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The mechanics of multi-joint posture and movement control. (English) Zbl 0599.73101
The dependence of muscle force on muscle length gives rise to a ”spring- like” behavior which has been shown to play a role in the execution of single-joint posture and movement. This paper extends this concept and considers the influence of the apparent mechanical behavior of the neural, muscular and skeletal system on the control and coordination of multiple degree of freedom posture and movement.

MSC:
74L15 Biomechanical solid mechanics
70Q05 Control of mechanical systems
92Cxx Physiological, cellular and medical topics
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[1] Abend, W., Bizzi, E., Morasso, P.: Human arm trajectory formation. Brain 105, 331-348 (1982)
[2] Agarwal, G.C., Gottlieb, G.L.: Compliance of the human ankle joint. J. Biomech. Eng. 99, 166-170 (1977)
[3] Andrews, J.R., Hogan, N.: Impedance control as a framework for implementing obstacle avoidance in a manipulator. In: Control of manufacturing processes and robotic systems. pp. 243-251. Hardt, D.E., Book, W.J., eds. New York: American Society of Mechanical Engineers 1983
[4] Bernstein, N.A.: The co-ordination and regulation of movements. New York: Pergamon Press 1967
[5] Bigland, B., Lippold, O.C.J.: The relation between force, velocity and integrated electrical activity in human muscles. J. Physiol. 123, 214-224 (1954)
[6] Bizzi, E., Polit, A., Morasso, P.: Mechanisms underlying achievement of final head position. J. Neurophysiol. 39, 435-444 (1976)
[7] Bizzi, E., Dev, P., Morasso, P., Polit, A.: Effect of load disturbances during centrally initiated movements. J. Neurophysiol. 41, 542-556 (1978)
[8] Bizzi, E., Accornero, N., Chapple, W., Hogan, N.: Processes underlying arm trajectory formation in monkeys. In: Brain mechanisms of perceptual awareness and purposeful behavior. pp. 311-318. Ajmone-Marson, C., Pompieano, O., eds. New York: Raven Press 1981a
[9] Bizzi, E., Accornero, N., Chapple, W., Hogan, N.: Central and peripheral mechanisms in motor control. In: New perspectives in cerebral localization. pp 23-24. Thompson, R.A., Green, J.R., eds. New York: Raven Press 1981b
[10] Bizzi, E., Chapple, W., Hogan, N.: Mechanical properties of muscles: implications for motor control. Trends in Neurosci. 5, No. 11, 395-398 (1982a)
[11] Bizzi, E., Accornero, N., Chapple, W., Hogan, N.: Arm trajectory formation in monkeys. Exp. Brain Res. 46, 139-143 (1982b)
[12] Bizzi, E., Accornero, N., Chapple, W., Hogan, N.: Posture control and trajectory formation during arm movement. J. Neurosci. 4, 2738-2744 (1984)
[13] Cooke, J.D.: Dependence of human arm movements on limb mechanical properties. Brain Res. 165, 366-369 (1979)
[14] Crago, P.E., Houk, J.C., Hasan, Z.: Regulatory actions of the human stretch reflex. J. Neurophysiol. 39, 925-935 (1976)
[15] Crandall, S.H., Karnopp, D.C., Kurtz, E.F., Jr., Pridmore-Brown, D.C.: Dynamics of mechanical and electromechanical systems. New York: McGraw-Hill 1968
[16] Feldman, A.G.: Functional tuning of the nervous system with control of movement or maintenance of a steady posture. III. Mechanographic analysis of the execution by man of the simplest motor tasks. Biophysics 11, 766-775 (1966)
[17] Flash, T., Mussa-Ivaldi, F.A.: Inferring movement and muscle synergies from multi-joint arm posture. Neurosci. Abstr. 10, 635 (1984)
[18] Gordon, A.M., Huxley, A.F., Julian, F.J.: The variation in isometric tension with sarcomere length in vertebrate muscle fibers. J. Physiol. 184, 170-192 (1966)
[19] Hill, A.V.: Heat of shortening and the dynamic constants of muscle. Proc. R. Soc. (London) B 126, 136-195 (1938)
[20] Hoffer, J.A., Andreassen, S.: Regulation of soleus muscle stiffness in premammillary cats: intrinsic and reflex components. J. Neurophysiol. 45, 267-285 (1981)
[21] Hogan, N.: Adaptive stiffness control in human movement. In: 1979 advances in bioengineering. pp. 53-54. Wells, M.K., ed. New York: American Society of Mechanical Engineers 1979
[22] Hogan, N.: Tuning muscle stiffness can simplify control of natural movement. In: 1980 advances in bioengineering. pp. 279-282. Mow, V.C. ed. New York: American Society of Mechanical Engineers 1980a
[23] Hogan, N.: Mechanical impedance control in assitive devices and manipulators. Proc. 1980 Joint Autom. Controls Conf. paper TA 10-B (1980b)
[24] Hogan, N.: Control and coordination of voluntary arm movements. Proc. 1982 Am. Control Conf. 1, 552-558 (1982a)
[25] Hogan, N.: Programmable impedance control of industrial manipulators. pp. 186-191. Proc. Conference on CAD/CAM in Mechanical Engineering. Massachusetts Institute of Technology, Cambridge 1982b
[26] Hogan, N.: Mechanical impedance control in assistive devices and manipulators. In: Robot motion: planning and control. pp. 361-371. Brady, M., Hollerbach, J.M., Johnson, T.L., Lozano-Perez, T., Mason, M.T., eds. Cambridge: MIT Press 1983
[27] Hogan, N.: Adaptive control of mechanical impedance by coactivation of antagonist muscles. IEEE Trans. AC29, 681-690 (1984a) · Zbl 0542.92005
[28] Hogan, N.: Impedance control of industrial robots. Robotics Comput.-Integr. Manuf. 1, 97-113 (1984b)
[29] Hogan, N.: An organising principle for a class of voluntary movements. J. Neurosci. 4, 2745-2754 (1984c)
[30] Hogan, N.: Impedance control: an approach to manipulation. Proc. 1984 Am. Control Conf. 1, 304-313 (1984d)
[31] Hogan, N.: Some computational problems simplified by impedance control. Proc. 1984 ASME Conf. Comput. Eng. 1, 203-209 (1984e)
[32] Hogan, N.: Impedance control: an approach to manipulation. Part I: Theory; Part II: Implementation; Part III: Application. ASME J. Dyn. Sys., Meas. Control 107, 1-24 (1985) · Zbl 0566.93023
[33] Hogan, N., Cotter, S.L.: Cartesian impedance control of a nonlinear manipulator. In: Robotics research and advanced applications. pp. 121-128. Book W.J., ed. New York: American Society of Mechanical Engineers 1982
[34] Hollerbach, J.M.: Computers, brains and the control of movement. Trends Neurosci. 6, 189-192 (1982)
[35] Houk, J.C.: Regulation of stiffness by skeletomotor reflexes. Annu. Rev. Physiol. 41, 99-114 (1979)
[36] Joyce, G., Rack, P.M.H., Westbury, D.R.: The mechanical properties of cat soleus muscle during controlled lengthening and shortening movements. J. Physiol. 204, 461-474 (1969)
[37] Katz, B.: The relation between force and speed in muscular contraction. J. Physiol. 96, 45-64 (1939)
[38] Kelso, J.A.S.: Motor control mechanisms underlying human movement reproduction. J. Exp. Psychol. 3, 529-543 (1977)
[39] Kelso, J.A.S., Holt, K.G.: Exploring a vibratory system analysis of human movement production. J. Neurophysiol. 43, 1183-1196 (1980)
[40] Lanman, J.M.: Movement and the mechanical properties of the intact human elbow joint. Ph.D. Dissertation, Department of Psychology, Massachusetts Institute of Technology 1980
[41] Matthews, P.B.C.: The dependence of tension upon extension in the stretch reflex of the soleus muscle of the decerebrate cat. J. Physiol. 147, 521-546 (1959)
[42] Mussa-Ivaldi, F.A., Hogan, N., Bizzi, E.: Neural and geometric factors subserving arm posture. J. Neurosci. (1984, in press)
[43] Nichols, T.R.: Soleus muscle stiffness and its reflex control. Ph.D. Dissertation, Harvard University 1974
[44] Nichols, T.R., Houk, J.C.: Reflex compensation for variations in the mechanical properties of muscle. Science 181, 182-184 (1973)
[45] Nichols, T.R., Houk, J.C.: Improvement in linearity and regulation of stiffness that results from actions of stretch reflex. J. Neurophysiol. 39, 119-142 (1976)
[46] Paul, R.P.C.: Robot manipulators: mathematics, programming, and control. Cambridge: MIT Press 1981
[47] Paynter, H.M.: Analysis and design of engineering systems. Cambridge: MIT Press 1981 · Zbl 0451.76061
[48] Polit, A., Bizzi, E.: Processes controlling arm movements in monkeys. Science 102, 1235-1237 (1978)
[49] Polit, A., Bizzi, E.: Characteristics of motor programs underlying arm movements in monkeys. J. Neurophysiol. 42, 183-194 (1979)
[50] Rack, P.M.H., Westbury, D.R.: The effects of length and stimulus rate on tension in the isometric cat soleus muscle. J. Physiol. 204, 443-460 (1969)
[51] Rosenberg, R.C., Karnopp, D.C.: Introduction to physical system dynamics. New York: McGraw-Hill 1983
[52] Schmidt, R.A., McGown, C.: Terminal accuracy of unexpectedly loaded rapid movements: evidence for a mass-spring mechanism in programming. J. Motor Behav. 12, 149-161 (1980)
[53] Stiefel, E.L., Scheifele, G.: Linear and regular celestial mechanics. Berlin, Heidelberg, New York: Springer 1971 · Zbl 0226.70005
[54] Vickers, W.H.: A physiologically based model of neuromuscular system dynamics. IEEE Trans. Man Machine Sys. 21-23 (1968)
[55] Wilkie, D.R.: The relation between force and velocity in human muscles. J. Physiol. 110, 249 (1950)
[56] Zahalak, G.I., Heyman, S.J.: A quantitative evaluation of the frequency response characteristics of active human skeletal muscle in vivo. J. Biomech. Eng. 101, 28-37 (1979)
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