Adaptive variable structure control of MIMO nonlinear systems with time-varying delays and unknown dead-zones

International Journal of Automation and Computing

Volumn 6, Issue 2, 2009, Pages 124-136

  Zhang, Tian Ping ^a   Zhou, Cai Ying ^a   Zhu, Qing ^a  

^a YANGZHOU UNIVERSITY   (China)

Author keywords

Adaptive control; Dead zone; Neural networks (NNs); Nonlinear time varying delay systems; Variable structure control

Indexed keywords

ADAPTIVE COMPENSATION TERMS; ADAPTIVE CONTROL; ADAPTIVE CONTROL ALGORITHMS; ADAPTIVE VARIABLE STRUCTURE CONTROLS; ADAPTIVE VARIABLE STRUCTURES; CHATTERING PHENOMENONS; CLOSED-LOOP CONTROLS; DEAD-ZONE; HIGH FREQUENCIES; LINEAR FUNCTIONS; LYAPUNOV-KRASOVSKII FUNCTIONALS; MIMO NONLINEAR SYSTEMS; MULTI-INPUT MULTI-OUTPUT NONLINEAR SYSTEMS; NEURAL CONTROLS; NONLINEAR TIME-VARYING DELAY SYSTEMS; OPTIMAL APPROXIMATION ERRORS; SEMI-GLOBALLY UNIFORMLY ULTIMATELY BOUNDED; SIMULATION RESULTS; TIME-VARYING DELAYS; UNKNOWN TIME-VARYING DELAYS; UPPER BOUNDS;

ADAPTIVE ALGORITHMS; CLOSED LOOP CONTROL SYSTEMS; DC MOTORS; DELAY CONTROL SYSTEMS; DIFFERENTIAL EQUATIONS; ERROR COMPENSATION; LYAPUNOV FUNCTIONS; MULTIPLEXING; NEURAL NETWORKS; NONLINEAR CONTROL SYSTEMS; SPATIAL VARIABLES CONTROL; THREE TERM CONTROL SYSTEMS; TIME VARYING CONTROL SYSTEMS; TIME VARYING NETWORKS; VARIABLE STRUCTURE CONTROL;

ADAPTIVE CONTROL SYSTEMS;

EID: 65449146000     PISSN: 14768186     EISSN: 17518520     Source Type: Journal    
DOI: 10.1007/s11633-009-0124-5     Document Type: Article

References (31)

1. G. Tao P. V. Kokotovic 1994 Adaptive Sliding Control of Plants with Unknown Dead-zone IEEE Transactions on Automatic Control 39 1 59 68
2. G. Tao P. V. Kokotovic 1995 Discrete-time Adaptive Control of Systems with Unknown Dead-zone International Journal of Control 61 1 1 17
3. H. Y. Cho E. W. Bai 1998 Convergence Results for an Adaptive Dead Zone Inverse International Journal of Adaptive Control and Signal Processing 12 5 451 466 (Pubitemid 128607839)
4. A. Taware G. Tao 2003 An Adaptive Dead-zone Inverse Controller for Systems with Sandwiched Dead-zones International Journal of Control 76 8 755 769
5. R. R. Selmic F. L. Lewis 2000 Deadzone Compensation in Motion Control Control Systems Using Neural Networks IEEE Transactions on Automatic Control 45 4 602 613
6. X. S. Wang H. Hong C. Y. Su 2003 Model Reference Adaptive Control of Continuous Time Systems with an Unknown Dead-zone IET Proceedings: Control Theory and Applications 150 3 261 266
7. X. S. Wang C. Y. Su H. Hong 2004 Robust Adaptive Control a Class of Nonlinear Systems with an Unknown Dead-zone Automatica 40 3 407 413
8. J. Zhou C. Y. Wen Y. Zhang 2006 Adaptive Output Control of Nonlinear Systems with Uncertain Dead-zone Nonlinearity IEEE Transactions on Automatic Control 51 3 504 511
9. T. P. Zhang S. S. Ge 2007 Adaptive Neural Control of MIMO Nonlinear State Time-varying Delay Systems with Unknown Dead-zones and Gain Signs Automatica 43 6 1021 1033 (Pubitemid 46653816)
10. P. L. Liu T. J. Su 1998 Robust Stability of Interval Time-delay Systems with Delay-dependence Systems & Control Letters 33 4 231 239 (Pubitemid 128451352)
11. S. L. Niculescu. Delay Effects on Stability: A Robust Control Approach, Springer-Verlag, London, UK, pp. 283-305, 2001.
12. J. P. Richard 2003 Time-delay Systems: An Overview of Some Recent Advances and Open Problems Automatica 39 11 1667 1694
13. S. K. Nguang 2000 Robust Stabilization of a Class of Timedelay Nonlinear Systems IEEE Transactions on Automatic Control 45 4 756 762
14. J. Hale. Theory of Functional Differential Equations, 2nd Edition, Springer-Verlag, New York, USA, pp. 1-100, 1977.
15. C. H. Chou C. C. Cheng 2001 Design of Adaptive Variable Structure Controllers for Perturbed Time-varying State Delay Systems Journal of The Franklin Institute 338 1 35 46
16. K. K. Shyu W. J. Liu K. C. Hsu 2005 Design of Large-scale Time-delayed Systems with Dead-zone Input via Variable Structure Control Automatica 41 7 1239 1246
17. S. S. Ge F. Hong T. H. Lee 2004 Adaptive Neural Control of Nonlinear Time-delay System with Unknown Virtual Control Coefficients IEEE Transactions on Systems, Man, and Cybernetics - Part B: Cybernetics 34 1 499 516
18. S. S. Ge F. Hong T. H. Lee 2005 Robust Adaptive Control of Nonlinear Systems with Unknown Time Delays Automatica 41 7 1181 1190
19. J. Zhou, M. J. Er, K. C. Veluvolu. Adaptive Output Control of Nonlinear Time-delayed Systems with Uncertain Deadzone Input. In Proceedings of the American Control Conference, IEEE Press, Minneapolis, Minnesota, USA, pp. 5312-5317, 2006. (Pubitemid 46531666)
20. F. Hong S. S. Ge T. H. Lee 2005 Practical Adaptive Neural Control of Nonlinear Systems with Unknown Time Delays IEEE Transactions on Systems, Man, and Cybernetics - Part B: Cybernetics 35 4 849 854
21. S. S. Ge F. Hong T. H. Lee 2003 Adaptive Neural Network Control of Nonlinear Systems with Unknown Time Delays IEEE Transactions on Automatic Control 48 11 2004 2010
22. J. Zhou, C. Y. Wen, Y. Zhang. Adaptive Backstepping Control of a Class of Uncertain Nonlinear Systems with Unknown Dead-zone. In Proceedings of IEEE Conference on Robotics, Automation and Mechatronics, Singapore, pp. 513-518, 2004.
23. S. S. Ge C. C. Hang T. Zhang 2000 Stable Adaptive Control for Nonlinear Multivariable Systems with a Triangular Control Structure IEEE Transactions on Automatic Control 45 6 1221 1224 (Pubitemid 30581588)
24. T. P. Zhang 2003 Direct Adaptive Neural Network Control Based on Integral Lyapunov Function Acta Automatica Sinica 29 6 996 1001
25. Y. S. Yang C. J. Zhou 2005 Robust Adaptive Fuzzy Tracking Control for a Class of Perturbed Strict-feedback Nonlinear Systems via Small-gain Approach Information Science 170 2-4 211 234
26. F. L. Lewis A. Yesildirek K. Liu 1996 Multilayer Neural Network Robot Controller with Guaranteed Tracking Performance IEEE Transactions on Neural Networks 7 2 388 398 (Pubitemid 126774431)
27. T. Zhang S. S. Ge C. C. Hang 1999 Design and Performance Analysis of a Direct Adaptive Controller for Nonlinear Systems Automatica 35 11 1809 1817
28. S. S. Ge, C. C. Hang, T. H. Lee, T. Zhang. Stable Adaptive Neural Network Control, Kluwer Academic, Boston, USA, pp. 27-46, 2001.
29. M. M. Polycarpou M. J. Mears 1998 Stable Adaptive Tracking of Uncertain Systems Using Nonlinearly Parametrized On-line Approximators International Journal of Control 70 3 363 384 (Pubitemid 128552923)
30. T. Zhang S. S. Ge C. C. Hang 2000 Stable Adaptive Control for a Class of Nonlinear Systems Using a Modified Lyapunov Function IEEE Transactions on Automatic Control 45 1 129 132 (Pubitemid 30581588)
31. T. P. Zhang 2003 Stable Direct Adaptive Fuzzy Control for a Class of MIMO Nonlinear Systems International Journal of Systems Science 34 6 375 388