Optimal trajectory formation of constrained human arm reaching movements

Abstract.Opening a door, turning a steering wheel, and rotating a coffee mill are typical examples of human movements that are constrained by the physical environment. The constraints decrease the mobility of the human arm and lead to redundancy in the distribution of actuator forces (either joint torques or muscle forces). Due to this actuator redundancy, there is an infinite number of ways to form a specific arm trajectory. However, humans form trajectories in a unique way. How do humans resolve the redundancy of the constrained motions and specify the hand trajectory? To investigate this problem, we examine human arm movements in a crank-rotation task. To explain the trajectory formation in constrained point-to-point motions, we propose a combined criterion minimizing the hand contact force change and the actuating force change over the course of movement. Our experiments show a close matching between predicted and experimental data.

[1]  Neville Hogan,et al.  Dealing with constraints: a biomechanical approach , 1989, Images of the Twenty-First Century. Proceedings of the Annual International Engineering in Medicine and Biology Society,.

[2]  R A Scheidt,et al.  Learning to move amid uncertainty. , 2001, Journal of neurophysiology.

[3]  E. Polak,et al.  Amatlab Toolbox for Solving Optimal Control Problems , 1997 .

[4]  Matthew T. Mason,et al.  Compliance and Force Control for Computer Controlled Manipulators , 1981, IEEE Transactions on Systems, Man, and Cybernetics.

[5]  Hirokazu Mayeda,et al.  Task understanding of the crank turning , 1994, Proceedings of IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS'94).

[6]  N. A. Bernshteĭn The co-ordination and regulation of movements , 1967 .

[7]  Tadashi Kashima,et al.  Trajectory formation based on physiological characteristics of skeletal muscles , 1998, Biological Cybernetics.

[8]  Masaki Yamakita,et al.  Compliance Control Considering a Robot's Manipulability , 1995 .

[9]  Michael I. Jordan,et al.  Are arm trajectories planned in kinematic or dynamic coordinates? An adaptation study , 1995, Experimental Brain Research.

[10]  John T. McConville,et al.  INVESTIGATION OF INERTIAL PROPERTIES OF THE HUMAN BODY , 1975 .

[11]  Michael I. Jordan,et al.  A Model of the Learning of Arm Trajectories from Spatial Deviations , 1994, Journal of Cognitive Neuroscience.

[12]  John Baillieul,et al.  Resolution of kinematic redundancy , 1990 .

[13]  Michael I. Jordan,et al.  A Minimal Intervention Principle for Coordinated Movement , 2002, NIPS.

[14]  M. Kawato,et al.  Formation and control of optimal trajectory in human multijoint arm movement , 1989, Biological Cybernetics.

[15]  H. Gomi,et al.  Task-Dependent Viscoelasticity of Human Multijoint Arm and Its Spatial Characteristics for Interaction with Environments , 1998, The Journal of Neuroscience.

[16]  R. Suzuki,et al.  Minimum Muscle-Tension Change Trajectories Predicted by Using a 17-Muscle Model of the Monkey's Arm. , 1996, Journal of motor behavior.

[17]  P. Morasso Spatial control of arm movements , 2004, Experimental Brain Research.

[18]  M. Kawato,et al.  Trajectory formation of arm movement by cascade neural network model based on minimum torque-change criterion , 1990, Biological Cybernetics.

[19]  Evert-Jan Nijhof,et al.  Simulation of Multijoint Arm Movements , 2000 .

[20]  Vijay R. Kumar,et al.  Continuous methods for motion planning , 1996 .

[21]  Ken Ohta,et al.  Dealing with constraints: Optimal trajectories of the constrained human arm movements , 2003 .

[22]  T. Flash,et al.  The coordination of arm movements: an experimentally confirmed mathematical model , 1985, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[23]  E. Bizzi,et al.  Human arm trajectory formation. , 1982, Brain : a journal of neurology.

[24]  Mitsuo Kawato,et al.  Internal models for motor control and trajectory planning , 1999, Current Opinion in Neurobiology.

[25]  Stephen C. Jacobsen,et al.  Model-Based, Multi-Muscle EMG Control of Upper-Extremity Prostheses , 1990 .

[26]  Reza Shadmehr,et al.  Learning of action through adaptive combination of motor primitives , 2000, Nature.

[27]  Shigeru Kitazawa,et al.  Optimization of goal-directed movements in the cerebellum: a random walk hypothesis , 2002, Neuroscience Research.

[28]  C. Harris On the optimal control of behaviour: a stochastic perspective , 1998, Journal of Neuroscience Methods.

[29]  M. A. Arbib,et al.  A Model of the Effects of Speed, Accuracy, and Perturbation on Visually Guided Reaching , 1992 .

[30]  Neville Hogan,et al.  Optimization principles in motor control , 1998 .

[31]  Mitsuo Kawato,et al.  TRAJECTORY FORMATION IN ARM MOVEMENTS: MINIMIZATION PRINCIPLES AND PROCEDURES , 1996 .

[32]  Toshio Tsuji,et al.  Impedance Regulation in Human Movements During a Rotation Task , 1991, J. Robotics Mechatronics.

[33]  Daniel M. Wolpert,et al.  Signal-dependent noise determines motor planning , 1998, Nature.

[34]  F A Mussa-Ivaldi,et al.  Adaptive representation of dynamics during learning of a motor task , 1994, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[35]  Tadashi Kashima,et al.  Analysis of a muscular control system in human movements , 2000, Biological Cybernetics.

[36]  Michael I. Jordan,et al.  Optimal feedback control as a theory of motor coordination , 2002, Nature Neuroscience.