The week's pick
Reseach Article
Controlling the Movement of a Human Forearm based on Finite Time Optimal Regulator and Nonlinear Control System
| International Journal of Computer Applications |
| Foundation of Computer Science (FCS), NY, USA |
| Volume 85 - Number 11 |
| Year of Publication: 2014 |
| Authors: Gamal A. Elnashar |
10.5120/14886-3320
|
Gamal A. Elnashar . Controlling the Movement of a Human Forearm based on Finite Time Optimal Regulator and Nonlinear Control System. International Journal of Computer Applications. 85, 11 ( January 2014), 20-27. DOI=10.5120/14886-3320
Abstract
Optimal human forearm trajectories structure was investigated using Optimal Regulator. First, the continuous dynamics of the human forearm were established on the basis of the relation between muscle torque and neural control signal and employed Riccati differential equation to obtain the optimal movement trajectory of the human forearm. The model and control of a human forearm is analyzed. In the advanced control of robotic manipulators, it is important for manipulators to track trajectories in a wide range of work place. If speed and accuracy is required, the control using conventional methods is difficult to realize because of the high nonlinearity of the robot system. In this work; we study the problem of human hand control carrying a mass. The equation of motion and the natural frequency of the forearm for small angular displacement are derived. We develop new methods that use vector fields in the controller construction for a set of nonlinear dynamical systems. The paper deals with compensate of non-linear system which has a similar idea as the method mentioned in linear system. We utilize an optimal regulator and suggest human arm activities under dynamic environments. Humans must pay compensation for loads arising from interaction with the physical environment. We have managed to design a control law for the non-linear arm-mass-system, in such a way that the representation of a closed loop system is affine, controllable, and a closed loop system is asymptotically stable. Throughout any motion, the forearm can be considered a one-link robot manipulator which could be exploited to benefit people with disabilities (missing extremities). An optimal controller calculates the motor command, which minimize the cost function for nonlinear arm dynamics. Therefore, the purpose of our study is to construct a computational model of arm movement. For this purpose, we use an optimal regulator as the model and compare simulated arm movements with actual nonlinear model human movements. In this paper, we present two approaches to human arm modeling: finite time optimal regulator control approach and modern nonlinear control approach. The latter one is formalized using Lie-Derivative based controllers.
References
- Richard F. ff. Weir, 2004 Design of artificial arms and hands for prosthetic applications McGraw-Hill Companies
- Weir, R. F. ff. , Heckathorne, C. W. , and Childress, 2001 D. S. " Cineplasty as a Control Input for Externally Powered Prosthetic Components", Journal of Rehabilitation Research and Development, 38, 4:. 357–363, July/August
- Yeadon, W. H. , and Yeadon, A. W. , 2001 Handbook of Small Electric Motors. McGraw-Hill, New York
- G. F. Franklin, J. D. Powell, and A. Emami-Naeini, 2006 Feedback Control of Dynamic Systems (5th ed. ), Pearson Prentice Hall, Upper Saddle River, NJ
- G. J. Bakker and H. Nijmeijer. 1985 Comments on "Control design for multivariable nonlinear time-varying systems. " International Journal of Control, 41(6):1627–1629,
- N. S. Nise, 2000 Control Systems Engineering (3rd ed. ), Wiley, New York
- K. Ogata, 2004 System Dynamics (4th ed. ), Pearson Prentice Hall, Upper Saddle River, NJ,
- Claudio Altafini, May 2001 Geometric Control Methods for Nonlinear Systems and Robotic Applications Doctoral Thesis, Stockholm
- Singiresu S. Rao , 2011 Mechanical vibrations,. 5th ed. , Prentice Hall Upper Saddle River, NJ
- A. Isidori, 1995 Nonlinear Control Systems, third edition. Springer-Verlag, London,
- Weiwei Li, 2006 "Optimal Control for Biological Movement Systems" Thesis, University of California, San Diego
- Y. Uno, M. Kawato, and R. Suzuki, 1989 "Formation and Control of Optimal Trajectory in Human Multijoint Arm Movement", Biological Cybernetics 61, 89-101 Springer-Verlag
- W. LIy and E. Todorovz , 2007 " Iterative linearization methods for approximately optimal control and estimation of non-linear stochastic system International", International Journal of Control, Vol. 80, No. 9, , 1439–1453
- S. I. Biagiola & J. L. Figueroa, 2011 "Robust model predictive control of Wiener systems" International Journal of Control, Volume 84, Issue 3, , pages 432-444,
- R. Marino and P. Tomei. , 1995 Nonlinear Control Design: Geometric, Adaptive and Robust. , Prentice-Hall Europe, London,
- R. Su. July 1982 On the linear equivalents of nonlinear systems. Systems & Control Letters, 2(1):48–52,
- L. R. Hunt, R. Su, and G. Meyer. January 1983 "Global transformations of nonlinear systems. " IEEE Transactions on Automatic Control, AC-28(1):24–31,
- S. H. ? Zak and C. A. MacCarley. 1986 "State-feedback control of non-linear systems. " International Journal of Control, 43(5):1497–1514,
- D. Bestle and M. Zeitz. 1983 "Canonical form observer design for non-linear time-variable systems" International Journal of Control, 38(2):419–431,
- M. Zeitz. , 1987 "Comments on Comparative study of non-linear state-observation techniques. " International Journal of Control, 46(5):1861–1863
- B. L. Walcott, M. J. Corless, and S. H. Zak. 1987 "Comparative study of non-linear state-observation techniques", International Journal of Control, Vol. 45, No. 6, 2109-2132,
- , D. Bestle and M. Zeitz. , 1983 "Canonical form observer design for non-linear time-variable systems" International Journal of Control, 38(2):419-431,
- A. Mesbaha,, Adrie E. M. Huesmana, Herman J. M. Kramerb, Paul M. J. Van den Hofa , 2011 "A comparison of nonlinear observers for output feedback model-based control of seeded batch crystallization processes", Journal of Process Control 21, 652–666,
- A. Ebrahim, G. Murphy, 2008 "Adaptive backstepping control of an induction motor under time-varying load torque and rotor resistance uncertainty", Int. J. of Automation and Control, 2,4: 401 – 417
- Frank A. Pintara & Narayan Yoganandana , 2002 "Dynamic Bending Tolerance of the Human Forearm", Traffic Injury Prevention, 3( 1): 43-48
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