Adaptive neural control of MIMO nonlinear state time-varying delay systems with unknown dead-zones and gain signs

Automatica

Volumn 43, Issue 6, 2007, Pages 1021-1033

  Zhang, T P ^a,b   Ge, S S ^b  

^a YANGZHOU UNIVERSITY   (China)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Adaptive control; Dead zone; Neural networks; Nonlinear time varying delay systems; Sliding mode control

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; APPROXIMATION THEORY; CLOSED LOOP CONTROL SYSTEMS; COMPUTER SIMULATION; LYAPUNOV FUNCTIONS; SLIDING MODE CONTROL; TIME VARYING NETWORKS;

ADAPTIVE CONTROL; APPROXIMATION ERRORS; NONLINEAR TIME-VARYING DELAY SYSTEMS;

NEURAL NETWORKS;

EID: 34247534859     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2006.12.014     Document Type: Article

References (32)

1. Cho H.Y., and Bai E.W. Convergence results for an adaptive dead zone inverse. International Journal of Adaptive Control and Signal Processing 12 5 (1998) 451-466
2. Ge S.S., Hang C.C., Lee T.H., and Zhang T. Stable adaptive neural network control (2001), Kluwer Academic Publisher, Boston
3. Ge S.S., Hang C.C., and Zhang T. Adaptive neural network control of nonlinear systems by state and output feedback. IEEE Transaction on System, Man, and Cybernetics-Part B: Cybernetics 29 6 (1999) 818-828
4. Ge S.S., Hang C.C., and Zhang T. A direct adaptive controller for dynamic systems with a class of nonlinear parameterizations. Automatica 35 (1999) 741-747
5. Ge S.S., Hong F., and Lee T.H. Adaptive neural network control of nonlinear systems with unknown time delays. IEEE Transactions on Automatic Control 48 11 (2003) 2004-2010
6. Ge S.S., Hong F., and Lee T.H. Adaptive neural control of nonlinear time-delay system with unknown virtual control coefficients. IEEE Transactions on Systems, Man, and Cybernetics-PartB: Cybernetics 34 1 (2004) 499-516
7. Ge S.S., Hong F., and Lee T.H. Robust adaptive control of nonlinear systems with unknown time delays. Automatica 41 (2005) 1181-1190
8. Ge S.S., Zhang T., and Hang C.C. Stable adaptive control for nonlinear multivariable systems with a triangular control structure. IEEE Transactions on Automatic Control 45 6 (2000) 1221-1224
9. Hale J. Theory of functional differential equations. (2nd ed.) (1977), Springer, New York
10. Lee H., and Tomizuka M. Robust adaptive control using a universal approximator for SISO nonlinear systems. IEEE Transactions on Fuzzy Systems 8 1 (2000) 95-106
11. Lewis F.L., Yesildirek A., and Liu K. Multilayer neural network robot controller with guaranteed tracking performance. IEEE Transactions on Neural Networks 7 2 (1996) 388-398
12. Liu P.L., and Su T.J. Robust stability of interval time-delay systems with delay-dependence. Systems and Control Letters 33 4 (1998) 231-239
13. Nguang S.K. Robust stabilization of a class of time-delay nonlinear systems. IEEE Transactions on Automatic Control 45 4 (2000) 756-762
14. Niculescu S.-L. Delay effects on stability: A robust control approach (2001), Springer, London
15. Nussbaum R.D. Some remarks on the conjecture in parameter adaptive control. Systems and Control Letters 3 3 (1983) 243-246
16. Polycarpou M.M., and Mears M.J. Stable adaptive tracking of uncertain systems using nonlinearly parametrized on-line approximators. International Journal of Control 70 3 (1998) 363-384
17. Richard J.P. Time-delay systems: An overview of some recent advances and open problems. Automatica 39 11 (2003) 1667-1694
18. Ryan E.P. A universal adaptive stabilizer for a class of nonlinear systems. Systems and Control Letters 16 3 (1991) 209-218
19. Sanner R.M., and Slotine J.E. Gaussian networks for direct adaptive control. IEEE Transactions on Neural Networks 3 6 (1992) 837-863
20. Selmic R.R., and Lewis F.L. Deadzone compensation in motion control control systems using neural networks. IEEE Transactions on Automatic Control 45 4 (2000) 602-613
21. Shyu K.K., Liu W.J., and Hsu K.C. Design of large-scale time-delayed systems with dead-zone input via variable structure control. Automatica 41 7 (2005) 1239-1246
22. Su C.Y., and Stepanenko Y. Adaptive control of a class of nonlinear systems with fuzzy logic. IEEE Transactions on Fuzzy Systems 2 3 (1994) 285-294
23. Tao G., and Kokotovic P.V. Adaptive sliding control of plants with unknown dead-zone. IEEE Transactions on Automatic Control 39 1 (1994) 59-68
24. Tao G., and Kokotovic P.V. Discrete-time adaptive control of systems with unknown dead-zone. International Journal of Control 61 1 (1995) 1-17
25. Taware A., and Tao G. An adaptive dead-zone inverse controller for systems with sandwiched dead-zones. International Journal of Control 76 8 (2003) 755-769
26. Wang X.S., Hong H., and Su C.Y. Model reference adaptive control of continuous time systems with an unknown dead-zone. IEE Proceedings-Control Theory Applications 150 3 (2003) 261-266
27. Wang X.S., Hong H., and Su C.Y. Robust adaptive control a class of nonlinear systems with an unknown dead-zone. Automatica 40 3 (2004) 407-413
28. Ye X.D., and Jiang J.P. Adaptive nonlinear design without a priori knowledge of control directions. IEEE Transactions on Automatic Control 43 11 (1998) 1617-1621
29. Yesildirek A., and Lewis F.L. Feedback linearization using neural networks. Automatica 31 11 (1995) 1659-1664
30. Zhang T., Ge S.S., and Hang C.C. Stable adaptive control for a class of nonlinear systems using a modified Lyapunov function. IEEE Transactions on Automatic Control 45 1 (2000) 129-132
31. Zhang T.P. Stable adaptive fuzzy sliding mode control of interconnected systems. Fuzzy Sets and Systems 122 1 (2001) 5-19
32. Zhou J., Wen C., and Zhang Y. Adaptive output control of nonlinear systems with uncertain dead-zone nonlinearity. IEEE Transactions on Automatic Control 51 3 (2006) 504-511