Adaptive neural control for a class of nonlinearly parametric time-delay systems

IEEE Transactions on Neural Networks

Volumn 16, Issue 3, 2005, Pages 625-635

  Ho, Daniel W C ^a   Li, Junmin ^b   Niu, Yugang ^c  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^b XIDIAN UNIVERSITY   (China)

^c EAST CHINA UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Adaptive neural control; Nonlinear time delay system; Wavelet neural network (WNN)

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; APPROXIMATION THEORY; CLOSED LOOP CONTROL SYSTEMS; CONTROL SYSTEM ANALYSIS; CONTROL SYSTEM SYNTHESIS; DELAY CONTROL SYSTEMS; INTEGRAL EQUATIONS; LYAPUNOV METHODS; MATHEMATICAL MODELS; NONLINEAR CONTROL SYSTEMS; STATE FEEDBACK; SYSTEM STABILITY;

ADAPTIVE NEURAL CONTROL; INTEGRAL TYPE LYAPUNOV-KRASOVSKII FUNCTIONAL; NONLINEAR TIME DELAY SYSTEMS; PARAMETRIC TIME DELAY SYSTEMS; STATE FEEDBACK ADAPTIVE CONTROLLER; WAVELET NEURAL NETWORK (WNN);

NEURAL NETWORKS;

ALGORITHM; ARTICLE; ARTIFICIAL NEURAL NETWORK; COMPUTER SIMULATION; EVALUATION; FEEDBACK SYSTEM; MATHEMATICAL COMPUTING; NONLINEAR SYSTEM; SIGNAL PROCESSING; STATISTICAL MODEL; STATISTICS;

ALGORITHMS; COMPUTER SIMULATION; FEEDBACK; LINEAR MODELS; NEURAL NETWORKS (COMPUTER); NONLINEAR DYNAMICS; NUMERICAL ANALYSIS, COMPUTER-ASSISTED; SIGNAL PROCESSING, COMPUTER-ASSISTED; STOCHASTIC PROCESSES;

EID: 19344376039     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNN.2005.844907     Document Type: Article

References (29)

1. J. Y. Choi and J. A. Farrell, "Adaptive observer backstepping control using neural networks," IEEE Trans. Neural Netw., vol. 12, no. 5, pp. 1103-1112, Sep. 2001.
2. J. Chu and H. Y. Su, "A controller design method for nonlinear systems via staged transformation technique," Int. J. Syst. Sci., vol. 26, no. 11, pp. 2187-2201, 1995.
3. Z. Ding, "Adaptive control of nonlinear systems with unknown virtual control coefficients," Int. J. Adapt. Control Signal Process., vol. 14, no. 5, pp. 505-517, 2000.
4. S. G. Foda and M. S. Mahmoud, "Adaptive stabilization of delay differential systems with unknown uncertainty bounds," Int. J. Control, vol. 71, pp. 259-275, 1998.
5. J. K. Hale and S. M. Verduyn Lunel, Introduction to Functional Differential Equations. New York: Springer-Verlag, 1993, vol. 99. Applied Mathematical Sciences.
6. S. S. Ge, C. C. Hang, T. H. Lee, and T. Zhang, Stable Adaptive Neural Network Control. Norwell, MA: Kluwer, 2001.
7. D. W. C. Ho, P. Zhang, and J. Xu, "Fuzzy wavelet networks for function learning," IEEE Trans. Fuzzy Syst., vol. 9, no. 1, pp. 200-211, Feb. 2001.
8. M. Jankovic, "Control Lyapunov - Razumik hin functions and robust stabilization of time delay systems," IEEE Trans. Autom. Control, vol. 46, no. 7, pp. 1048-1060, Jul. 2001.
9. I. Kanellakopoulos, P. V. Kokotovic, and A. S. Mors, "Systematic design of adaptive controllers for feedback linearisable systems," IEEE Trans. Autom. Control, vol. 36, no 11, pp. 1241-1253, Nov. 1991.
10. M. Krstic, I. Kanellakopulos, and P. V. Kokotovic, Nonlinear and Adaptive Control Design. New York: Wiley, 1995.
11. F. L. Lewis, A. Yesildirek, and K. Liu, "Multilayer neural network robot controller with guaranteed tracking performance," IEEE Trans. Neural Netw., vol. 7, no. 2, pp. 388-398, Mar. 1996.
12. M. S. Mahmoud, Robust Control of Filtering for Time-Delay Systems. New York: Marcel Dekker, 2000.
13. K. S. Narendra and K. Parthasarathy, "Identification and control of dynamic systems using neural networks," IEEE Trans. Neural Netw., vol. 1, no. 1, pp. 1-23, Mar. 1990.
14. S. K. Nguang, "Robust stabilization of a class of time-delay nonlinear systems," IEEE Trans. Autom. Control, vol. 45, no. 4, pp. 756-762, Apr. 2000.
15. S.-L. Niculescu, Delay Effects on Stability: A Robust Control Approach. New York: Springer-Verlag, 2001.
16. Z. Pan and T. Basar, "Adaptive controller design for tracking and disturbance attenuation in parametric-strict-feedback nonlinear systems," IEEE Trans. Autom. Control, vol. 43, no. 8, pp. 1066-1083, Aug. 1998.
17. P. Pepe, "Some results on adaptive tracking for a class of nonlinear timedelay systems," in Proc. 40th IEEE Conf. Decision Control, Orlando, FL, 2001, pp. 997-1002.
18. M. M. Polycarpou, " Stable adaptive neural control strategy for nonlinear systems," IEEE Trans. Autom. Control, vol. 41, no. 3, pp. 447-451, Mar. 1996.
19. M. M. Polycarpou and M. J. Mears, "Stable adaptive tracking of uncertain systems using nonlinearly parametrized on-line approximators," Int. J. Control, Vol. 70, no. 3, pp. 363-384, 1998.
20. S. S. Sastry and A. Isidari, "Adaptive control of linearizable system," IEEE Trans. Autom. Control, vol. 34, no. 11, pp. 1123-1131, Nov. 1989.
21. J. Sjberg, Q. Zhang, L. Ljung, A. Benveniste, B. Delon, P. Y. Glorennec, Hjalmarsson, and A. Ju Ditsky, "Nonlinear black-box modeling in system identification: A unified overview," Automatica, vol. 31, no. 12, pp. 1691-1724, 1995.
22. J. T. Spooner, M. Maggiore, R. Ordóñez, and K. M. Passino, Stable Adaptive Control and Estimation for Nonlinear Systems: Neural and Fuzzy Approximator Techniques. New York: Wiley, 2002.
23. L. X. Wang, Adaptive Fuzzy Systems and Control: Design and Stability Analysis. Englewood Cliffs, NJ: Prentice-Hall, 1994.
24. J. Xu, D. W. C. Ho, and D. Zhou, "Adaptive wavelet networks for nonlinear system identification," in Proc. Amer. Control Conf., vol. 5, 1999, pp. 3472-3473.
25. A. Yesildirek and F. L. Lewis, "Feedback linearization using neural networks," Automatica, vol. 31, pp. 1659-1664, 1995.
26. T. Zhang, S. S. Ge, and C. C. Hang, "Design and performance analysis of a direct adaptive controller for nonlinear systems," Automatica, vol. 35, pp. 1809-1817, 1999.
27. T. Zhang, S. S. Ge, and C. C. Hang, "Adaptive neural network control for strict-feedback nonlinear systems using backstepping design," Automatica, vol. 36, no. 12, pp. 1835-1846, 2000.
28. S. S. Ge, F. Hong, and T. H. Lee, "Adaptive neural network control of nonlinear systems with unknown time delays," IEEE Trans. Autom. Control, vol. 48, no. 11, pp. 2004-2010, Nov. 2003.
29. S. S. Ge, C. C. Hang, T. H. Lee, and T. Zhang, Stable Adaptive Neural Network Control Design. Norwell, MA: Kluwer, 2002.