[Mike Rosenstein]


Bibliography on Biped Locomotion

112 entries, last updated 18-Oct-2000
plain text bibtex file with keywords and annotations: biped.bib


biped.bib

@ARTICLE{AdolphK95,
  AUTHOR = {K. E. Adolph},
  TITLE = {Psychophysical Assessment of Toddlers Ability To
                  Cope With Slopes},
  JOURNAL = {Journal of Experimental Psychology-Human Perception
                  and Performance},
  VOLUME = {21},
  NUMBER = {4},
  PAGES = {734--750},
  YEAR = {1995},
  ABSTRACT = {This research examined how infants in early stages
                  of walking determine whether a hill is safe or risky
                  for locomotion. A psychophysical staircase procedure
                  provided estimates of infants' physical ability to
                  walk up and down slopes (2-degrees to 36-degrees),
                  and a 'go ratio' indexed the accuracy of their
                  perceptual judgments. On average, perceptual
                  judgments were scaled to walking ability on
                  slopes. Children walked on safe slopes and balked on
                  risky ones. For ascent, perceptual judgments were
                  related to length of walking experience and walking
                  skill on flat ground. Better walkers were also
                  better perceivers. For descent, judgments neatly
                  mirrored exploratory activity. Better perceivers
                  explored hills more efficiently by hesitating,
                  touching, and testing different positions on hills
                  around the limits of their physical ability.},
  ANNOTE = {The main points of this paper are summarized nicely
                  in the abstract. Infants tend to charge at uphill
                  slopes and 'learn by doing' whereas they use
                  perceptual cues to gauge the affordances of downhill
                  slopes (learn by exploration). Sometimes exploration
                  confirmed that the slope was safe to walk; other
                  times exploration resulted in an alternative
                  strategy (e.g., crawling, sliding). The go-ratio
                  (one minus the fraction of trials where the child
                  refused to make an attempt) shows that on slopes
                  shallower than the walking boundary, children almost
                  always make an attempt, but as the slope increases
                  beyond the empirically defined boundary, attemps
                  drop off rapidly to zero at the steepest slopes.},
  KEYWORDS = {child locomotion, development}
}

@ARTICLE{AdolphK97,
  AUTHOR = {K. E. Adolph},
  YEAR = 1997,
  TITLE = {Learning in the development of infant locomotion},
  JOURNAL = {Monographs of The Society For Research in Child Development},
  VOLUME = 62,
  NUMBER = 3,
  ANNOTE = {KeyWords Plus: 1ST 6 MONTHS, OPTICAL-FLOW, MOTOR DEVELOPMENT,
           YOUNG WALKERS, ORIENTATION DISCRIMINATION, INTERLIMB COORDINATION,
           AUTONOMOUS WALKING, POSTURAL RESPONSES, SCALED INFORMATION, OBJECT
           PROPERTIES}
}

@ARTICLE{AdolphK98,
  AUTHOR = {K. E. Adolph and M. A. Eppler},
  YEAR = 1998,
  TITLE = {Development of visually guided locomotion},
  JOURNAL = {Ecological Psychology},
  VOLUME = 10,
  NUMBER = {(3-4)},
  PAGES = {303--321},
  ABSTRACT = {This article presents a developmental account of changes in the
             visual guidance of locomotion. In contrast to the impressive
             efficiency of adult locomotion, locomotor activity is not under
             prospective control at the onset of human mobility. Infants
             require extensive crawling and walking experience before
             responding adaptively to variations in the terrain. At the same
             time that they are learning to navigate in increasingly varied
             environments, their bodies and skills are rapidly changing.
             Learning generalizes from safe, flat ground to novel surfaces but
             it does not transfer to new methods of locomotion. We account for
             these patterns of generality and specificity of learning by
             focusing on the role of exploratory behavior in detecting threats
             to balance control.},
  KEYWORDS = {child locomotion, development}
}

@ARTICLE{AssaianteC93,
  AUTHOR = {C. Assaiante and B. Amblard},
  YEAR = 1993,
  TITLE = {Ontogenesis of Head Stabilization In Space During Locomotion In
          Children: Influence of Visual Cues},
  JOURNAL = {Experimental Brain Research},
  VOLUME = 93,
  NUMBER = 3,
  PAGES = {499--515},
  ABSTRACT = {The main purpose of this study was to investigate the
             development of the head stabilization in space strategy (HSSS)
             during various locomotor tasks in 3- to 8-year-old children and
             adults. The contribution of visual factors to the HSSS was also
             examined by applying peripheral visual restriction, stroboscopic
             visual motion cue restriction, and darkness. The kinematics of
             the head and trunk rotations (pitch, yaw, and roll) were analyzed
             by means of an optical TV-image processor (ELITE system). For
             each of the three angular components, an appropriate ''head
             anchoring index'' was defined in order to compare the HSSS with a
             head stabilization on the trunk strategy. Head-trunk correlation
             rates were also calculated for each angular component in order to
             evaluate the head-trunk stiffness. The development of head-trunk
             coordinations during locomotion under normal vision can be said
             to involve at least three main periods. The first period occurs
             from the age of 3 to 6 years, when the HSSS is adopted only while
             walking on the flat ground. While walking on narrow supports,
             children in this age-group rather tend to increase the head-trunk
             stiffness, especially at 6 years of age. The second period
             includes 7- to 8-year-old children. Children of this age become
             able to adopt the HSSS while walking on narrow supports. During
             this period, the HSSS is associated with a large decrease in the
             head-trunk correlations. Lastly, in adulthood the HSSS is
             commonly adopted but specifically involves the roll component
             associated with the lateral body oscillations while walking.
             Vision was found to have little influence on children's HSSS
             while walking, whatever their age. Moreover, darkness induces an
             increase in the efficiency of the HSSS in adults. This confirms
             that the HSSS is the most appropriate strategy available for
             dealing with an increase in the level of equilibrium difficulty
             and may reflect a ''top-down'' organization of the postural
             control while walking. These results also suggest that the HSSS
             may be mainly of vestibular origin and presumably serves to
             facilitate the visual input processing, particularly that of the
             motion and peripheral visual cues which are involved in the
             control of body equilibrium during locomotion.},
  KEYWORDS = {child locomotion, development}
}

@ARTICLE{AssaianteC95,
  AUTHOR = {C. Assaiante and B. Amblard},
  YEAR = 1995,
  TITLE = {An Ontogenic Model For The Sensorimotor Organization of Balance
          Control In Humans},
  JOURNAL = {Human Movement Science},
  VOLUME = 14,
  NUMBER = 1,
  PAGES = {13--43},
  ABSTRACT = {On the basis of a review of the literature including the
             authors' own experimental studies, a model for the ontogenesis of
             balance control in children was developed. This qualitative
             ontogenetic model has to do with the equilibrium strategies built
             up by children in situations which are difficult but within the
             scope of their abilities. The model involves two functional
             principles. First: The stable reference frame on which the
             balance control is based can be either the support on which the
             subject is standing or the vertical gravity. When the frame of
             reference is the support surface, balance control is temporally
             organized either from the feet to the head (posture) or from the
             hip to the head (locomotion) (ascending organization). When the
             frame of reference is the vertical gravity, balance control is
             temporally organized from the head to the feet (descending
             organization). Secondly: Children gradually become able to master
             the various degrees of freedom which have to be controlled
             simultaneously during movement. For example, the head can be
             stabilized either on the trunk with the neck structures blocked
             (the en bloc mode of operation) or in space with the neck
             structures loose (the articulated model). Four main periods can
             be said to occur during the human life span. The first extends
             from birth up to the acquisition of the upright stance. This
             period is characterized by the development of postural responses
             along a cephalocaudal gradient. This chronological cephalocaudal
             progression with age of the ability to control several body
             segments may correspond to a descending temporal organization of
             unperturbed postural control, associated with an articulated
             operation of the head-trunk unit. The second period takes place
             from the acquisition of the upright stance up to around the age
             of 6. During this period, our experimental results are consistent
             with an ascending organization of balance control, from the feet
             to the head in postural stance and from the hips to the head in
             locomotion. This ascending organization is associated with an en
             bloc mode of head-trunk operation, which serves to minimize the
             degrees of freedom. The third period begins at around the age of
             7 and continues up to an upper age-limit which is as yet unknown.
             It is characterized by the return to an articulated mode of
             head-trunk operation, whereby the head stabilization necessary
             for the descending temporal organization of balance control is
             ensured. Lastly, the fourth period, which is reached during
             adulthood, combines the main features of the third period with a
             new skill involving the articulated operation of the head-trunk
             unit along with a selective control of the degrees of freedom at
             the neck level.},
  KEYWORDS = {child locomotion, development, balance}
}

@ARTICLE{AssaianteC96,
  AUTHOR = {C. Assaiante and B. Amblard},
  YEAR = 1996,
  TITLE = {Visual factors in the child's gait: Effects on locomotor skills},
  JOURNAL = {Perceptual and Motor Skills},
  VOLUME = 83,
  NUMBER = 3,
  PAGES = {1019--1041},
  ABSTRACT = {This kinematic study investigated the effects of visual factors
             on the angular oscillations of the head and trunk during various
             locomotor tasks in 3- to 8-yr.-old children and adults. The
             oscillations of the head under normal vision were limited and
             changed little across ages. Oscillations of both head and trunk
             about the roll axis were the most sensitive to difficulty in
             maintaining lateral equilibrium. On narrow supports, the lateral
             oscillations of the trunk increased between the ages of 3 and 6
             years, with a maximum amplitude at the latter age and then
             decreased up to adulthood, suggesting a transition phase around
             the age of 6 years. Visual restriction had little effect on the
             control of angular oscillations of the head in children or
             adults. On a narrow support in darkness, adults increased
             oscillations of the trunk but reduced oscillations of the head.
             It can be concluded that, regardless of the age, control of
             locomotor equilibrium aims at limiting the angular oscillations
             of the head. Vision seems to contribute little to stabilization
             of the head.},
  KEYWORDS = {child locomotion, development}
}

@ARTICLE{AssaianteC98,
  AUTHOR = {C. Assaiante and B. Thomachot R. Aurenty and B. Amblard},
  YEAR = 1998,
  TITLE = {Organization of lateral balance control in toddlers during the
          first year of independent walking},
  JOURNAL = {Journal of Motor Behavior},
  VOLUME = 30,
  NUMBER = 2,
  PAGES = {114--129},
  ABSTRACT = {The authors of the present study tested the hypothesis that
             toddlers initiate lateral body stabilization first at the hip
             level in order to better control the center of gravity (CG),
             minimize the upper body destabilization induced by the movement
             of the feet, and prevent falls. Intersegmental coordination among
             the hip, the shoulder, and the head was investigated in toddlers
             during their Ist year of independent walking. The efficiency of
             locomotor balance control was examined in the frontal plane. An
             automatic optical TV image processor (ELITE system) was used in
             analyzing the kinematics of foot, hip, shoulder, and head
             rotations. For the hip, the shoulder, and the head, appropriate
             anchoring indices were defined so that comparisons could be made
             concerning the stabilization of a given body segment with respect
             to its external space and to the adjacent supporting anatomical
             segment. Cross-correlation functions were also used for
             extracting the temporal patterns of the body segments that
             occurred during locomotion and for obtaining some information
             about the coupling of 2 consecutive segments such as the
             head-shoulder and the shoulder-hip. First, hip stabilization in
             space appeared from the Ist week of independent walking and
             clearly preceded those of the shoulder and the head, suggesting
             an ascending progression, with age, in the ability of new walkers
             to control lateral balance during locomotion. Second, the hip
             movements occurred before the shoulder movements and the shoulder
             movements before the head movements, indicating that locomotor
             balance control is organized temporally in an ascending fashion,
             from the hip to the head. Third, the high values of the
             correlation coefficients, mainly between the head and the
             shoulder, were consistent with a global en bloc operation of the
             head-trunk unit.},
  KEYWORDS = {child locomotion, development}
}

@ARTICLE{AssaianteC98b,
  AUTHOR = {C. Assaiante},
  YEAR = 1998,
  TITLE = {Development of locomotor balance control in healthy children},
  JOURNAL = {Neuroscience and Biobehavioral Reviews},
  VOLUME = 22,
  NUMBER = 4,
  PAGES = {527--532},
  ABSTRACT = {A set of experimental studies showing how inter-segmental
             coordination develops during childhood in various locomotor tasks
             is reviewed. On the basis of these results and two functional
             principles (stable reference frame and control of the degrees of
             freedom of the body joints), we recently proposed an ontogenetic
             model for the sensorimotor organization of balance control in
             humans (5). In this model, the hypothesis was put forward that
             the two main modes of equilibrium control (ascending vs
             descending temporal organization) operate alternatively and are
             associated with either of two modes of head-trunk linkage ('en
             bloc' vs articulated) during four successive periods in the
             course of ontogenesis. The advantage of this model is that it is
             heuristic and therefore open to further improvements, including
             the generalization of these balance strategies to most of the
             posture-kinetic activities, the comparison between unperturbed
             natural balance and reactions to postural disturbances. Some
             improvements are suggested, and are illustrated by the studies of
             intersegmental coordination in new experimental tasks such as
             hops using one foot or two feet and the initiation of gait. These
             new results are consistent with the idea that mastery of the
             degrees of freedom to be controlled simultaneously during the
             movement improves gradually with age. Moreover, they support the
             concept of multiple reference frames which operate in a
             complementary manner or in concert to permit the most appropriate
             organization of balance control, depending on the environmental
             requirements.},
  KEYWORDS = {child locomotion, development, balance}
}

@PHDTHESIS{BenbrahimH96,
  AUTHOR = {Hamid Benbrahim},
  YEAR = 1996,
  TITLE = {Biped Dynamic Walking Using Reinforcement Learning},
  SCHOOL = {University of New Hampshire},
  ANNOTE = {RL approach to walking with a real robot that's not quite bipedal
           because it's attached to a four-wheeled cart.},
  ABSTRACT = {This thesis presents a study of biped dynamic walking using
             reinforcement learning. Ahardware biped robot was built. It uses
             low gear ratio DC motors in order to provide freeleg movements.
             The Self Scaling Reinforcement learning algorithm was developed
             inorder to deal with the problem of reinforcement learning in
             continuous action domains. Anew learning architecture was
             designed to solve complex control problems. It usesdifferent
             modules that consist of simple controllers and small neural
             networks. Thearchitecture allows for easy incorporation of
             modules that represent new knowledge, ornew requirements for the
             desired task. Control experiments were carried out using
             asimulator and the physical biped. The biped learned dynamic
             walking on flat surfaceswithout any previous knowledge about its
             dynamic model.},
  KEYWORDS = {Robotics, RL, Biped Locomotion}
}

@ARTICLE{BenbrahimH97,
  AUTHOR = {Hamid Benbrahim and Judy A. Franklin},
  YEAR = 1997,
  TITLE = {Biped Dynamics Walking Using Reinforcement Learning},
  JOURNAL = {Robotics and Autonomous Systems},
  VOLUME = 22,
  PAGES = {283--302},
  ANNOTE = {Short, journal version of Benbrahim's PhD thesis.},
  ABSTRACT = {This paper presents some results from a study of biped dynamic
             walking usingreinforcement learning. During this study a hardware
             biped robot was built, a newreinforcement learning algorithm as
             well as a new learning architecture were developed.The biped
             learned dynamic walking without any previous knowledge about its
             dynamicmodel. The Self Scaling Reinforcement learning algorithm
             was developed in order to dealwith the problem of reinforcement
             learning in continuous action domains. The learningarchitecture
             was developed in order to solve complex control problems. It uses
             differentmodules that consist of simple controllers and small
             neural networks. The architectureallows for easy incorporation of
             new modules that represent new knowledge, or newrequirements for
             the desired task.},
  KEYWORDS = {Robotics, RL, Biped Locomotion}
}

@ARTICLE{BreniereY89,
  AUTHOR = {Y. Breniere and B. Bril and R. Fontaine},
  YEAR = 1989,
  TITLE = {Analysis of the transition from upright stance to steady-state
          locomotion in children with under 200 days of autonomous walking},
  JOURNAL = {Journal of Motor Behavior},
  VOLUME = 21,
  NUMBER = 1,
  PAGES = {20-37},
  ANNOTE = {In contrast to adults, who adjust their gait initiation to match
           the target velocity, infants appear to use one general gait
           initiation "program" which takes more than one step. Also in
           contrast to adults, who shift their COP toward the heels in
           anticipation of the start of the first step, infants do not use
           this strategy as part of gait initiation. [They haven't mastered
           their postural control and so they don't expolit the natural
           dynamics as adults do.]},
  ABSTRACT = {The aim of this paper was to study, from a developmental
             perspective, the transient phase of gait during the period
             between the standing posture and the achievement of steady gait,
             using temporal and biomechanical parameters. Eight children who
             had been walking autonomously for 64 to 200 days were observed. A
             total of 64 sequences of steps were analyzed. A sequence of steps
             began with the child standing still and was executed on a large
             force plate. From the determination of the instantaneous velocity
             of center of gravity results establish that, unlike adults,
             progression velocity in children is not reached at the end of the
             first step, but after two to four steps. The gait initiation
             process does not depend on the steady state velocity, but results
             from an initial fall. The duration of the movement up to the end
             of the first step is independent of the progression velocity but
             depends only upon the body mass and moment of inertia of the
             children.},
  KEYWORDS = {Biomech, Child Locomotion, Development, Gait Initiation}
}

@ARTICLE{BreniereY96,
  AUTHOR = {Y. Breniere},
  YEAR = 1996,
  TITLE = {Why we walk the way we do},
  JOURNAL = {Journal of Motor Behavior},
  VOLUME = 28,
  NUMBER = 4,
  PAGES = {291--298},
  ABSTRACT = {By using inverse dynamics and forceplate recordings, this study
             established the principle of oscillating systems and the
             influence of gravity and body parameters on the programming of
             the gait parameters, step frequency and length. Calculation of
             the ratio of the amplitude of the center of mass (CM) and the
             center of foot pressure (CP) oscillations yielded an equation and
             established a biomechanical constant, the natural body frequency
             (NBF). NBF appears to be an absolute invariant parameter,
             specific to human standing posture and gait in terrestrial
             gravity, which influences the relative positions of CM and CP and
             whose value separates the frequency bands of standing posture
             from those for gait. This equation was tested by using the
             experimental paradigm of stepping in place and then used in
             calculating the magnitude of CM oscillations during gait. The
             biomechanical analysis of the experimental observations allows
             one to establish the relationships between body parameters and
             gravity and the central programming of locomotor parameters.},
  KEYWORDS = {biomech, locomotion, development}
}

@ARTICLE{BrilB98,
  AUTHOR = {B. Bril and A. Ledebt},
  YEAR = 1998,
  TITLE = {Head coordination as a means to assist sensory integration in
          learning to walk},
  JOURNAL = {Neuroscience and Biobehavioral Reviews},
  VOLUME = 22,
  NUMBER = 4,
  PAGES = {555--563},
  ABSTRACT = {After a brief presentation of the development of free walking
             interpreted as learning dynamical equilibrium, the problem of
             sensory integration in the process of walking development is
             discussed. A critical review of the role of vision in the
             development of posture-locomotor task is presented, along with
             recent test results on the development of the vestibular system.
             A final section presents the development of head stabilization
             and coordination as a necessary means to assist sensory
             integration. It is suggested that if sensory information is
             necessary to enhance posture-locomotor skills, a good mastery of
             walking is in turn necessary to increase the efficiency of
             sensory integration.},
  KEYWORDS = {child locomotion, development}
}

@ARTICLE{BrilB92,
  AUTHOR = {Blandine Bril and Yvon Breniere},
  YEAR = 1992,
  TITLE = {Postural Requirements and Progression Velocity in Young Walkers},
  JOURNAL = {Journal of Motor Behavior},
  VOLUME = 24,
  NUMBER = 1,
  PAGES = {105--116},
  ANNOTE = {The authors are interested in the way static postural control and
           dynamic walking control bootstrap each other as infants acquire
           independent locomotion. They assume (as does Thelen) that the basic
           ability to walk is present yet masked by the demands of postural
           control (primarily strength). The authors interpret the result of
           decreasing BOS width in two ways. First, a wider BOS is needed for
           new walkers because this gives greater stability in the lateral
           direction. Second, a wider BOS early on helps with gait initiation;
           new walkers use fewer degrees of freedom by rocking back-and-forth
           as they walk, but then free up degrees of freedom by falling
           forward as they gain experience (cf. Bernstein). The authors also
           speculate that learning to walk is a two-stage process because
           there's an initial fast change in gait parameters (the integration
           phase) followed by a slow change --- and more importantly, by a
           change in interrelationships -- in the gait parameters (the tuning
           phase).},
  ABSTRACT = {This article describes developmental changes in gait velocity
             and relates these changes to gait parameters that index postural
             stability (step width and lateral acceleration) and two
             components of velocity (cadence and step length).... From a
             developmental point of view, the data lead us to interpret early
             walking (the first 5 months) as a process of integration of
             postural constraints into the dynamic necessities of gait
             movement. A second phase, beginning after 4 to 5 months of
             independent walking, is considered to be a tuning phase
             characterized by a more precise adjustment of the gait
             parameters.},
  KEYWORDS = {Biomech, Child Locomotion, Development}
}

@ARTICLE{CalancieB94,
  AUTHOR = {B. Calancie and B. Needhamshropshire and P. Jacobs and K. Willer
           and G. Zych and B. A. Green},
  YEAR = 1994,
  TITLE = {Involuntary Stepping After Chronic Spinal-Cord Injury --- Evidence
          For a Central Rhythm Generator For Locomotion In Man},
  JOURNAL = {Brain},
  VOLUME = 117,
  NUMBER = 5,
  PAGES = {1143--1159},
  ABSTRACT = {We investigated a pattern of involuntary lower extremity
             stepping-like movements which recently appeared in a subject with
             a 17-year history of neurologically incomplete injury to the
             cervical spinal cord. The movements were rhythmic, alternating
             and forceful, involved all muscles of the lower extremities and
             could be reliably evoked by lying the subject down (supine) and
             extending his hips. Once in this position, the movements
             continued spontaneously in the absence of external sensory
             perturbations, with a step-cycle duration of similar to 3.5 s
             (0.3 Hz). This rate could be either increased or temporarily
             halted by specific sensory inputs. Anaesthetizing the subject's
             tight hip joint, in which we found evidence of pathology, led to
             a marked attenuation of the stepping movements for a period of
             similar to 15 min. We believe that a combination of (i) preserved
             but limited supraspinal tonic facilitation, and (ii) abnormal,
             perhaps noxious afferent in flow from the subject's right hip to
             the spinal cord may underlie the appearance of this highly
             unusual and involuntary movement pattern. The striking similarity
             between the movement and EMG patterns in this subject and those
             described in many reports using the surgically reduced cat model
             suggests that we were witnessing the first well-defined example
             of a central rhythm generator for stepping in the adult human.},
  KEYWORDS = {neuro, CPG, locomotion}
}

@INPROCEEDINGS{CaoM98,
  AUTHOR = {M. Cao and A. Kawamura},
  YEAR = 1998,
  TITLE = {A Design Method of Neural Oscillatory Networks for Generation of
          Humanoid Biped Walking Patterns},
  BOOKTITLE = {Proceedings of the {IEEE} International Conference on Robotics
              and Automation},
  PAGES = {2357--2362},
  PUBLISHER = {IEEE Computer Society},
  ADDRESS = {Piscataway}
}

@ARTICLE{ChangT93,
  AUTHOR = {T. H. Chang and Y. Hurmuzlu},
  YEAR = 1993,
  TITLE = {Sliding Control Without Reaching Phase and Its Application To
          Bipedal Locomotion},
  JOURNAL = {Journal of Dynamic Systems Measurement and Control ---
            Transactions of the {ASME}},
  VOLUME = 115,
  NUMBER = 3,
  PAGES = {447--455},
  ABSTRACT = {A new variable structure control law based on the Lyapunov's
             second method that can be used in trajectory planning problems of
             robotic systems is developed. A modified approach to the
             formulation of the sliding domain equations in terms of tracking
             errors has been presented. This approach possesses three distinct
             advantages: (i) it eliminates the reaching phase, (ii) it
             provides means to predict the entire motion and directly control
             the evolution of tracking errors, (iii) it facilitates the
             trajectory planning process in the joint and/or cartesian spaces.
             A planar, five-link bipedal locomotion model has been developed.
             Five constraint relations that cast the motion of the biped in
             terms of four parameters are developed. The new control method is
             applied to regulate the locomotion of the system according to the
             five constraint relations. Numerical simulation performed to
             verify the ability of the controller to achieve steady gait by
             applying the proposed control scheme. Bifurcation diagrams of the
             periodic motions of the biped are used to demonstrate the
             improvements in controller performance that arise from the
             application of the proposed method.},
  KEYWORDS = {robotics, biped locomotion, Lyapunov}
}

@ARTICLE{ChengM97,
  AUTHOR = {M. Y. Cheng and C. S. Lin},
  YEAR = 1997,
  TITLE = {Genetic algorithm for control design of biped locomotion},
  JOURNAL = {Journal of Robotic Systems},
  VOLUME = 14,
  NUMBER = 5,
  PAGES = {365--373},
  ABSTRACT = {Dynamic biped walking is a difficult control problem. The design
             involves that of the controller as well as the gait. A typical
             design procedure involves tedious analysis, careful planning, and
             testing. The procedure is time consuming and the analysis is
             often based on some linearized model. Selection of control
             parameters and nominal trajectory determines the quality of
             control and in typical designs, some or all of the parameters are
             selected intuitively. The result is often not the best. If some
             special goal (such as to walk as fast as possible) is desirable,
             the design may become even harder. While the analytical approach
             is not easy, one possible alternative is to obtain the optimal or
             near-optimal design through parameter search. This study explores
             this approach. The design of the biped controller and gait is
             formulated as a parameter search problem, and a genetic algorithm
             is applied to help obtain the optimal design. Designs to achieve
             different goals, such as being able to walk on an inclined
             surface, walk at a high speed, or walk with a specified step size
             have been evolved with the use of the genetic algorithm.
             Simulation results show that the genetic algorithm (GA) is
             capable of finding good solutions.},
  KEYWORDS = {robotics, biped locomotion, AI, simulation}
}

@INPROCEEDINGS{ChevallereauC98,
  AUTHOR = {C. Chevallereau and A. M. {Formal'sky} and B. Perrin},
  YEAR = 1998,
  TITLE = {Low Energy Cost Reference Trajectories for a Biped Robot},
  BOOKTITLE = {Proceedings of the {IEEE} International Conference on Robotics
              and Automation},
  PAGES = {1398--1404},
  PUBLISHER = {IEEE Computer Society},
  ADDRESS = {Piscataway}
}

@ARTICLE{ChouL97,
  AUTHOR = {L. Chou and L. F. Draganich and S. M. Song},
  YEAR = 1997,
  TITLE = {Minimum energy trajectories of the swing ankle when stepping over
          obstacles of different heights},
  JOURNAL = {Journal of Biomechanics},
  VOLUME = 30,
  NUMBER = 2,
  PAGES = {115--120},
  ANNOTE = {The authors use DP to find optimal ankle trajectories for stepping
           over obstacles. Humans appear to minimize energy expenditure when
           walking on level ground but not when stepping over obstacles.
           (Humans use larger-than-necessary obstacle clearance.) See also
           Chou et al., J. Biomech 28(4):377, 1995.},
  ABSTRACT = {This study was performed to test the hypothesis that the motion
             of the lower extremities when stepping over obstacles is governed
             by the criterion of minimum mechanical energy. The trajectories
             of the swing ankle during level walking and when stepping over
             obstacles of 51, 102, 153, and 204 mm heights were predicted and
             measured for eight healthy young adults. The predictions were
             made with a planar, seven-link linkage model based on the
             criterion of minimum mechanical energy using the method of
             dynamic programming. When stepping over obstacles, the predicted
             trajectories of the swing ankle were just high enough for the
             swing toe to clear the obstacles. The clearances measured between
             the obstacle and toe were significantly larger than those
             predicted. When stepping over obstacles the levels of work
             required to generate the measured trajectories were significantly
             larger (p less than or equal to 0.002) than those required to
             produce the predicted trajectories. The amount of work necessary
             to generate the measured or predicted trajectories increased
             linearly (significant at p less than or equal to 0.022) with
             obstacle height and, except when predicting the trajectory for
             the lowest obstacle, was significantly greater than that required
             when walking on level ground (p < 0.02). Thus, conservation of
             energy was found to become a less dominant criterion for
             governing the motion of the body when crossing obstacles than
             when walking on level ground.},
  KEYWORDS = {biomech, obstacle avoidance, DP, RL, optimal control}
}

@ARTICLE{ColemanM98,
  AUTHOR = {Michael J. Coleman and Andy Ruina},
  YEAR = 1998,
  TITLE = {An Uncontrolled Walking Toy That Cannot Stand Still},
  JOURNAL = {Physical Review Letters},
  VOLUME = 80,
  NUMBER = 16,
  PAGES = {3658--3661},
  ANNOTE = {The authors extend McGeer's work with passive walkers and show the
           construction of a Tinker Toy device that is dynamically stable in
           side-to-side motion as well as fore-aft motion.},
  ABSTRACT = {We built a simple two-leg toy that can walk stably with no
             control system. It walks downhill powered only by gravity. It
             seems to be the first McGeer-like passive-dynamic walker that is
             statically unstable in all standing positions, yet is stable in
             motion. It is one of a few known mechanical devices that are
             stable near a statically unstable configuration but do not depend
             on spinning parts. Its design is loosely based on simulations
             which do not predict its observed stability. Its motion
             highlights the possible role of uncontrolled nonholonomic
             mechanics in balance.},
  KEYWORDS = {Biomech, NLD, passive locomotion}
}

@ARTICLE{CollinsJ94,
  AUTHOR = {J. J. Collins and S. A. Richmond},
  YEAR = 1994,
  TITLE = {Hard-wired central pattern generators for quadrupedal locomotion},
  JOURNAL = {Biological Cybernetics},
  VOLUME = 71,
  NUMBER = 5,
  PAGES = {375--385},
  ABSTRACT = {Animal locomotion is generated and controlled, in part, by a
             central pattern generator (CPG), which is an intraspinal network
             of neurons capable of producing rhythmic output. In the present
             work, it is demonstrated that a hard-wired CPG model, made up of
             four coupled nonlinear oscillators, can produce multiple
             phase-locked oscillation patterns that correspond to three common
             quadrupedal gaits - the walk, trot, and bound. Transitions
             between the different gaits are generated by varying the
             network's driving signal and/or by altering internal oscillator
             parameters. The above in numero results are obtained without
             changing the relative strengths or the polarities of the system's
             synaptic interconnections, i.e., the network maintains an
             invariant coupling architecture. It is also shown that the
             ability of the hard-wired CPG network to produce and switch
             between multiple gait patterns is a model-independent phenomenon,
             i.e., it does not depend upon the detailed dynamics of the
             component oscillators and/or the nature of the inter-oscillator
             coupling. Three different neuronal oscillator models - the Stein
             neuronal model, the Van der Pol oscillator, and the
             FitzHugh-Nagumo model - and two different coupling schemes are
             incorporated into the network without impeding its ability to
             produce the three quadrupedal gaits and the aforementioned gait
             transitions.},
  KEYWORDS = {}
}

@ARTICLE{CymbalyukG98,
  AUTHOR = {G. S. Cymbalyuk and R. M.Borisyuk and U. Mueller-{W}ilm and H.
           Cruse},
  YEAR = 1998,
  TITLE = {Oscillatory network controlling six-legged locomotion. Optimization
          of model parameters},
  JOURNAL = {Neural Networks},
  VOLUME = 11,
  NUMBER = {(7-8)},
  PAGES = {1449--1460},
  ANNOTE = {The paper describes a model of six-legged walking, with a sort of
           reinforcement learning based on the FLSS cost (frequency of the
           loss of static stability). The authors use a GA to minimize FLSS to
           the vicinity of the global minimum and then use a Monte Carlo
           method to search a smaller space of solutions.},
  ABSTRACT = {The model of a legged locomotory system is optimized to ensure
             stable motion, reliable with respect to different initial
             conditions. The cost function suggested is based on the frequency
             of the model's loss of stability evaluated for randomly chosen
             initial leg positions. The optimized model can start from the
             majority of allowed leg configurations, demonstrating stable
             walking at low and moderate speeds. Furthermore, an acceleration
             procedure is designed to permit the model to pick up practically
             every speed and then walk successfully.},
  KEYWORDS = {Biomech, locomotion, RL}
}

@ARTICLE{DavyD87,
  AUTHOR = {D. T. Davy and M. L. Audu},
  YEAR = 1987,
  TITLE = {A Dynamic Optimization Technique For Predicting Muscle Forces In
          The Swing Phase of Gait},
  JOURNAL = {Journal of Biomechanics},
  VOLUME = 20,
  NUMBER = 2,
  PAGES = {187--201},
  ANNOTE = {The authors describe the use use of optimal control techniques as
           a means for estimating muscle forces from gait kinematics (no
           invasive measurements). They place particular emphasis of
           approaches that account for musculoskeletal dynamics which, in
           contrast to "static" optimization techniques, successfully predict
           features like the lag between motor command and torque generation.
           (See also a Letter to the Editor by Herbert Hatze in J. Biomech
           21(10), 1988.)},
  ABSTRACT = {The muscle force sharing problem was solved for the swing phase
             of gait using a dynamic optimization algorithm. For comparison
             purposes the problem was also solved using a typical static
             optimizaton algorithm. The objective function for the dynamic
             optimization algorithm was a combination of the tracking error
             and the metabolic energy consumption....},
  KEYWORDS = {Biomech, Optimal Control, Locomotion}
}

@ARTICLE{DiedrichF98,
  AUTHOR = {F. J. Diedrich and W. H. Warren},
  YEAR = 1998,
  TITLE = {The dynamics of gait transitions: Effects of grade and load},
  JOURNAL = {Journal of Motor Behavior},
  VOLUME = 30,
  NUMBER = 1,
  PAGES = {60--78},
  ABSTRACT = {Diedrich and Warren (1995a) proposed that gait transitions
             behave like bifurcations between attractors, with the relative
             phase of the leg segments as an order parameter and stride
             frequency and stride length as control parameters. In the present
             experiments, the authors tested the prediction that manipulation
             of the attractor layout, either through the addition of load to
             the ankles or through an increase in the grade of the treadmill,
             induces corresponding changes in the walk-run transition. As
             predicted, the load manipulation shifted the most stable walk and
             the transition to lower stride frequencies. In contrast, the
             grade manipulation shifted the most stable walk and the

             transition to shorter stride lengths. Other features of the
             dynamic theory were also replicated, including enhanced
             fluctuations of phase and systematic changes in stride length and
             frequency at the transition. Overall, in these experiments a
             shift of the attractors in control parameter space yielded a
             corresponding shift of the transition.},
  KEYWORDS = {biomech, locomotion, NLD}
}

@ARTICLE{DimitrijevicM98,
  AUTHOR = {M. R. Dimitrijevic and Y. Gerasimenko and M. M. Pinter},
  YEAR = 1998,
  TITLE = {Evidence for a spinal central pattern generator in humans},
  JOURNAL = {Annals of the New York Academy of Sciences},
  VOLUME = 860,
  PAGES = {360--376},
  ABSTRACT = {Non-patterned electrical stimulation of the posterior structures
             of the lumbar spinal cord in subjects with complete,
             long-standing spinal cord Injury, can induce patterned,
             locomotor-like activity, We show that epidural spinal cord
             stimulation can elicit step-like EMG activity and locomotor
             synergies in paraplegic subjects. An electrical train of stimuli
             applied over the second lumbar segment with a frequency of 25 to
             60 Hz and an amplitude of 5-9 V was effective in inducing
             rhythmic, alternating stance and swing phases of the lower limbs.
             This finding suggests that spinal circuitry in humans has the
             capability of generating locomotor-like activity even when
             isolated from brain control, and that externally controlled
             sustained electrical stimulation of the spinal cord can replace
             the tonic drive generated by the brain.},
  KEYWORDS = {neuro, CPG, locomotion}
}

@ARTICLE{DuysensJ98,
  AUTHOR = {J. Duysens and H. {{V}an de {C}rommert}},
  YEAR = 1998,
  TITLE = {Neural control of locomotion; Part 1. The central pattern generator
          from cats to humans},
  JOURNAL = {Gait & Posture},
  VOLUME = 7,
  PAGES = {131--141},
  ABSTRACT = {In the last years it has become possible to regain some
             locomotor activity in patients suffering from an incomplete
             spinal cord injury (SCI) through intense training on a treadmill.
             The ideas behind this approach owe much to insights derived from
             animal studies. Many studies showed that cats with complete
             spinal cord transection can recover locomotor function. These
             observations were at the basis of the concept of the central
             pattern generator (CPG) located at spinal level. The evidence for
             such a spinal CPG in cats and primates (including man) is
             reviewed in part 1, with special emphasis on some very recent
             developments which support the view that there is a human spinal
             CPG for locomotion.},
  KEYWORDS = {neuro, CPG, locomotion}
}

@ARTICLE{EngJ97,
  AUTHOR = {J. J. Eng and D. A. Winter and A. E. Patla},
  YEAR = 1997,
  TITLE = {Intralimb dynamics simplify reactive control strategies during
          locomotion},
  JOURNAL = {Journal of Biomechanics},
  VOLUME = 30,
  NUMBER = 6,
  PAGES = {581--588},
  ANNOTE = {The authors show that in normal walking and in trip situations,
           the nervous system still exploits the passive dynamics of the legs.
           They also show that active control of the knee leads to control of
           the ankle and hip and that energy cost, which may be a factor for
           normal walking, is not optimized during a trip of slip.},
  ABSTRACT = {The utilization of passive dynamics to control the swing
             trajectory is one mechanism which serves to minimize energy costs
             during locomotion, in addition to reducing the complexity of the
             neural control. In a reactive situation (e.g. trip or slip during
             walking), the energy cost may not be a major determinant of the
             locomotor activity as there is a need for quick corrective action
             under the threat of a fall. Therefore, we addressed the following
             question: does the nervous system utilize passive dynamics during
             the reactive control of locomotion? An unexpected mechanical
             perturbation was applied to the foot during early and late swing
             during walking. Video data were input into an inverse dynamics
             routine to obtain the joint moment and mechanical power profiles
             and to partition the joint moments into active and passive
             components. The nervous system still utilized the passive
             dynamics of the effector system; active control of a single
             joint, the knee joint, passively facilitated the flexor action at
             the proximal hip and distal ankle joint following the early swing
             perturbation. The minimization of the mechanical energy cost was
             not a major determinant for this task since the total mechanical
             work during the perturbed steps was greater than during normal
             steps. A neuromuscular constraint was observed following the late
             swing perturbation; the active control of the hip and knee joints
             were increased but the magnitude of the hip extensor/knee flexor
             moment was invariant and equal to 1.6. The intralimb dynamics
             identified during these responses may serve to simplify the
             complexity of the active control of the nervous system.},
  KEYWORDS = {biomech, biped locomotion, passive dynamics, optimal control}
}

@ARTICLE{EpplerM96,
  AUTHOR = {M. A. Eppler and K. E. Adolph and T. Weiner},
  YEAR = 1996,
  TITLE = {The developmental relationship between infants' exploration and
          action on slanted surfaces},
  JOURNAL = {Infant Behavior & Development},
  VOLUME = 19,
  NUMBER = 2,
  PAGES = {259--264},
  ABSTRACT = {This research provides converging evidence that infants use
             exploratory activity to differentiate slant around a horizontal
             axis before they relate information about slant to consequences
             for locomotion. In Experiment 1, 14-month-old toddlers walked
             down safe, shallow 10 degrees hills and slid down or avoided
             risky, steep 36 degrees hills when height of the hills was held
             constant. Results indicate that judgments were based an slant. In
             Experiment 2, 9-month-old crawling infants explored shallow 10
             degrees and steep 30 degrees slopes differentially in a
             nonlocomotor task. Exploration was similar to previous locomotor
             research with full-size hills, even though crawlers plunged
             headlong over both shallow and steep hills in the earlier study.},
  KEYWORDS = {child locomotion, development}
}

@ARTICLE{ErmentroutB94,
  AUTHOR = {B. Ermentrout and N. Kopell},
  YEAR = 1994,
  TITLE = {Learning of Phase Lags in Coupled Neural Oscillators},
  JOURNAL = {Neural Computation},
  VOLUME = 6,
  NUMBER = 2,
  PAGES = {225--241},
  ABSTRACT = {If an oscillating neural circuit is forced by another such
             circuit via a composite signal, the phase lag induced by the
             forcing can be changed by changing the relative strengths of
             components of the coupling. We consider such circuits, with the
             forced and forcing oscillators receiving signals with some given
             phase lag. We show how such signals can be transformed into an
             algorithm that yields connection strengths needed to produce that
             lag. The algorithm reduces the problem of producing a given phase
             lag to one of producing a kind of synchrony with a ''teaching''
             signal; the algorithm can be interpreted as maximizing the
             correlation between voltages of a cell and the teaching signal.
             We apply these ideas to regulation of phase lags in chains of
             oscillators associated with undulatory locomotion.},
  KEYWORDS = {CPG, learning}
}

@ARTICLE{FerrisD99,
  AUTHOR = {Daniel P. Ferris and Kailine Liang and Claire T. Farley},
  YEAR = 1999,
  TITLE = {Runners Adjust Leg Stiffness for their First Step on a New Running
          Surface},
  JOURNAL = {Journal of Biomechanics},
  VOLUME = 32,
  PAGES = {787--794},
  ANNOTE = {The authors assume that the leg and running surface can be modeled
           as two linear springs in series. They use simulation results as
           well as human data to show that runners quickly adapt their
           effective leg stiffness to suit the terrain stiffness.},
  ABSTRACT = {Human runners adjust the stiffness of their stance leg to
             accommodate surface stiffness during steady state running. This
             adjustment allows runners to maintain similar center of mass
             movement (e.g., ground contact time and stride frequency)
             regardless of surface stiffness....},
  KEYWORDS = {Biomech, Gait, Stiffness}
}

@ARTICLE{FujimotoY98,
  AUTHOR = {Y. Fujimoto and A. Kawamura},
  YEAR = 1998,
  TITLE = {Simulation of an autonomous biped walking robot including
          environmental force interaction},
  JOURNAL = {{IEEE} Robotics & Automation Magazine},
  VOLUME = 5,
  NUMBER = 2,
  PAGES = {33--42},
  ABSTRACT = {This autonomous biped walking control system is based on
             reactive force interaction at the foothold. The precise 3D
             dynamic simulation presented includes: 1) a posture controller
             which accommodates the physical constraints of the reactive
             force/torque on the foot with quadratic programming. 2) a
             real-time COM (center of mass) tracking controller for foot
             placement, with a discrete inverted pendulum model. 3) a 3D
             dynamic simulation scheme with precise contact with the
             environment. The proposed approach realizes robust biped
             locomotion because environmental interaction is directly
             controlled. The proposed method is applied to a 20 axes
             simulation model, and stable biped locomotion with velocity of
             0.25 m/sec and a stepping time of 0.5 sec/step is realized.},
  KEYWORDS = {robotics, biped locomotion}
}

@ARTICLE{GarciaM98,
  AUTHOR = {M. Garcia and A. Chatterjee and A. Ruina and M. Coleman},
  YEAR = 1998,
  TITLE = {The simplest walking model: Stability, complexity, and scaling},
  JOURNAL = {Journal of Biomechanical Engineering --- Transactions of the ASME},
  VOLUME = 120,
  NUMBER = 2,
  PAGES = {281--288},
  ABSTRACT = {We demonstrate that an irreducibly simple, uncontrolled
             two-dimensional two-link model, vaguely resembling human legs,
             can walk down a shallow slope, powered only by gravity. This
             model is the simplest special case of the passive-dynamic models
             pioneered by McGeer (1990a). It has two rigid massless legs
             hinged at the hip, a point-mass at the hip, and infinitesimal
             point-masses at the feet. The feet have plastic (no-slip,
             no-bounce) collisions with the slope surface, except during
             forward swinging, when geometric interference (foot scuffing) is
             ignored. After nondimensionalizing the governing equations, the
             model has only one free parameter the ramp slope gamma. This
             model shows stable walking modes similar to more elaborate
             models, bur allows some use of analytic methods to study ifs
             dynamics. The analytic calculations find initial conditions and
             stability estimates for period-one gait limit cycles. The model
             exhibits two period-one gait cycles, one of which is stable when
             0 < gamma < 0.015 rad. With increasing gamma, stable cycles of
             higher periods appear, and the walking-like motions apparently
             become chaotic through a sequence of period doublings. Scaling
             laws for the model predict that walking speed is proportional to
             stance angle, stance angle is proportional to gamma(1/3), and
             that the gravitational power used is proportional to upsilon(4)
             where upsilon is the velocity along the slope.},
  KEYWORDS = {robotics, biped locomotion}
}

@ARTICLE{GoddardR92,
  AUTHOR = {R. E. Goddard and Y. P. Zheng and H. Hemami},
  YEAR = 1992,
  TITLE = {Control of the Heel-Off to Toe-Off Motion of a Dynamic Biped Gait},
  JOURNAL = {IEEE Transactions on Systems, Man, and Cybernetics},
  VOLUME = 22,
  NUMBER = 1,
  PAGES = {92--102}
}

@INPROCEEDINGS{GorceP98,
  AUTHOR = {P. Gorce and F. {E}l Hafi},
  YEAR = 1998,
  TITLE = {Modelling of Human Body Control Scheme and Learning in Stepping
          Motion Over an Obstacle},
  BOOKTITLE = {Proceedings of the {IEEE/RSJ} International Conference on
              Intelligent Robots and Systems},
  PAGES = {64--69},
  PUBLISHER = {IEEE Computer Society},
  ADDRESS = {Piscataway, NJ},
  ANNOTE = {The authors start by capturing motion information for human
           subjects stepping over boxes with different heights (0.2-0.7 m).
           They identify a minimum "security" distance to the obstacle such
           that clearance of the box is possible as well as a maximum
           "influence" distance such that the current gait is altered to step
           over the obstacle. They also assume that the trajectory of the lead
           leg is symmetric wrt the box when deriving the desired joint
           trajectories. By "learning" the authors refer to minimization of
           the leg distances to the box -- the distance from the obstacle to
           the nearest part of each leg (roughly the knee of the stance leg)
           -- but they give no other details.},
  ABSTRACT = {The aim of our study is to bettern understand the decision
             mechanisms of human body during the stepping motion over an
             obstacle.... this approach constitute decision module based on
             learning process to realize stepping motion. We compare
             simulation results to experimental data.},
  KEYWORDS = {Robotics, Biomech, Bipedal Locomotion, Simulation}
}

@ARTICLE{GorceP98b,
  AUTHOR = {P. Gorce and M. Guihard},
  YEAR = 1998,
  TITLE = {On dynamic control of pneumatic bipeds},
  JOURNAL = {Journal of Robotic Systems},
  VOLUME = 15,
  NUMBER = 7,
  PAGES = {421--433},
  ABSTRACT = {Some fundamental properties must be verified when dealing with
             the dynamic control of legged robots. Actually, to make the robot
             follow a given gait, the control strategy has to ensure dynamic
             stability in real time. Moreover, to make the supervisor
             efficient, the control of each leg has to be highly reliable.
             Accuracy robustness, and rapidly are then required to follow
             dynamic motions. To verify these properties, we propose a general
             control architecture designed for pneumatic legged robots and
             develop it for a biped. This control architecture is composed of
             two main levels. The upper one, called the "Coordinator" level,
             maintains the robot stability by correcting on line its center of
             mass acceleration and distributing correctly the forces on each
             limb. The lower level, called the "Limb" level, is devoted to the
             control of each limb according to the desired position and force
             trajectories given by the Coordinator level. The chosen
             trajectories are derived from biomechanical results, and a
             dynamic model that takes into account mechanical and pneumatic
             effects is presented. We propose to deal with the setting and the
             raising phases, using a continuous nonlinear joint impedance
             controller. The asymptotic stability is ensured by using Popov
             criteria. Simulation results of this new controller are
             presented, leading to a good behavior of the leg during the two
             phases at relatively high velocities.},
  KEYWORDS = {robotics, biped locomotion}
}

@ARTICLE{GrassoR98,
  AUTHOR = {R. Grasso and C. Assaiante and P. Prevost and A. Berthoz},
  YEAR = 1998,
  TITLE = {Development of anticipatory orienting strategies during locomotor
          tasks in children},
  JOURNAL = {Neuroscience and Biobehavioral Reviews},
  VOLUME = 22,
  NUMBER = 4,
  PAGES = {533--539},
  ABSTRACT = {Some basic problems related to the development of goal-directed
             locomotion in humans are reviewed here. A preliminary study is
             presented which was aimed at investigating the emergence of
             anticipatory head orienting strategies during goal-directed
             locomotion in children. Eight children ranging from 3.5 to 8
             years had to walk along a 90 degrees right corner trajectory to
             reach a goal, both in light and in darkness. The instantaneous
             orientation in space of the head, trunk, hips and left foot
             antero/posterior axes was computed by means of an ELITE four-TV
             camera, 100 Hz system. The results showed that predictive head
             orienting movements can occur also in the youngest children. The
             head starts to rotate toward the goal before the corner point of
             the trajectory is reached. In children, the head peak rotation
             coincides with the trajectory corner while in adults the peak is
             attained before. In children, the walking speed is largely
             decreased in darkness. The results suggest that feedforward
             control of goal-directed locomotion appears very early in gait
             development and becomes increasingly important afterwards.},
  KEYWORDS = {child locomotion, development}
}

@INPROCEEDINGS{HaseK98,
  AUTHOR = {K. Hase and N. Yamazaki},
  YEAR = 1998,
  TITLE = {Computational Evolution of Human Bipedal Walking by a
          Neuro-Musculo-Skeletal Model},
  BOOKTITLE = {Proceedings of the Third International Symposium on Artificial
              Life and Robotics},
  PAGES = {174--177},
  ANNOTE = {The authors use an interesting design for a simulated biped robot
           inspired by human locomotion. They use a genetic algorithm to show
           that a human-like body could evolve from a chimpanzee-shaped body
           based on a fitness measure that accounts for things like energy
           consumption, muscular fatigue and skeletal load.},
  ABSTRACT = {The acquisition process of bipedal walking in humans was
             simulated using a neuro-musculo-skeletal model and genetic
             algorithms, based on the assumption that the shape of the body
             has been adapted for locomotion. The model was constructed as 10
             two-dimensional rigid links with 26 muscles and 18 neural
             oscillators....},
  KEYWORDS = {robotics, CPG, biped locomotion, GA}
}

@ARTICLE{HemamiH84,
  AUTHOR = {Hooshang Hemami and Yuan F. Zheng},
  YEAR = 1984,
  TITLE = {Dynamics and control of motion on the ground and in the air with
          application to biped robots},
  JOURNAL = {J. of Robotic Systems},
  VOLUME = 1,
  NUMBER = 1,
  PAGES = {101--116}
}

@ARTICLE{HillS99,
  AUTHOR = {Stephen W. Hill and Aftab E. Patla and M. G. Ishac and A. L. Adkin
           and T. J. Supan and D. G. Barth},
  YEAR = 1999,
  TITLE = {Altered kinetic strategy for the control of swing limb elevation
          over obstacles in unilateral below-knee amputee gait},
  JOURNAL = {Journal of Biomechanics},
  VOLUME = 32,
  NUMBER = 5,
  ANNOTE = {The authors show that as obstacle height increases, knee flexion
           on the prosthetic side is increased by using a hip strategy (in
           contrast to the sound side which uses a knee strategy). They
           discuss the exploitation of intersegmental dynamics and conclude
           that amputees adjust their gait to exploit the change in leg
           dynamics. See also Patla & Prentice, Exp. Brain Res. 106:499-504,
           1995; Ghez & Sainburg, Canadian J. of Physiol. Pharm. 73:273, 1995.},
  ABSTRACT = {Our goal was to document the kinetic strategies for obstacle
             avoidance in below-knee amputees. Kinematic data were collected
             as unilateral below-knee traumatic amputees stepped over
             obstacles of various heights in the walking path. Inverse
             dynamics were employed to calculate power profiles and work
             during the limb-elevation and limb-lowering phases. Limb
             elevation was achieved by employing a different strategy of
             intra-limb interaction for elevation of the prosthetic limb than
             for the sound limb, which was similar to that seen in healthy
             adult non-amputees. As obstacle height increased, prosthetic side
             knee flexion was increased by modulating the work done at the
             hip, and not the knee, as seen on the sound side. Although the
             strength of the muscles about the residual knee was preserved,
             the range of motion of that knee had previously been found to be
             somewhat limited. Perhaps more importantly, potential instability
             of the interface between the stump and the prosthetic socket, and
             associated discomfort at the stump could explain the altered
             limb-elevation strategy. Interestingly, the limb-lowering
             strategy seen in the sound limb and in non-amputees already
             features modulation of rotational and translational work at the
             hip: so an alternate strategy was not required. Thus, following a
             major insult to the sensory and neuromuscular system, the CNS is
             able to update the internal model of the locomotor apparatus as
             the individual uses the new limb in a variety of movements, and
             modify control strategies as appropriate.},
  KEYWORDS = {biomech, biped locomotion, adaptation, obstacle avoidance}
}

@INPROCEEDINGS{HuJ98,
  AUTHOR = {Jianjuen Hu and Jerry Pratt and Gill Pratt},
  YEAR = 1998,
  TITLE = {Adaptive Dynamic Control of a Bipedal Walking Robot with Radial
          Basis Function Neural Networks},
  BOOKTITLE = {Proceedings of the {IEEE/RSJ} International Conference on
              Intelligent Robots and Systems},
  PAGES = {400--405},
  PUBLISHER = {IEEE Computer Society},
  ADDRESS = {Piscataway, NJ},
  ANNOTE = {The authors describe a control scheme for bipedal robots. First,
           they use virtual spring-damper components to design a virtual
           controller that achieves things like upright posture and constant
           forward velocity; forces in virtual space are mapped to joint
           torques in physical space. Second, they use a finite state machine
           to represent the switching of the spring-damper components on and
           off. Third, they use RBF networks to capture higher-order
           nonlinearities not accounted for by their basic linear
           (spring-damper) model of the robot dynamics in virtual space. The
           RBF network is updated by an unsupervised learning approach based
           on Lyapunov theory [Sanner and Slotine, IEEE Trans. Neur. Nets
           3(6), 1992].},
  ABSTRACT = {The robustness of bipedal walking can be enhanced by the use of
             adaptive control and learning. This paper describes one such
             approach, Radial Basis Function (RBF) Neural Network Adaptive
             Control (NNAC). The adaptive control mechanism is designed in a
             virtual space utilizing the Virtual Model Control paradigm [3].
             The neural network is parameterized and trained in an
             unsupervised learning mode. There are two advantages to this
             approach. First, the NNAC can identify the unmodelled dynamics of
             the robot and ensure asymptotic system stability in a Lyapunov
             sense. Second, the controller can better accommodate unexpected
             external disturbances. This system's design is described in this
             paper and simulation results are presented.},
  KEYWORDS = {Robotics, Bipedal Locomotion, Control}
}

@ARTICLE{IbidapoObeO95,
  AUTHOR = {O. Ibidapo-Obe and A. B. Alonge and Adedeji Badiru},
  YEAR = 1995,
  TITLE = {On Active Controls for a Biped Mechanism},
  JOURNAL = {Applied Mathematics and Computation},
  VOLUME = 69,
  NUMBER = {2-3},
  PAGES = {159--??}
}

@ARTICLE{ItoS98,
  AUTHOR = {Satoshi Ito and Hideo Yuasa and Zhi-wei Luo and Masami Ito and Dai
           Yanagihara},
  YEAR = 1998,
  TITLE = {A Mathematical Model of Adaptive Behavior In Quadruped Locomotion},
  JOURNAL = {Biological Cybernetics},
  VOLUME = 78,
  PAGES = {337--347},
  ABSTRACT = {Locomotion involves repetitive movementsand is often executed
             unconsciously and automatically.In order to achieve smooth
             locomotion, the coordina-tion of the rhythms of all physical
             parts is important.Neurophysiological studies have revealed that
             basic rhythms are produced in the spinal network called, the
             central pattern generator (CPG), where some neural oscillators
             interact to self-organize coordinated rhythms.We present a model
             of the adaptation of locomotion patterns to a variable
             environment, and attempt to elucidate how the dynamics of
             locomotion pattern generation are adjusted by the environmental
             changes. Recent experimental results indicate that decerebrate
             cats have the ability to learn new gait patterns in a changed
             environment. In those experiments, a decere-brate cat was set on
             a treadmill consisting of three moving belts. This treadmill
             provides a periodic pertur-bation to each limb through variation
             of the speed ofeach belt. When the belt for the left forelimb is
             quickened, the decerebrate cat initially loses interlimb
             coordination and stability, but gradually recovers themand -nally
             walks with a new gait. Based on the abovebiological facts, we
             propose a CPG model whoserhythmic pattern adapts to periodic
             perturbation fromthe variable environment. First, we design the
             oscillatorinteractions to generate a desired rhythmic pattern.In
             our model, oscillator interactions are regardedas the forces that
             generate the desired motion pattern.If the desired pattern has
             already been realized, then theinteractions are equal to zero.
             However, this rhythmicpattern is not reproducible when there is
             an environ-mental change. Also, if we do not adjust the
             rhythmicdynamics, the oscillator interactions will not be
             zero.Therefore, in our adaptation rule, we adjust the mem-orized
             rhythmic pattern so as to minimize the oscillatorinteractions.
             This rule can describe the adaptive behav-ior of decerebrate cats
             well. Finally, we propose amathematical framework of an
             adaptation in rhythmicmotion. Our framework consists of three
             types of dynamics: environmental, rhythmic motion, and
             adap-tation dynamics. We conclude that the time scale
             ofadaptation dynamics should be much larger than that ofrhythmic
             motion dynamics, and the repetition of rhyth-mic motions in a
             stable environment is important for theconvergence of adaptation.},
  KEYWORDS = {biomech, neuro, CPGs, locomotion, robotics}
}

@ARTICLE{JengS96,
  AUTHOR = {S. F. Jeng and K. G. Holt and L. Fetters and C. Certo},
  YEAR = 1996,
  TITLE = {Self-optimization of walking in nondisabled children and children
          with spastic hemiplegic cerebral palsy},
  JOURNAL = {Journal of Motor Behavior},
  VOLUME = 28,
  NUMBER = 1,
  PAGES = {15--27},
  ABSTRACT = {Children voluntarily adopt a frequency and movement pattern for
             walking. The force-driven harmonic oscillator (FDHO) model was
             used in this study for accurate prediction of the preferred
             walking frequency of nondisabled children and children with
             spastic hemiplegic cerebral palsy. Four potential optimality
             criteria with which the preferred walking pattern was forced to
             comply were examined: minimization of physiological costs,
             maximization of mechanical energy conservation, minimization of
             asymmetry in lower limb movements and minimization of variability
             of interlimb and intralimb coordination. Age and gender-matched
             nondisabled children (n = 6) and children with spastic hemiplegic
             cerebral palsy (n = 6) were tested under six frequency conditions
             of walking at a constant speed on a treadmill. For the
             nondisabled children, the results indicated that their preferred
             walking frequency could be accurately predicted by the FDHO
             model. They freely adopted a walking pattern that minimized
             physiological costs, asymmetry, and variability of inter- and
             intralimb coordination. For the children with spastic hemiplegic
             cerebral palsy, the prediction of preferred overground walking
             frequency required that the FDHO model be modified to account for
             muscle mass and leg length discrepancies between limbs and
             increased stiffness. Most of the children achieved the same
             optimality goals as the nondisabled when walking at the preferred
             frequency. However, the children were found to use different
             mechanisms to attain these goals: for example, a steeper increase
             observed in physiological cost at higher frequencies; a lowered
             center of gravity Of the body, which allowed for angular
             symmetry; and greater variability of between-joint coordination
             in the nonaffected limb and less variability in the affected
             limb.},
  KEYWORDS = {child locomotion, optimal control}
}

@ARTICLE{JensenJ94,
  AUTHOR = {Jody L. Jensen and Beverly D. Ulrich and Esther Thelen and Klaus
           Schneider and Ronald F. Zernicke},
  YEAR = 1994,
  TITLE = {Adaptive Dynamics of the Leg Movement Patterns of Human Infants: I.
          The Effects of Posture on Spontaneous Kicking},
  JOURNAL = {Journal of Motor Behavior},
  VOLUME = 26,
  NUMBER = 4,
  PAGES = {303--312},
  ABSTRACT = {This is the first of two articles in which we describe how
             infants adapt their spontanteous leg movements to changes in
             posture or to elicitation of behaviors by a mechanical
             treadmill.... This increased correlation between muscle torques
             at the hip and knee implicates anatomical and energetic
             constraints --- the intrinsic limb dynamics --- in creating
             coordinated limb behavior out of nonspecific muscle activations.},
  KEYWORDS = {Biomech, Child Locomotion, Development}
}

@ARTICLE{JensenJ95,
  AUTHOR = {Jody. L. Jensen and E. Thelen and B. D. Ulrich and K. Schneider
           and R. F. Zernicke},
  YEAR = 1995,
  TITLE = {Adaptive Dynamics of the Leg Movement Patterns of Human Infants.
          {III}. Age-Related Differences in Limb Control},
  JOURNAL = {Journal of Motor Behavior},
  VOLUME = 27,
  NUMBER = 4,
  PAGES = {366--374},
  ABSTRACT = {In this article, the development of the increasingly
             differentiated control of the joints necessary to transform the
             spontaneous leg movements of early infancy into adaptive and
             functional actions is described. The hypothesis-that increasing
             joint control requires the capability for disassociation of joint
             action, the active modulation of joint stiffness, and a
             transition from proximal to distal control of the joints-is
             proposed. Kinematic and kinetic analyses of the vertical kicks of
             infants 2 weeks, 3 months, and 7 months of age (as well as a
             comparative group of adults) indicated increasing joint
             independence as well as phase-dependent dent and joint-dependent
             control modifications. The kicks of the younger infants were
             dominated by a proximal control strategy and minimal adjustments
             of the limb energetics during the flexion and extension phases of
             the kick. By 7 months of age, much larger modulations of the kick
             phases were observed as well as increasing evidence of distal
             control. These results revealed kinematic and kinetic patterns of
             emerging limb control between 2 weeks and 7 months of age.}
}

@ARTICLE{JonicS99,
  AUTHOR = {S. Jonic and T. Jankovic and V. Gajic and D. Popovic},
  YEAR = 1999,
  TITLE = {Three machine learning techniques for automatic determination of
          rules to control locomotion},
  JOURNAL = {{IEEE} Transactions on Biomedical Engineering},
  VOLUME = 46,
  NUMBER = 3,
  PAGES = {300--310},
  ABSTRACT = {Automatic prediction of gait events (e.g., heel contact, flat
             foot, initiation of the swing, etc.) and corresponding profiles
             of the activations of muscles is important for realtime control
             of locomotion. This paper presents three supervised machine
             learning (ML) techniques for prediction of the activation
             patterns of muscles and sensory data, based on the history of
             sensory data, for walking assisted by a functional electrical
             stimulation (FES), Those ML's are: 1) a multilayer perceptron
             with Levenberg-Marquardt modification of backpropagation learning
             algorithm; 2) an adaptive-network-based fuzzy inference system
             (ANFIS); and 3) a combination of an entropy minimization type of
             inductive learning (IL) technique and a radial basis function
             (RBF) type of artificial neural network with orthogonal least
             squares learning algorithm. Here we show the prediction of the
             activation of the knee flexor muscles and the knee joint angle
             for seven consecutive strides based on the history of the knee
             joint angle and the ground reaction forces, The data used for
             training and testing of ML's was obtained from a simulation of
             walking assisted with an FES system [39], The ability of
             generating rules for an FES controller was selected as the most
             important criterion when comparing the ML's. Other criteria such
             as generalization of results, computational complexity, and
             learning rate were also considered, The minimal number of rules
             and the most explicit and comprehensible rules were obtained by
             ANFIS. The best generalization was obtained by the IL and RBF
             network.},
  KEYWORDS = {biomech, AI, EMG, locomotion}
}

@ARTICLE{KeijzerF98,
  AUTHOR = {F. A. Keijzer},
  YEAR = 1998,
  TITLE = {Doing without representations which specify what to do},
  JOURNAL = {Philosophical Psychology},
  VOLUME = 11,
  NUMBER = 3,
  PAGES = {269--302},
  ANNOTE = {author keywords mentioned dynamics and biped locomotion},
  ABSTRACT = {A discussion is going on in cognitive science about the use of
             representations to explain how intelligent behavior is generated.
             In the traditional view, an organism is thought to incorporate
             representations. These provide an internal model that is used by
             the organism to instruct the motor apparatus so that the adaptive
             and anticipatory characteristics of behavior come about.
             So-called interactionists claim that this representational
             specification of behavior raises more problems than it solves. In
             their view, the notion of internal representational models is to
             be dispensed with. Instead, behavior is to be explained as the
             intricate interaction between an embodied organism and the
             specific make up of an environment. The problem with a
             non-representational interactive account is that it has severe
             difficulties with anticipatory, future oriented behavior. The
             present paper extends the interactionist conceptual framework by
             drawing on ideas derived from the study of morphogenesis. This
             extended interactionist framework is based on an analysis of
             anticipatory behavior as a process which involves multiple
             spatio-temporal scales of neural, bodily and environmental
             dynamics. This extended conceptual framework provides the
             outlines for an explanation of anticipatory behavior without
             involving a representational specification of future goal states.}
}

@ARTICLE{KeppleT98,
  AUTHOR = {T. M. Kepple and H. J. Sommer and K. L. Siegel and S. J. Stanhope},
  YEAR = 1998,
  TITLE = {A three-dimensional musculoskeletal database for the lower
          extremities},
  JOURNAL = {Journal of Biomechanics},
  VOLUME = 31,
  NUMBER = 1,
  PAGES = {77--80},
  ANNOTE = {The authors examined the muscle attachments from 52 skeletons.},
  ABSTRACT = {A three-dimensional musculoskeletal database of the lower
             extremities has been developed for use in human musculoskeletal
             models. The locations of idealized muscle attachments on the
             pelvis, both femurs, both tibias and fibulas, and both feet were
             accurately digitized for 52 dried skeletal specimens. The mean
             specimen heights were 177.5 cm (male) and 166.2 cm (female) and
             the mean specimen age at the time of death was 48.8 yr.
             Statistical accumulation and scaling techniques were used to
             generate highly representative normative models, which were
             divided into groups and tested for differences based on gender
             and race. From the test results, the pelvis was divided into a
             male model(RMS = 8.6 mm), a black female model(RMS = 7.0 mm) and
             a white female model (RMS = 7.3 mm). The foot was separated into
             black (RMS = 3.7 mm) and white models (RMS = 3.6 mm). Single

             models were used for the femur (RMS = 6.5 mm) and the
             tibia/fibula (RMS = 3.7). Containing over 12000 anatomical
             landmarks digitized from 52 dried skeletons, this study
             represents an improvement over previous databases by an order of
             magnitude.},
  KEYWORDS = {biomech, anthropometry, leg model}
}

@ARTICLE{KimS98,
  AUTHOR = {Seunghwan Kim and Hyubgtae Kook and Sand Gui Lee and Myung-Han
           Park},
  YEAR = 1998,
  TITLE = {Synchronization and Clustering in a Network of Three Globally
          Coupled Neural Oscillators},
  JOURNAL = {International Journal of Bifurcation and Chaos},
  VOLUME = 8,
  NUMBER = 4,
  PAGES = {731--739},
  ABSTRACT = {Collective dynamics of three globally coupled Hodgkin-Huxley
             neurons with a symmetric synap-tic coupling has been studied as a
             paradigm of one of the simplest but nontrivial example
             ofphysiology-based coupled oscillator networks capable of
             displaying synchrony and clustering.Rich phase dynamics have been
             observed and the phase diagram for various phase states,
             inparticular the synchronized state and clustered states, have
             been constructed by direct numer-ical simulations of the full
             system. We find that the computed phase diagram in the
             synapticparameter space of the reversal potential and the signal
             propagation time delay reveals a richbifurcation structure and
             agrees with one from bifurcation analysis of the reduced phase
             model.Implication of our findings in connection with two-coupled
             neurons and larger neural networksis discussed.},
  KEYWORDS = {NLD, CPG, Neuro}
}

@ARTICLE{KoH96,
  AUTHOR = {Hyeongseok Ko and Norman I. Badler},
  YEAR = 1996,
  TITLE = {Animating Human Locomotion with Inverse Dynamics},
  JOURNAL = {IEEE Computer Graphics and Applications},
  VOLUME = 16,
  NUMBER = 2,
  PAGES = {50--59}
}

@ARTICLE{KojimaN98,
  AUTHOR = {N. Kojima and K. Nakazawa and S. I. Yamamoto and H. Yano},
  YEAR = 1998,
  TITLE = {Phase-dependent electromyographic activity of the lower-limb
          muscles of a patient with clinically complete spinal cord injury
          during orthotic gait},
  JOURNAL = {Experimental Brain Research},
  VOLUME = 120,
  NUMBER = 1,
  PAGES = {139--142},
  ANNOTE = {The authors present EMG data from a paraplegic patient while
           walking with the help of an orthotic device. This device includes a
           rigid exoskeleton with the knee and ankle joints fixed, a pair of
           crutches, and a CO2 powered device to make the sole of the stance
           shoe thicker and that of the swing shoe thinner. The results show
           locomotor EMG patterns despite supraspinal input, although the
           observed patterns are somewhat different from normal EMG. (For
           instance, the tibialis anterior is active during stance.) The
           authors point to several other papers that speculate about the
           interaction between afferent signals and CPGs for generating
           locomotion without suprapinal input: (1) Brooke et al., J.
           Neurophys. 73:102-111, 1995 has a study that illustrates the
           effects of passive stepping movements (i.e., the stretch reflex);
           (2) Harkema et al., J. Neurophys. 77:797-811, 1997 has a study that
           interprets weight loading as an important cue for the spinal cord;
           (3) Calancie et al.,Brain 117:1143-1159, 1994 has a study that
           shows the hip extension modulates a spinal CPG. (Also see Dietz et
           al., Ann. Neurol. 37:574-582, 1995 and Dobkin et al., J. Neurol.
           Rehab. 9:183-190, 1995 for studies on weight unloading and
           treadmill walking.)},
  ABSTRACT = {We examined the lower-limb electromyographic (EMG) activity from
             a patient with clinically complete spinal cord injury during
             orthotic gait. A newly developed gait orthosis was used to obtain
             bipedal locomotion. The surface EMG data during the gait together
             with the biomechanical variables were collected by way of a radio
             EMG system. A cyclic EMG activation pattern corresponding to the
             gait cycles were observed in each of the paralyzed lower-limb
             muscles during the orthotic gait. Although the EMG activation did
             not seem to contribute toward generating the gait, it showed some
             similarities to that of the infant stepping or immature gait.
             These results might be regarded as one of the indirect pieces of
             evidence that suggest the existence of a spinally originating
             motor mechanism underlying human locomotion.},
  KEYWORDS = {biomech, neuro, CPG, locomotion}
}

@ARTICLE{KopellN91,
  AUTHOR = {N. Kopell and G. B. Ermentrout and T. L. Williams},
  YEAR = 1991,
  TITLE = {On Chains of Oscillators Forced at One End},
  JOURNAL = {SIAM Journal on Applied Mathematics},
  VOLUME = 51,
  NUMBER = 5,
  PAGES = {1397--1417}
}

@ARTICLE{LedebtA94,
  AUTHOR = {A. Ledebt and Y. Breniere},
  YEAR = 1994,
  TITLE = {Dynamical Implication of Anatomical and Mechanical Parameters In
          Gait Initiation Process In Children},
  JOURNAL = {Human Movement Science},
  VOLUME = 13,
  NUMBER = 6,
  PAGES = {801--815},
  ABSTRACT = {This study analyses the incidence of anatomical (mass, height,
             inertia) and mechanical (gravity) parameters on the duration of
             gait initiation, from a standing posture, in children. Twenty-one
             children, aged 4, 6 and 8 years, participated in the study.
             Experimental and theoretical values of the duration of gait
             initiation are compared. The experimental data are computed from
             children's gait executed on a force plate. The theoretical data
             are computed by using an inverted-pendulum model. The results
             show that (1) duration of gait initiation is independent of gait
             velocity, as it is in adults; (2) the experimental values are
             very close to the theoretical values. These findings suggest that
             children's biomechanical constants are determining factors for
             initiating movement. It is hypothesized that the capacity to
             combine and adapt properties of the body with dynamics of the
             context is acquired through practice of independent walking.},
  KEYWORDS = {biomech, child locomotion, NLD}
}

@ARTICLE{LedebtA98,
  AUTHOR = {Annick Ledebt and B. Bril and Y. Breniere},
  YEAR = 1998,
  TITLE = {The build-up of anticipatory behaviour - An analysis of the
          development of gait initiation in children},
  JOURNAL = {Experimental Brain Research},
  VOLUME = 120,
  NUMBER = 1,
  PAGES = {9--17},
  ANNOTE = {As summarized in the abstract, the authors looked at COP
           trajectories during gait initiation. They hypothesize that adult
           anticipatory movements --- while not essential for gait yet lead to
           more efficient walking --- are the result of tuning of the
           premature movements observed in children after about one year of
           independent walking. The authors conclude that experience my play a
           large role in motor skill learning in children, in addition to
           neural maturation which is often viewed as the primary factor.},
  ABSTRACT = {This study analyses the anticipatory postural adjustments during
             the gait initiation process in children aged 2.5, 4, 6 and 8
             years. In adults, anticipation during gait initiation includes a
             shift in the centre of foot pressure (CP) both backwards and
             towards the stepping foot. Backward displacement and the duration
             of the anticipation phase covary with the gait progression
             velocity reached by the subject at the end of the first step. In
             the present study, the children walked on a force plate that
             allowed us to calculate the acceleration of the centre of mass
             and the displacements of the CP. The results showed three main
             characteristics of the development of anticipatory behaviour: (1)
             The occurrence of anticipatory displacements of the CP increased
             progressively with age. Systematic backward anticipation was
             found for all children except one of the youngest, whereas the
             lateral displacement was systematically observed later, in the
             6-year group; (2) the amplitude of the spatial parameters showed
             a significant increase with age; (3) contrary to the adult, the
             amplitude of the backward shift did not covary with the
             forthcoming velocity in the youngest groups. This covariation
             became significant at 6 years and remained significant at 8
             years. The results showed that even if anticipatory behaviour was
             present in 2.5-year-old children it is only later that the child
             is able of more accurate tuning of feedforward control, probably
             due to better control of the overall postural adjustments.},
  KEYWORDS = {biomech, child locomotion, development}
}

@ARTICLE{LerouxA99,
  AUTHOR = {Alain Leroux and J. Fung and H. Barbeau},
  YEAR = 1999,
  TITLE = {Adaptation of the walking pattern to uphill walking in normal and
          spinal-cord injured subjects},
  JOURNAL = {Experimental Brain Research},
  VOLUME = 126,
  NUMBER = 3,
  PAGES = {359--368},
  ANNOTE = {The authors observe that patients with incomplete spinal cord
           injuries (SCI) are able to adapt to uphill walking. Normal subjects
           show a progressive decrease in hip, knee, and ankle angles with
           increasing grade, whereas SCI subjects adopt one of several
           possible movement strategies.},
  ABSTRACT = {Lower-limb movements and muscle-activity patterns were assessed
             from seven normal and seven ambulatory subjects with incomplete
             spinal-cord injury (SCI) during level and uphill treadmill
             walking (5, 10 and 15 degrees). Increasing the treadmill grade
             from 0 degrees to 15 degrees induced an increasingly flexed
             posture of the hip, knee and ankle during initial contact in all
             normal subjects, resulting in a larger excursion throughout
             stance. This adaptation process actually began in mid-swing with
             a graded increase in hip flexion and ankle dorsiflexion as well
             as a gradual decrease in knee extension. In SCI subjects, a
             similar trend was found at the hip joint for both swing and
             stance phases, whereas the knee angle showed very limited changes
             and the ankle angle showed large variations with grade throughout
             the walking cycle. A distinct coordination pattern between the
             hip and knee was observed in normal subjects, but not in SCI
             subjects during level walking. The same coordination pattern was
             preserved in all normal subjects and in five of seven SCI
             subjects during uphill walking. The duration of electromyographic
             (EMG) activity of thigh muscles was progressively increased
             during uphill walking, whereas no significant changes occurred in
             leg muscles. In SCI subjects, EMG durations of both thigh and leg
             muscles, which were already active throughout stance during level
             walking, were not significantly affected by uphill walking. The
             peak amplitude of EMG activity of the vastus lateralis, medial
             hamstrings, soleus, medial gastrocnemius and tibialis anterior
             was progressively increased during uphill walking in normal
             subjects. In SCI subjects, the peak amplitude of EMG activity of
             the medial hamstrings was adapted in a similar fashion, whereas
             the vastus lateralis, soleus and medial gastrocnemius showed very
             limited adaptation during uphill walking. We conclude that SCI
             subjects can adapt to uphill treadmill walking within certain
             limits, but they use different strategies to adapt to the
             changing locomotor demands.},
  KEYWORDS = {biomech, locomotion, adaptation, spinal injury}
}

@ARTICLE{LiG99,
  AUTHOR = {G. Li and K. R. Kaufman and E. Chao and H. E. Rubash},
  YEAR = 1999,
  TITLE = {Prediction of antagonistic muscle forces using inverse dynamic
          optimization during flexion extension of the knee},
  JOURNAL = {Journal of Biomechanical Engineering --- Transactions of the
            {ASME}},
  VOLUME = 121,
  NUMBER = 3,
  PAGES = {316--322},
  ABSTRACT = {This paper examined the feasibility of using different
             optimization criteria in inverse dynamic optimization to predict
             antagonistic muscle forces and joint reaction forces during
             isokinetic flexion/extension and isometric extension exercises of
             the knee. Both quadriceps and hamstrings muscle groups were
             included in this study. The knee joint motion included
             flexion/extension, varus/valgus, and internal/external rotations.
             Four linear, nonlinear, and physiological optimization criteria
             were utilized in the optimization procedure. All optimization
             criteria adopted in this paper were shown to be able to predict
             antagonistic muscle contraction during flexion and extension of
             the knee. The predicted muscle forces were compared in temporal
             patterns with EMG activities (averaged data measured from five
             subjects). Joint reaction forces were predicted to be similar
             using all optimization criteria. In comparison with previous
             studies, these results suggested that the kinematic information
             involved in the inverse dynamic optimization plays an important
             role in prediction of the recruitment of antagonistic muscles
             rather than the selection of a particular optimization criterion.
             Therefore, it might be concluded that a properly formulated
             inverse dynamic optimization procedure should describe the knee
             joint rotation in three orthogonal planes.},
  KEYWORDS = {biomech, EMG, optimal control}
}

@ARTICLE{LoebG99,
  AUTHOR = {G. E. Loeb and I. E. Brown and E. J. Cheng},
  YEAR = 1999,
  TITLE = {A hierarchical foundation for models of sensorimotor control},
  JOURNAL = {Experimental Brain Research},
  VOLUME = 126,
  NUMBER = 1,
  PAGES = {1--18},
  ABSTRACT = {Successful performance of a sensorimotor task arises from the
             interaction of descending commands from the brain with the
             intrinsic properties of the lower levels of the sensorimotor
             system, including the dynamic mechanical properties of muscle,
             the natural coordinates of somatosensory receptors, the
             interneuronal circuitry of the spinal cord, and computational
             noise in these elements. Engineering models of biological motor
             control often oversimplify or even ignore these lower levels
             because they appear to complicate an already difficult problem.
             We modeled three highly simplified control systems that reflect
             the essential attributes of the lower levels in three tasks:
             acquiring a target in the face of random torque-pulse
             perturbations, optimizing fusimotor gain for the same
             perturbations, and minimizing postural error versus energy
             consumption during low- versus high-frequency perturbations. The
             emergent properties of the lower levels maintained stability in
             the face of feedback delays, resolved redundancy in over-complete
             systems, and helped to estimate loads and respond to
             perturbations. We suggest a general hierarchical approach to
             modeling sensorimotor systems, which better reflects the real
             control problem faced by the brain, as a first step toward
             identifying the actual neurocomputational steps and their
             anatomical partitioning in the brain.},
  KEYWORDS = {neuro, hierarchical control}
}

@ARTICLE{McFadyenB97,
  AUTHOR = {B. J. McFadyen and H. Carnahan},
  YEAR = 1997,
  TITLE = {Anticipatory locomotor adjustments for accommodating versus
          avoiding level changes in humans},
  JOURNAL = {Experimental Brain Research},
  VOLUME = 114,
  NUMBER = 3,
  PAGES = {500--506},
  ANNOTE = {The authors examine "anticipatory locomotor adjustments" (ALA) for
           human gait under the conditions of avoiding and accommodating to
           changes in terrain height. For avoidance, humans use an active
           knee-flexion strategy (with passive hip flexion), and for
           accommodation, humans use an active hip-flexion strategy (with
           passive knee flexion). In a compound environments involving both
           avoidance and accommodation, a combined strategy is used with
           active flexion at both hip and knee. The authors then argue that
           these strategies arise as a "more effiecient exploitation of
           intersegmental dynamics of the lower limb for foot transport and
           orientation...."},
  ABSTRACT = {The control of locomotion has been studied from various
             perspectives related to the tasks of pattern generation,
             equilibrium control or adaptation to the environment. The last of
             these locomotor components has received comparably less
             attention, specifically pertaining to anticipatory adjustments.
             Continuing the work which has been conducted on both humans and
             cats, the present paper explores the nature of the differences in
             anticipatory locomotor adjustments for obstacle avoidance versus
             the accommodation to level changes. Six subjects walked in six
             different environments including no obstructions, a simple
             obstacle, two different level changes (a platform and stairs),
             and a combination of an obstacle with each respective level
             change. Full dynamic analyses allowed comparison of muscle
             torques as well as muscle power generated and absorbed at the
             lower limb joints across conditions. It was found that the
             previously shown robust lower limb reorganization characterized
             by a knee flexor generation strategy was upheld in all conditions
             when the obstacle was present. Pure level changes involved an
             augmentation of the ongoing hip strategy inherent In normal level
             walking. In the compound environment of obstructed level changes,
             subjects chose to combine an augmentation of hip flexor power
             with a reorganization to active knee flexion. The results are
             discussed from the point of view of general principles of
             mechanical coordination and the exploitation of intersegmental
             dynamics for foot transport.},
  KEYWORDS = {biomech, locomotion, dynamics}
}

@BOOK{McMahonT84,
  AUTHOR = {Thomas A. Mc{M}ahon},
  YEAR = 1984,
  TITLE = {Muscles, Reflexes, and Locomotion},
  PUBLISHER = {Princeton University Press},
  ADDRESS = {Princeton, New Jersey},
  ANNOTE = {This book is a classic that starts with muscle mechanics and
           muscle physiology and moves quicly to modeling and neural control
           of locomotion. The book concludes with an interesting chapter on
           effects of scale.},
  KEYWORDS = {Biomech, Locomotion, Neuro}
}

@ARTICLE{MillerW94,
  AUTHOR = {W. T. Miller},
  YEAR = 1994,
  TITLE = {Real-Time Neural Network Control of a Biped Walking Robot},
  JOURNAL = {IEEE Control Systems},
  VOLUME = 14,
  PAGES = {41--48}
}

@MASTERSTHESIS{MishraS93,
  AUTHOR = {Sanjay Mishra},
  YEAR = 1993,
  TITLE = {Control of Biped Locomotion Using Oscillators},
  NOTE = {Also available as Institute for Systems Research technical report
         MS_93-12.},
  SCHOOL = {University of Maryland},
  KEYWORDS = {biomech, CPGs, locomotion, robotics}
}

@INPROCEEDINGS{MiyakoshiS98,
  AUTHOR = {Seiichi Miyakoshi and Gentaro Taga and Yasuo Kuniyoshi and Akihiko
           Nagakubo},
  YEAR = 1998,
  TITLE = {Three Dimensional Bipedal Stepping Motion Using Neural Oscillators
          --- Towards Humanoid Motion in the Real World},
  BOOKTITLE = {Proceedings of {IEEE/RSJ} International Conference on
              Intelligent Robots and Systems},
  PAGES = {84--89},
  PUBLISHER = {IEEE Computer Society},
  ADDRESS = {Piscataway, NJ},
  ANNOTE = {The authors target problem is "To achieve a robust and adaptive
           behavior while coordinating a redundant high DOF system under the
           strong effect of physical body dynamics". They extend Taga's
           simulation work from 2D to 3D and also simplify the CPG control
           mechanism. CPGs are based on Matsuoka oscillators (Biol. Cybern.
           52:367, 1985). One CPG controls the roll of the pelvis wrt the
           trunk and two other CPGs control the "stamping" motion of the legs.
           The flexor units of each leg CPG excite the hip, knee, and ankle
           flexors of the ipsilateral leg and inhibit the flexor unit for the
           contralateral leg. (There's a similar arrangement for the externsor
           units and extensor muscles.) The authors also use a weak PD
           controller to bias the model into an upright posture. Entrainment
           is achieved with the help of touch sensors on the feet and
           orientation sensors for the thighs that provide feedback to the
           CPG's. The author's devise the CPG coupling so the initial upright
           posture converges to a stable limit cycle.},
  ABSTRACT = {CPG (central pattern generator) and entrainment dynamics
             together form a promising framework for robust and adaptive
             behavior generation for a high degree of freedom system in
             unstructured environment. This paper investigates its possibility
             in the domain of biped robot locomotion....},
  KEYWORDS = {Robotics, Biped Locomotion, CPG, Simulation}
}

@ARTICLE{MiyazakiF80,
  AUTHOR = {Fumio Miyazaki and Suguru Arimoto},
  YEAR = 1980,
  TITLE = {A control theoretic study of dynamical biped locomotion},
  JOURNAL = {J. Dynamic Systems, Meas. and Control, ASME Trans},
  VOLUME = 102,
  PAGES = {233--239}
}

@INPROCEEDINGS{MorimotoJ98,
  AUTHOR = {Jun Morimoto and Kenji Doya},
  YEAR = 1998,
  TITLE = {Reinforcement Learning of Dynamic Motor Sequence: Learning to Stand
          Up},
  BOOKTITLE = {Proceedings of the {IEEE/RSJ} International Conference on
              Intelligent Robots and Systems},
  PAGES = {1721--1726},
  PUBLISHER = {IEEE Computer Society},
  ADDRESS = {Piscataway, NJ},
  ANNOTE = {The authors use an actor-critic architecture and TD learning to
           make a simulated three-link robot stand up. They specify three
           subgoals (joint configurations) that break the overall problem into
           three smaller RL problems. A normalized RBF network serves as the
           function approximator. Actual joint torques are implemented with a
           PD controller based on the actor's target joint angles and
           velocities. The critic supplies the reward as a function of the
           deviation from the subgoal configuration.},
  ABSTRACT = {In this paper, we propose a learning method for implementing
             human-like sequential movements in robots. As an example of
             dynamic sequential movement, we consider the "stand-up" task for
             a two-joint, three-link robot. In contrast to the case of steady
             walking or standing, the desired trajecory for such a transient

             behavior is very difficult to derive....},
  KEYWORDS = {RL, Function Approximation, RBF, Biped Locomotion}
}

@ARTICLE{MullerwilmU93,
  AUTHOR = {U. Mullerwilm},
  YEAR = 1993,
  TITLE = {A Neuron-Like Network With The Ability to Learn Coordinated
          Movement Patterns},
  JOURNAL = {Biological Cybernetics},
  VOLUME = 68,
  NUMBER = 6,
  PAGES = {519--526},
  ABSTRACT = {A model calculation is presented simulating the coordinated
             interaction between the walking legs of a multi-legged animal.
             The neural network consists of separate modules with oscillatory
             capabilities. It has the ability to adjust the necessary
             parameters for producing a coordinated interaction between the
             modules in a self-organizing fashion. Some sort of reinforcement
             comparison learning is used to train the network. It starts
             oscillations in a completely uncoupled state. After about 100
             learning steps, the generation of a stable alternating pattern is
             usually terminated. Then, the network is able to maintain
             synchronization, even when disturbances are applied to single
             agents or to the network as a whole.},
  KEYWORDS = {RL, CPG, locomotion}
}

@ARTICLE{NiggB87,
  AUTHOR = {B. M. Nigg and H. A. Bahlsen and S. M. Lueth and S. Stokes},
  YEAR = 1987,
  TITLE = {The Influence of Running Velocity and Midsole Hardness on External
          Impact Forces in Heel-Toe Running},
  JOURNAL = {Journal of Biomechanics},
  VOLUME = 20,
  NUMBER = 10,
  PAGES = {951--959},
  ANNOTE = {The paper provides some data which suggest that runners tune their
           leg stiffness to match running velocity and compensate for changes
           in midsole stiffness (cf. FerrisD99). Changes in midsole stiffness
           don't influence the external impact forces but do affect the
           internal distribution of those forces. (Softer midsoles reduce
           ligament forces and increase joint forces.)},
  ABSTRACT = {The purpose of this study was to investigate the influence of
             midsole hardness and running velocity on external impact forces
             in heel-toe running.... The result showed that running velocity
             does influence external impact force peaks (linear connection)
             and that midsole hardness does not influence magnitude and
             loading rate of the external vertical impact forces. Changes in
             kinematic and kinetic data can be used to explain this result
             mechanically. However, the neuromuscular control mechanism to
             keep external impact forces constant are not known.},
  KEYWORDS = {Biomech, Locomotion, Leg Stiffness}
}

@ARTICLE{NikolicZ98,
  AUTHOR = {Z. M. Nikolic and D. B. Popovic},
  YEAR = 1998,
  TITLE = {Predicting quadriceps muscle activity during gait with an automatic
          rule determination method},
  JOURNAL = {{IEEE} Transactions on Biomedical Engineering},
  VOLUME = 45,
  NUMBER = 8,
  PAGES = {1081--1085},
  ABSTRACT = {It has been suggested that control using a skill-based expert
             system can be applicable to gait restoration. Rule-based systems
             have several advantages for this application: they generate a
             fast response (they are not computationally intensive) and they
             are easy to comprehend and implement. A major problem with using
             such systems is the inability of users to determine its rules. In
             this study, an automatic method for obtaining the production
             rules from a set of examples is described, The rule base was
             automatically induced from a model which used external sensor
             signals as inputs and electromyogram (EMG) patterns as outputs.
             The method is based on the minimization of entropy. A production
             rule estimated the muscle activity pattern using the sensor
             information. The algorithm was tested using data recorded from
             six able-bodied individuals during ground level walking, with and
             without ankle-foot orthoses. The data show ed that gait
             variability will increase in able-bodied subjects when the motion
             of ankle joints is restricted, thus, providing a good test for
             generalization. The experimental results illustrate performance
             of the production rule that estimates quadriceps muscle group
             activity pattern for ground level walking in able-bodied
             subjects.},
  KEYWORDS = {biomech, AI, EMG, locomotion}
}

@ARTICLE{NishiiJ98,
  AUTHOR = {Jun Nishii},
  YEAR = 1998,
  TITLE = {A Learning Model For Oscillatory Networks},
  JOURNAL = {Neural Networks},
  VOLUME = 11,
  PAGES = {249--257},
  ABSTRACT = {A learning model for coupled oscillators is proposed. The
             proposed learning rule takes a simple form by which the intrinsic
             frequencies ofthe component oscillators and the coupling strength
             between them are changed according to the effects of the input
             signals on the dynamicsof the oscillator. In the learning mode,
             each component oscillator receives a teacher signal of desired
             phase and frequency, and a desiredparameter set for generating
             the desired pattern is acquired by the proposed learning rule. It
             is known that the basic locomotor patterns ofmany living bodies
             are generated by coupled neural oscillators. The proposed
             learning rule could be a learning model used by such
             neuralsystems to acquire an adequate parameter set for generating
             a desired locomotor pattern.},
  KEYWORDS = {biomech, CPGs, locomotion, robotics}
}

@ARTICLE{PaiY99,
  AUTHOR = {Yi-Chung Pai and Kamran Iqbal},
  YEAR = 1999,
  TITLE = {Simulated movement termination for balance recovery: can movement
          strategies be sought to maintain stability in the presence of
          slipping or forced sliding?},
  JOURNAL = {Journal of Biomechanics},
  VOLUME = 32,
  NUMBER = 8,
  PAGES = {779--786},
  ANNOTE = {The authors use simulation and numerical optimization to find
           ranges of horizontal velocity where the subject can maintain the
           COM above the BOS. They found overlap in these ranges for slipping
           and non-slipping conditions. They speculate that adaptation will
           cause subjects to seek the overlap region as a strategy for dealing
           with uncertain surface conditions.},
  ABSTRACT = {Slipping during various kinds of movement often leads to
             potentially dangerous incidents of falling. The purpose of this
             study was to determine whether there was evidence to support the
             theory that movement strategies could be used by individuals to
             regain stability during an episode of slipping and whether forced
             sliding from a moving platform accurately simulated the effect of
             slipping on stability and balance. A single-link-plus-foot
             biomechanical model was used to mathematically simulate base of
             support (BOS) translation and body segment rotation during
             movement termination in sagittal plane. An optimization routine
             was used to determine region of stability [defined at given COM
             locations as the feasible range of horizontal velocities of the
             center of mass (COM) of human subject that can be reduced to zero
             with respect to the BOS while still allowing the COM to traverse
             within the BOS limits]. We found some 30% overlap in the region
             of stability for slipping and non-slipping conditions. This
             finding supports the theory that movement strategies can be
             sought for restoring stability and balance even if slipping
             unexpectedly occurs. We also found that forced sliding produces
             effects on stability that are similar to those of slipping,
             indicated by over 50% overlap in the regions of stability for the
             two conditions. In addition, forced sliding has distinctive
             effects on stability, including a "shift" of the region of
             stability extended beyond the BOS in the direction of sliding.
             These findings may provide quantifiable guidance for balance
             training aimed at reducing fall incidents under uncertain floor
             surface conditions.},
  KEYWORDS = {biomech, biped locomotion, balance, adaptation}
}

@ARTICLE{PandyM88,
  AUTHOR = {Marcus G. Pandy and Necip Berme},
  YEAR = 1988,
  TITLE = {A Numerical Method for Simulating the Dynamics of Human Walking},
  JOURNAL = {Journal of Biomechanics},
  VOLUME = 21,
  NUMBER = 12,
  PAGES = {1043--1051},
  ANNOTE = {This paper describes important background work for any endeavor in
           simulating human gait. The authors present the recursive
           Newton-Euler inverse dynamics algorithm as it applies to
           simulations of human locomotion. (See also the paper by the same
           authors in the current issue.)},
  ABSTRACT = {This paper presents a general method for simulating the movement
             of the lower extremity during human walking. It is based upon two
             separate algorithms: one for single support (am open kinematic
             chain), and the other for the double support phase (a closed-loop
             linkage).... The attractiveness of the method is that it offers a
             compact alternative to manually deriving the equations defining a
             mathematical model for human gait.},
  KEYWORDS = {Biomech, Locomotion, Simulation, Newton-Euler}
}

@INPROCEEDINGS{ParkJ98,
  AUTHOR = {Jong H. Park and Yong K. Rhee},
  YEAR = 1998,
  TITLE = {{ZMP} Trajectory Generation for Reduced Trunk Motions of Biped
          Robots},
  BOOKTITLE = {Proceedings of the {IEEE/RSJ} International Conference on
              Intelligent Robots and Systems},
  PAGES = {90--95},
  PUBLISHER = {IEEE Computer Society},
  ADDRESS = {Piscataway, NJ},
  ANNOTE = {The authors use the ZMP to compute the desired trunk posture given
           a predetermined leg trajectory. (These trajectories are the input
           to a controller.) The novel part is that fuzzy logic is used to
           determine the desired trajectory of the ZMP. The rules are meant to
           capture the idea that the hip and ankle positions play a large role
           in the heel-to-toe movement of the ZMP for humans.},
  ABSTRACT = {Trunk motions are typically used to stabilize the motions of
             biped robots, which can be very large in some leg trajectories.
             This paper proposes a method to reduce the motion range of the
             trunk by generating a desired trajectory of the ZMP [zero-moment
             point]. The trajectory is determined by a fuzzy logic based on
             the leg trajectories that are arbitrarily selected. The resulting
             ZMP trajectory is similar to human's one and the ZMP continuously
             moves forward. The proposed scheme is simulated on a
             7-degree-of-freedom biped robot. Its results indicate that the
             proposed ZMP trajectory increases the stability of the locomotion
             and thus resulting in reduction of motion range of the trunk.},
  KEYWORDS = {Robotics, Biomech, Simulation}
}

@ARTICLE{PrattG00,
  AUTHOR = {G. A. Pratt},
  TITLE = {Legged Robots at MIT: What's New Since Raibert},
  JOURNAL = {IEEE Robotics and Automation Magazine},
  VOLUME = {7},
  NUMBER = {3},
  PAGES = {15--19},
  YEAR = {2000},
  ABSTRACT = {The MIT Leg Lab is best known for the seminal work
                  of Marc Raibert, who showed in the 1980s that
                  robotic running could be accomplished using a few
                  simple, decoupled control laws....  The question
                  was: what to do next?},
  ANNOTE = {The paper gives a nice overview of work at the MIT
                  Leg Lab and describes two basic lines of research:
                  improved actuators and improved walking control
                  algorithms.  Research on actuator design has focused
                  on the series elastic actuator, which improves the
                  characterisitcs of electric motors for natural
                  robotic walking movements.  On the control front,
                  research focused on virtual model control which
                  builds a complex control law out of simple virtual
                  components that have intuitive physical meaning.},
  KEYWORDS = {robotics, actuator, control}
}

@ARTICLE{PrenticeS98,
  AUTHOR = {S. D. Prentice and A. E. Patla and D. A. Stacey},
  YEAR = 1998,
  TITLE = {Simple artificial neural network models can generate basic muscle
          activity patterns for human locomotion at different speeds},
  JOURNAL = {Experimental Brain Research},
  VOLUME = 123,
  NUMBER = 4,
  PAGES = {474--480},
  ANNOTE = {The authors describe a neural network model for generating EMG
           patterns observed in human walking. The network has two components.
           First, a recurrent network that receives tonic input is responsible
           for generating sine and cosine waveforms with the proper frequency.
           These waveforms are then shaped by a second feedforward network to
           give the actual EMG patterns for specific muscles. No
           speed-dependent patterns are possible without a fundamental change
           to this model, although the model does illustrate an interesting
           decomposition of CPGs into a self-sustaining oscillatory component
           and a shaping component.},
  ABSTRACT = {A neural network model has been developed to represent the
             shaping function of a central pattern generator (CPG) for human
             locomotion. The model was based on cadence and electromyographic
             data obtained from a single human subject who walked on a
             treadmill. The only input to the model was the fundamental timing
             of the gait cycle (stride rate) in the form of sine and cosine
             waveforms whose period was equal to the stride duration. These
             simple signals were then shaped into the respective muscle
             activation patterns of eight muscles of the lower limb and trunk.
             A network with a relatively small number of hidden units trained
             with back-propagation was able to produce an excellent
             representation of both the amplitude and timing characteristics
             of the EMGs over a range of walking speeds. The results are
             further discussed with respect to the dependence of some muscles
             upon sensory feedback anti other inputs not explicitly presented
             to the model.},
  KEYWORDS = {biomech, CPG, biped locomotion, EMG}
}

@ARTICLE{ProkopT95,
  AUTHOR = {T. Prokop and W. Berger and W. Zijlstra and V. Dietz},
  YEAR = 1995,
  TITLE = {Adaptational and Learning-Processes During Human Split-Belt
          Locomotion --- Interaction Between Central Mechanisms and Afferent
          Input},
  JOURNAL = {Experimental Brain Research},
  VOLUME = 106,
  NUMBER = 3,
  PAGES = {449--456},
  ANNOTE = {This paper illustrates that humans can adapt to walking where the
           legs move at different speeds. The learning effect persists to
           later trials but does not transfer to the mirrored condition. The
           authors view these results as evidence for separate leg CPGs with
           relatively little learning by the cerebellum (in contrast to
           previous research on uppper limb coordination).},
  ABSTRACT = {Split-belt locomotion (i.e., walking with unequal leg speeds)
             requires a rapid adaptation of biomechanical parameters and
             therefore of leg muscle electromyographic (EMG) activity. This
             adaptational process during the first strides of asymmetric gait
             as well as learning effects induced by repetition were studied in
             11 healthy volunteers. Subjects were switched from slow (0.5 m/s)
             symmetric gait to split-belt locomotion with speeds of 0.5 m/s
             and 1.5 m/s, respectively. All subjects were observed to adapt in
             a similar way: (1) during the first trial, adaptation required
             about 12-15 strides. This was achieved by an increase in stride
             cycle duration, i.e., an increase in swing duration on the fast
             side and an increase in support duration on the slow side. (2)
             Adaptation of leg extensor and flexor EMG activity paralleled the
             changes of biomechanical parameters. During the first strides,
             muscle activity was enhanced with no increase in coactivity of
             antagonistic leg muscles. (3) A motor learning effect was seen
             when the same paradigm was repeated a few minutes later -
             interrupted by symmetric locomotion - as adaptation to the
             split-belt speeds was achieved within 1-3 strides. (4) This
             short-time learning effect did not occur in the ''mirror''
             condition when the slow and fast sides were inverted. In this
             case adaptation again required 12-15 strides. A close link
             between central and proprioceptive mechanisms of interlimb
             coordination is suggested to underlie the adaptational processes
             during split-belt conditions. It can be assumed that, as in
             quadrupedal locomotion of the cat, human bipedal locomotion
             involves separate locomotor generators to provide the flexibility
             demanded. The present results suggest that side-specific
             proprioceptive information regarding the dynamics of the movement
             is necessary to adjust the centrally generated locomotor activity
             for both legs to the actual needs for controlled locomotion.
             Although the required pattern is quickly learned, this learning
             effect cannot be transferred to the contralateral side.},
  KEYWORDS = {biomech, neuro, CPG, locomotion}
}

@INPROCEEDINGS{RostamiM,
  AUTHOR = {M. Rostami and G. Bessonnet},
  YEAR = 1998,
  TITLE = {Impactless Sagittal Gait of a Biped Robot During the Single Support
          Phase},
  BOOKTITLE = {Proceedings of the {IEEE} International Conference on Robotics
              and Automation ({ICRA}-98)},
  PAGES = {1385--1391},
  PUBLISHER = {IEEE Computer Society},
  ADDRESS = {Piscataway}
}

@ARTICLE{SalatianA97,
  AUTHOR = {A. W. Salatian and K. Y. Yi and Y. F. Zheng},
  YEAR = 1997,
  TITLE = {Reinforcement learning for a biped robot to climb sloping surfaces},
  JOURNAL = {Journal of Robotic Systems},
  VOLUME = 14,
  NUMBER = 4,
  PAGES = {283--296},
  ABSTRACT = {A neural network mechanism is proposed to modify the gait of a
             biped robot that walks on sloping surfaces using sensory inputs.
             The robot climbs a sloping surface from a level surface with no
             priori knowledge of the inclination of the surface. By training
             the neural network while the robot is walking, the robot adjusts
             its gait and finally forms a gait that is as stable as when it
             walks on the level surface. The neural network is trained by a
             reinforcement learning mechanism while proportional and integral
             (PI) control is used for position control of the robot joints.
             Experiments of static and pseudo dynamic learning are performed
             to show the validity of the proposed reinforcement learning
             mechanism.},
  KEYWORDS = {robotics, biped locomotion, RL}
}

@ARTICLE{Sardain98,
  AUTHOR = {P. Sardain and H. Rostami and G. Bessonnet},
  YEAR = 1998,
  TITLE = {An anthropomorphic biped robot: Dynamic concepts and technological
          design},
  JOURNAL = {{IEEE} Transactions on Systems Man and Cybernetics Part {A}},
  VOLUME = 28,
  NUMBER = 6,
  PAGES = {823--838},
  ABSTRACT = {The authors of this study are a part of a joint project,
             involving four French laboratories, whose goal is the design and
             construction of a mechanical biped robot with anthropomorphic
             characteristics. Motivations for this project, named BIP, are
             addressed in [7], In the first section of this paper, we will
             examine mechanical architectures of some representatives of
             state-of-the art biped robots by focusing on their kinematic
             arrangement. It is widely known that the existence of natural
             gaits is close