Robust adaptive neural control for a class of perturbed strict feedback nonlinear systems

IEEE Transactions on Neural Networks

Volumn 13, Issue 6, 2002, Pages 1409-1419

  Ge, Shuzhi Sam ^a   Wang, Jing ^a,b  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b University of Central Florida   (United States)

Author keywords

Backstepping; Neural networks; Robust adaptive control; Uncertain nonlinear systems

Indexed keywords

APPROXIMATION THEORY; CLOSED LOOP CONTROL SYSTEMS; COMPUTER SIMULATION; FEEDBACK CONTROL; NONLINEAR SYSTEMS; ROBUSTNESS (CONTROL SYSTEMS);

FEEDBACK NONLINEAR SYSTEMS;

NEURAL NETWORKS;

EID: 0036857912     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNN.2002.804306     Document Type: Article

References (27)

1. Z. Ding, "Adaptive control of nonlinear systems with unknown virtual control coefficients," Int. J. Adaptive Contr. Signal Processing, vol. 14, pp. 505-517, 2000.
2. S.S. Ge, C.C. Hang, T.H. Lee, and T. Zhang, Stable Adaptive Neural Network Control. Boston, MA: Kluwer, 2002.
3. S.S. Ge, C.C. Hang, and T. Zhang, "A direct method for robust adaptive nonlinear control with guaranteed transient performance," Syst. Contr. Lett., vol. 37, pp. 275-284, 1999.
4. A. Ilchmann, Non-Identifier-Based High-Gain Adaptive Control. New York: Springer-Verlag, 1993.
5. A. Isidori, Nonlinear Control Systems. Berlin, Germany: Springer-Verlag, 1995.
6. Z.P. Jiang and D.J. Hill, "A robust adaptive backstepping scheme for nonlinear systems with unmodeled dynamics," IEEE Trans. Automat. Contr., vol. 44, pp. 1705-1711, Sept. 1999.
7. Z.P. Jiang and L. Praly, "Design of robust adaptive controllers for non-linear systems with dynamic uncertainties," Automatica, vol. 34, pp. 825-840, 1998.
8. J. Kaloust and Z. Qu, "Continuous robust control design for nonlinear uncertain systems without a priori knowledge of control direction," IEEE Trans. Automat. Contr., vol. 40, pp. 276-282, Feb. 1995.
9. I. Kanellakopoulos, P.V. Kokotovic, and R. Marino, "An extended direct scheme for robust adaptive nonlinear control," Automatica, vol. 27, pp. 247-255, 1991.
10. I. Kanellakopoulos, P.V. Kokotovic, and A.S. Morse, "Systematic design of adaptive controllers for feedback linearizable systems," IEEE Trans. Automat. Contr., vol. 36, pp. 1241-1253, July 1991.
11. H.K. Khalil, Nonlinear Systems. New York: MacMillan, 1996.
12. E.B. Kosmatopoulos, M.M. Polycarpou, M.A. Christodoulou, and P.A. Ioannou, "High-order neural network structures for identification of dynamical systems," IEEE Trans. Neural Networks, vol. 6, pp. 422-431, Mar. 1995.
13. M. Krstic, I. Kanellakopoulos, and P.V. Kokotovic, Nonlinear and Adaptive Control Design. New York: Wiley, 1995.
14. B. Martensson, "Remarks on adaptive stabilization of first-order nonlinear systems," Syst. Control Lett., vol. 14, pp. 1-7, 1990.
15. D.R. Mudgett and A.S. Morse, "Adaptive stabilization of linear systems with unknown high frequency gain," IEEE Trans. Automat. Contr., vol. AC-30, pp. 549-554, Feb. 1985.
16. R.D. Nussbaum, "Some remarks on the conjecture in parameter adaptive control," Syst. Contr. Lett., vol. 3, pp. 243-246, 1983.
17. M.M. Plycarpou and P.A. Ioannou, "A robust adaptive nonlinear control design," Automatica, vol. 31, pp. 423-427, 1995.
18. M.M. Plycarpou and M. Mears, "Stable adaptive tracking of uncertain systems using nonlinearly parameterized online approximators," Int. J. Contr., vol. 70, pp. 363-384, 1998.
19. M.M. Polycarpou, "Stable adaptive neural control scheme for nonlinear systems," IEEE Trans. Automat. Contr., vol. 41, pp. 447-451, Feb. 1996.
20. R.M. Sanner and J.E. Slotine, "Gaussian networks for direct adaptive control," IEEE Trans. Neural Networks, vol. 3, pp. 837-863, May 1992.
21. S. Sastry and A. Isidori, "Adaptive control of linearizable systems," IEEE Trans. Automat. Contr., vol. 34, pp. 1123-1131, June 1989.
22. D. Seto, A.M. Annaswamy, and J. Baillieul, "Adaptive control of nonlinear systems with triangular structure," IEEE Trans. Automat. Contr., vol. 39, pp. 1411-1428, Aug. 1994.
23. J.T. Spooner and K.M. Passino, "Stable adaptive control using fuzzy systems and neural networks," IEEE Trans. Fuzzy Syst., vol. 4, pp. 339-359, 1996.
24. L.X. Wang, Adaptive Fuzzy Systems and Control: Design and Analysis. Englewood Cliffs, NJ: Prentice-Hall, 1994.
25. B. Yao and M. Tomizuka, "Adaptive robust control of SISO nonlinear systems in a semi-strict feedback form," Automatica, vol. 33, pp. 893-900, 1997.
26. X. Ye and J. Jiang, "Adaptive nonlinear design without a priori knowledge of control directions," IEEE Trans. Automat. Contr., vol. 43, pp. 1617-1621, Sept. 1998.
27. A. Yesildirek and F.L. Lewis, "Feedback linearization using neural networks," Automatica, vol. 31, pp. 1659-1664, 1995.