Computer Simulation of Human Movemfnts

  • Robert B. McGhee
Part of the International Centre for Mechanical Sciences book series (CISM, volume 263)


While a great deal is known about the physiological aspects of the human neuro-musculo-skeletal system, the precise mechanisms whereby individual joint motions are coordinated by neural networks to achieve purposeful motions are rather poorly understood.1,2 That is, mathematical models capable of explaining the observed behavior of man and higher animals during locomotion and while manipulating objects are in a rather primitive state of development. The author feels that this lack of understanding is due to three primary factors as follows:
  1. 1.

    From a mathematical or engineering point of view, the human musculo-skeletal system involves great dynamical complexity, even when it is idealized to a system of rigid levers with simple torque generators acting at each joint.3,4

  2. 2.

    Even greatly simplified differential equation models for human motion are highly nonlinear and cannot be solved by analytic means. There was therefore little point in deriving such models prior to the introduction of efficient means for their numerical solution in the form of modern digital computers.

  3. 3.

    Although computers capable of solving very complicated equations of motion are now available, measurement techniques necessary for testing such models against physical observations have been inadequate. Instruments and recording systems capable of automatically determining limb segment motions with the necessary precision have begun to appear only very recently.5,6,7



Human Movement Ground Reaction Force Inverted Pendulum Heel Strike Double Support 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. 1.
    McGhee, R.B., Control of legged locomotion systems, Proc. of 18th Joint Automatic Control Conf,, San Francisco, Calif., June, 1977, 205.Google Scholar
  2. 2.
    Herman, R.M., et al., Ed., Neural Control of Locomotion, Plenum Press, New York, 1976.Google Scholar
  3. 3.
    Vukobratovic, M., Legged Locomotion Robots and Anthropomorphic Mechanisms, Research Monograph, Mihalio Pupin Institute, Belgrad, Yugoslavia, 1975.Google Scholar
  4. 4.
    Orin, D.E., McGhee, R.B., Vukobratovic, M., and Hartoch, G., Kinematic And kinetic analysis of open chain linkages utilizing newton-euler methods, Mathematical Biosciences, 43, 1979.Google Scholar
  5. 5.
    Winter, D.A., Greenlaw, R.K., and Hobson, D.A., Television-computer analysis of kinematics of human gait, Computer and Biomed. Res., 5, 498, 1972.CrossRefGoogle Scholar
  6. 6.
    Cheng, I.S., Koozekanani, S.H., and Fatehi, M.T., A simple computer-television interface system for gait analysis, IEEE Trans. on Biomedical Engineering, BME-22, no. 3, 259, 1975.Google Scholar
  7. 7.
    Lindholm, L.E., and Oberg, K.E.T., An Optoelectronic Instrument for Remote On-Line Movement Monitoring, Chalmers University of Technology, Gotenborg, Sweden, 1973.Google Scholar
  8. 8.
    Nashner, L.M., A model describing vestibular detection of body sway motion, Acta Otolaryg, 72, 429, 1971.CrossRefGoogle Scholar
  9. 9.
    Hemami, H., Jaswa, V.C., and McGhee, R.B., Some alternative formulations of manipulator dynamics for computer simulation studies, Proc. of 13th Allerton Conference on Circuit and System Theory, University of Illinois, 1975.Google Scholar
  10. 10.
    Hemamí, H., and Jaswa, V.C., On a three-link model of the dynamics of standing up and sitting down, IEEE Trans. on Systems, Man and Cybernetics, SMC-B, 1978.Google Scholar
  11. 11.
    Khadelwal, B.M., and Frank, A.A., On the dynamics of an elastically coupled multi-body biped locomotion model, Proc. of Z974 JACC, Austin, Texas, 1974.Google Scholar
  12. 12.
    Joos, G., Theoretical Physics, Hafner Publishing Co., New York, 1934.MATHGoogle Scholar
  13. 13.
    Kahn, M.E., and Roth, B., The near minimum-time control of open-loop articulated kinematic chains, Trans. ASME, 93, Series G, 164, 1971.Google Scholar
  14. 14.
    Dillon, S.R., and Hemami, H., Automated equation generation and its application to problems in control, Proc. of Z5th Joint Automatic Control Conf., Austin, Texas, June, 1974.Google Scholar
  15. 15.
    Liegeois, A., Automatic supervisory control of the configuration and behavior of multibody mechanisms, IEEE trans. on Systems, Man, and Cybernetics, SMC-7, No. 12, 868, 1977.Google Scholar
  16. 16.
    Camana, P.C., Hemami, H., and Stockwell, C.W., Determination of feedback for human posture control without physical intervention, Journal of Cybernetics, 7, Issues 3–4, 199, 1977.Google Scholar
  17. 17.
    Robinson, D.J., Stockwell, C.W., and Koozekanani, S., A method for evaluation of vestibular postural control in humans, Proc. of 29th ACEMB, Boston, Mass., November, 1976, 181.Google Scholar
  18. 18.
    Gubina, F., Hemami, H., and McGhee, R.B., On the dynamic stability of biped locomotion, IEEE Trans. on Biomedical Engineering, BME-21, No. 2, 1974.Google Scholar
  19. 19.
    McGhee, R.B. and Kuhner, M.B., On the dynamic stability of legged locomotion systems, Proc. 3rd Int. Symp. External Control of Human Extremities, Dubrovnik, Yugoslavia, 1969, 431.Google Scholar
  20. 20.
    Golliday, C.L., and Hemami, J., Postural stability of the twodegree-of-freedom biped by general linear feedback, Proc. of 15th Joint Automatic Control Conf., Austin, Texas, June, 1974. Also in IEEE Trans. on Automatic Control, AC-21, No. 1, 1976.Google Scholar
  21. 21.
    Sage, A.P., Optimum System Control, Prentice-Hall, Englewood Cliffs, N.J., 1968.Google Scholar
  22. 22.
    Vukobratovic, M. and Juricic, D., Contribution to the synthesis of biped gait, IEEE Trans. on Biomedical Engineering, BME-16, 1969.Google Scholar
  23. 23.
    Golliday, C.L. Jr., and Hemami, H., An approach to analyzing biped locomotion dynamics and designing locomotion controls, IEEE Transactions on Automatic Control, 22, No. 6, 963, 1977.CrossRefGoogle Scholar
  24. 24.
    Hemami, H., and Farnsworth, R.L., Postural and gait stability of a planar five link biped by simulation, IEEE Transactions on Automatic Control, AC-22, No. 3, 452, 1977.Google Scholar
  25. 25.
    McGhee, R.B., Koozekanani, S.H., Gupta, S., and Cheng, I.S., Automatic estimation of joint forces and moments in human locomotion from television data, Proc. of IV IFAC Symposium on Identification and Parameter Estimation, Georgian SSR, USSR, September, 1976.Google Scholar
  26. 26.
    Stepanenko, Yu., and Vukobratovic, M., Dynamics of articulated open-chain active mechanisms, Mathematical Biosciences, 28, no. 1 /2, 137, 1976.MathSciNetGoogle Scholar
  27. 27.
    Gupta, S., Estimation of Lower Limb Joint Forces and Moments Using On-Line Measurements and Computations, M.S. thesis, The Ohio State University, Columbus, Ohio, 1975.Google Scholar
  28. 28.
    Cappozo, A., Leo, T., and Pedotti, A., A General Computing Method for the Analysis of Human Locomotion, Report 73–12, Istituto di Automatica-, University of Rome, 1973.Google Scholar
  29. 29.
    Saunders, J.B., et al.,. The major determinants in normal and pathological gait, Journal Bone and Joint Surgery, 35A, 543, 1953.Google Scholar
  30. 30.
    Morecki, A., et al., Biomechanical modelling of dynamical • properties of human motion, Proc. of IV World Congress on the Theory of Machines and Mechanisms, Vol. IV, Newcastle upon Tyne, England, 1975.Google Scholar
  31. 31.
    Olszewski, J., An Investigation of Human Motion Models Dynamical Conditions, Ph.D. dissertation, Warsaw Polytechnical University, 1977 (in Polish).Google Scholar
  32. 32.
    Vukobratovic, M., Frank. A.A., and Juricic, D., On the stability of biped locomotion, IEEE Transactions on Biomedical Engineering, BME-17, 25, 1970.Google Scholar
  33. 33.
    Gubina, F. Stability and control of certain types of biped locomotion, Proc. of Fourth International Symposium on • External Control of Human Extremities, Dubrovnik, Yugoslavia, August, 1972.Google Scholar
  34. 34.
    Yamashita, T., et al., Control’of macro-model to simulate human level walking, in: On Theory and Practice of Robots and Manipulators, Morecki, A., and Kedzior, K., ed., Polish Scientific Publishers, Warsaw, 1976, 183.Google Scholar
  35. 35.
    McGhee, R.B., Chao, C.S., Jaswa, V.C., and Orin, D.E., Real-time computer control of a hexapod robot, Proc. of ROMANSY-78 Symposium, Udine, Italy, September, 1978.Google Scholar
  36. 36.
    Vukobratovic, M., et al., New control concepts of anthropomorphic manipulators, Mechanism and Machine Theory, 12, No. 6, 515, 1977.CrossRefGoogle Scholar
  37. 37.
    Wittenburg, J., Dynwnics of Systems of Rigid Bodies, B.G. Teubner, Stuttgart, 1977.Google Scholar
  38. 38.
    Hartrum, T.C., Computer implementation of a parametric model for biped locomotion kinematics, Proc. of 2973 Carnahan Conference on Electronic Prostheses Lexington, Ky., September 1973.Google Scholar
  39. 39.
    Hartrum, T.C., Computer Implementation of a Parametric Model for Biped Locomotion, Ph.D. dissertation, The Ohio State University, Columbus, Ohio, 1972.Google Scholar
  40. 40.
    McGhee, R.B., Control needs in prosthetics and orthotics, Proc. of 18th Joint Automatic Control Conf., San Francisco, Calif., June, 1977.Google Scholar

Copyright information

© Springer-Verlag Wien 1980

Authors and Affiliations

  • Robert B. McGhee
    • 1
  1. 1.Ohio State UniversityColumbusUSA

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