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Multiple Muscle Systems pp 149–164Cite as

Mechanical Impedance of Single- and Multi-Articular Systems

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Abstract

The goal of this chapter is to consider some of the consequences of the dynamic interactions due to the transmission of power within the musculoskeletal system and between it and its environment. Power transmission embodies a two-way or bi-causal interaction which may be characterized by mechanical impedance. Some theoretical considerations in modeling and analyzing mechanical impedances will be reviewed. Some properties of the mechanical impedance of the neuro-muscular system and their implications for organizing and executing motor behavior will be surveyed.

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References

  • Abul-Haj, C. J. (1989) Experimental Evaluation of Control Systems for Cybernetic Elbow Prostheses. In: Issues in the Modeling and Control of Biomechanical Systems, J..L. Stein, J. A. Ashton- Miller and M. G. Pandy, eds. ASME, pp. 89–99.

    Google Scholar 

  • Akazawa, K., and T. E. Milner (1981) Modulation of the Stretch Reflex in Human Finger Muscle. Proc. Conf. Vocal Fold Physiology, Wisconsin.

    Google Scholar 

  • Antonsson, E. K. and R. W. Mann (1985) The Frequency Content of Gait. J. Biomech. 18: 39–49.

    Article  CAS  PubMed  Google Scholar 

  • Asada, H. and J-J. E. Slotine (1986) Robot Analysis and Control, Wiley, New York

    Google Scholar 

  • Billian, C. and Zahalak, G. I. (1983) A Programmable Limb Testing System (and some Measurements of Intrinsic Muscular and Reflex-Mediated Stiffnesses. J. Biomech. Eng. 105: ??

    Google Scholar 

  • Bizzi, E., N. Accomero, W. Chappie and N. Hogan (1984) Posture Control and Trajectory Formation During Arm Movement. J. Neurosci. 4: 2738–2744.

    CAS  PubMed  Google Scholar 

  • Colgate, J. E. and Hogan, N. (1987) Robust Control of Manipulator Interactive Behavior. In: Modeling and Control of Robotic Manipulators and Manufacturing Processes, eds. R. Shoureshi, K. Youcef-Toumi and H. Kazerooni, ASME, pp. 149–159.

    Google Scholar 

  • Colgate, J.E., and Hogan, N., (1988) Robust Control of Dynamically Interacting Systems. Int. J. Contr. 48: 65–88.

    Article  Google Scholar 

  • Crago, P. E., J. C. Houk and Z. Hasan (1976) Regulatory Actions of the Human Stretch Reflex. J. Neurophysiol. 39: 925–935.

    CAS  PubMed  Google Scholar 

  • Dufresne, J. R., J. F. Soechting and C. A. Terzuolo (1978) Electro-myographic Response to Pseudorandom Torque Disturbances of Human Forearm Position. Neurosci. 3: 1213–1226.

    Article  CAS  Google Scholar 

  • Dufresne, J. R., J. F. Soechting and C. A. Terzuolo (1980) Modulation of the Myotatic Reflex Gain in Man During Intentional Movements. Brain Res. 193: 67–84.

    Article  CAS  PubMed  Google Scholar 

  • Eccles, J.C., Eccles, R.M. and Lundberg, A. (1957a) The convergence of monosynaptic excitatory afferents on to many different species of alpha motoneurons. J. Physiol. (Lond.) 137: 22–50.

    CAS  Google Scholar 

  • Eccles, J.C., Eccles, R.M. and Lundberg, A. (1957b) Synaptic actions on motoneurones caused by impulses in golgi tendon organ afferents. J. Physiol. (Lond.) 138: 227–252.

    CAS  Google Scholar 

  • Eccles, R.M. and Lundberg, A. (1958) Integrative pattern of la synaptic actions on motoneurones of hip and knee muscles. J. Physiol. (Lond.) 144: 271–298.

    CAS  Google Scholar 

  • Evarts, E. V. and J. Tanji (1974) Gating of Motor Cortex Reflexes by Prior Instruction. Brain Res. 71: 479–494.

    Article  CAS  PubMed  Google Scholar 

  • Gottlieb, G. L. and G. C. Agarwal (1978) Dependence of Human Ankle Compliance on Joint Angle. J. Biomech. 11: 177–181.

    Article  CAS  PubMed  Google Scholar 

  • Grillner, S. (1972) The Role of Muscle Stiffness in Meeting the Changing Postural and Locomotor Requirements for Force Development by the Ankle Extensors. Acta Physiol. Scand. 86: 92–108.

    Article  CAS  PubMed  Google Scholar 

  • Hammond, P. H. (1956) The Influence of Prior Instruction to the Subject on an Apparently Involuntary Neuromuscular Response. J. Physiol. (Lond.) 132: 17–18.

    CAS  Google Scholar 

  • Hoffer, J. A. and S. Andreassen (1981) Regulation of Soleus Muscle Stiffness in Premammillary Cats: Intrinsic and Reflex Components. J. Newrophysiol. 45: 267–285.

    CAS  Google Scholar 

  • Hogan, N. (1979) Adaptive Stiffness Control in Human Movement. In: 1979 Advances in Bioengineering, M. K. Wells, ed., pp. 53–54, American Society of Mechanical Engineers, New York.

    Google Scholar 

  • Hogan, N. (1984) Adaptive Control of Mechanical Impedance by Coactivation of Antagonist Muscles. IEEE Trans. Auto. Cora. AC-29: 681–690.

    Google Scholar 

  • Hogan, N. (1985a) Impedance Control: An Approach to Manipulation: Part I - Theory, Part II - Implementation, Part III - Applications. J. Dyn. Syst. Meas. Contr. 107: 1–24.

    Article  Google Scholar 

  • Hogan, N. (1985b) The Mechanics of Multi-Joint Posture and Movement Control. Biol. Cybern. 52: 315–331.

    Article  CAS  PubMed  Google Scholar 

  • Hogan, N. (1986) Multivariate Mechanics of the Neuromuscular System. Proceedings of the 8th Annual Conference of the IEEE Engineering in Medicine and Biology Society, pp. 594–598.

    Google Scholar 

  • Hogan, N. (1987) Stable Execution of Contact Tasks Using Impedance Control. Proceedings of the IEEE Conference on Robotics and Automation, pp. 1047–1054.

    Google Scholar 

  • Hogan, N. (1988a) On the Stability of Manipulators Performing Contact Tasks. IEEE Journal of Robotics and Automation 4: 677–686.

    Article  Google Scholar 

  • Hogan, N. (1988b) Planning and Execution of Multi- Joint Movements. Canadian Journal of Physiology and Pharmacology 66: 508–519.

    Article  CAS  PubMed  Google Scholar 

  • Hongo, T., Jankowska, E. and Lundberg, A. (1969) The rubrospinal trace. II. Facilitation of inter- neuronal transmission in reflex paths to motoneurones. Exp. Brain Res. 7: 365–391.

    CAS  PubMed  Google Scholar 

  • Houk, J. C. (1979) Regulation of Stiffness by Skeletomotor Reflexes. Ann. Rev. Physiol. 41: 99–114.

    Article  CAS  Google Scholar 

  • Humphrey, D. R. and D. J. Reed (1983) Separate Cortical Systems for the Control of Joint Movement and Joint Stiffness: Reciprocal Activation and Coactivation of Antagonist Muscles. Adv. Neurol. 39: 347–372.

    CAS  PubMed  Google Scholar 

  • Hunter, I. W. and R. E. Kearney (1982) Dynamics of Human Ankle Stiffness: Variation with Mean Ankle Torque. J. Biomech. 15: 747–752.

    Article  CAS  PubMed  Google Scholar 

  • Joyce, G., P. M. H. Rack and H. F. Ross (1974) The Force Generated at the Human Elbow Joint in Response to Imposed Sinusoidal Movements of the Forearm. J. Physiol. 240: 351–374.

    CAS  PubMed  Google Scholar 

  • Kazerooni, H. (1987) Robust, Non-Linear Impedance Control for Robot Manipulators. Proceedings of the IEEE Conference on Robotics and Automation, pp. 741–750.

    Google Scholar 

  • Lacquaniti, F. and J. F. Soechting (1983) Changes in Mechanical Impedance and Gain of the Myotatic Response During Transitions Between Two Motor Tasks. Exp. Brain Res. Suppl. 7: 135–139.

    Google Scholar 

  • Lacquaniti, F., F. Licata and J. F. Soechting (1982) The Mechanical Behavior of the Human Forearm in Response to Transient Pertuibations. Biol. Cybern. 44: 35–46.

    Article  CAS  PubMed  Google Scholar 

  • Loeb, G. E. (1984) The Control and Responses of Mammalian Muscle Spindles During Normally Executed Motor Tasks. Exer. Sp. Sci. Rev. 12: 157–204.

    CAS  Google Scholar 

  • Murray, W. R. and Hogan, N. (1988) Co-contraction of antagonist muscles: predictions and observations. Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, 10, 1926–1929.

    Article  Google Scholar 

  • Mussa-Ivaldi, F. A., N. Hogan and E. Bizzi (1985) Neural and Geometric Factors Subserving Arm Posture. J. Neurosci. 5: 2732–2743.

    CAS  PubMed  Google Scholar 

  • Nichols, T. R. and J. C. Houk (1973) Reflex Compensation for Variations in the Mechanical Properties of Muscle. Science 181: 182–184.

    Article  CAS  PubMed  Google Scholar 

  • Nichols, T. R. and J. C. Houk (1976) Improvement in Linearity and Regulation of Stiffness that Results from Actions of Stretch Reflex. J. Neurophysiol. 39: 119–142.

    CAS  PubMed  Google Scholar 

  • Paul, R. P. (1987) Problems and Research Issues Associated with the Hybrid Control of Force and Displacement. Proceedings of the IEEE Conference on Robotics and Automation, pp. 1966–1971.

    Google Scholar 

  • Russell, D. and N. Hogan (1989) How Humans Perform Constrained Motions. In: Issues in the Modeling and Control of Biomechanical Systems, J..L. Stein, J. A. Ashton-Miller and M. G. Pandy, eds. ASME, pp. 13–19.

    Google Scholar 

  • Wyatt, J. L., Chua, L. O., Gannett, J. W., GJcnar, I. C. and Green, D. N. (1981) Energy Concepts in the State-Space Theory of Nonlinear n-Ports: Part I — Passivity. IEEE Transactions on Circuits and Systems CAS-28:48–61.

    Google Scholar 

  • Zahalak, G. I. and S. J. Heyman (1979) A Quantitative Evaluation of the Frequency Response Characteristics of Active Human Skeletal Muscle in vivo. J. Biomech. Eng. 101: 28–39.

    Article  Google Scholar 

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Authors
  1. Neville Hogan
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Editors and Affiliations

  1. College of Engineering and Applied Sciences Department of Chemical, Bio., and Materials Engineering, Arizona State University, 85287-6006, Tempe, Arizona, USA

    Jack M. Winters

  2. Department of Surgery Division of Orthopedics and Rehabilitation, University of California at San Diego School of Medicine, 92093, La Jolla, California, USA

    Savio L-Y. Woo

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© 1990 Springer-Verlag, New York

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Hogan, N. (1990). Mechanical Impedance of Single- and Multi-Articular Systems. In: Winters, J.M., Woo, S.LY. (eds) Multiple Muscle Systems. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9030-5_9

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  • DOI: https://doi.org/10.1007/978-1-4613-9030-5_9

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-9032-9

  • Online ISBN: 978-1-4613-9030-5

  • eBook Packages: Springer Book Archive

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