Nonlinearities enhance parameter convergence in output-feedback systems

IEEE Transactions on Automatic Control

Volumn 43, Issue 2, 1998, Pages 204-222

  Lin, Jung Shan ^a,c   Kanellakopoulos, Ioannis ^b,c  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

^b Department of Civil and Environmental Engineering   (United States)

^c IEEE   (United States)

Author keywords

Adaptive control; Nonlinear systems; Output feedback form; Parameter convergence

Indexed keywords

ADAPTIVE ALGORITHMS; ADAPTIVE CONTROL SYSTEMS; CONVERGENCE OF NUMERICAL METHODS; FEEDBACK; PARAMETER ESTIMATION; VECTORS;

CLOSED LOOP SIGNALS; LINEAR SYSTEMS; OUTPUT FEEDBACK FORM; PARAMETER CONVERGENCE;

NONLINEAR CONTROL SYSTEMS;

EID: 0031996598     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.661068     Document Type: Article

References (31)

1. B. D. O. Anderson, "Exponential stability of linear equations arising in adaptive identification," IEEE Trans. Automat. Contr., vol. 22, pp. 83-88, 1977.
2. K. J. Åström and B. Wittenmark, Adaptive Control, 2 ed. New York: Addison-Wesley, 1995.
3. S. Boyd and S. S. Sastry, "On parameter convergence in adaptive control," Syst. Contr. Lett., vol. 3, pp. 311-319, 1983.
4. _, "Necessary and sufficient conditions for parameter convergence in adaptive control," Automatica, vol. 22, pp. 629-639, 1986.
5. S. Dasgupta, B. D. O. Anderson, and A. C. Tsoi, "Input conditions for continuous time adaptive system problems," in Proc. 22nd IEEE Conf. Decision Contr., San Antonio, TX, 1983, pp. 211-216.
6. S. Dasgupta, M. Gevers, G. Bastin, G. Campion, and L. Chen, "Identifiability of scalar linearly parametrized polynomial systems," in Proc. 9th IFAC Symp. Identification, Budapest, Hungary, 1991, vol. 1, pp. 374-378.
7. S. Dasgupta, Y. Shrivastava, and G. Krenzer, "Persistent excitation in bilinear systems," IEEE Trans. Automat. Contr., vol. 36, pp. 305-313, 1991.
8. M. de Mathelin and M. Bodson, "Frequency domain conditions for parameter convergence in multivariable recursive identification," Automatica, vol. 26, pp. 757-767, 1990.
9. S. T. Glad and L. Ljung, "Model structure identifiability and persistence of excitation," in Proc. 29th IEEE Conf. Decision Control, Honolulu, HI, Dec. 1990, pp. 3236-3240.
10. P. A. Ioannou and J. Sun, Stable and Robust Adaptive Control. Upper Saddle River, NJ: Prentice-Hall, 1996.
11. Z. P. Jiang and L. Praly, "Iterative designs of adaptive controllers for systems with nonlinear integrators," in Proc. 30th IEEE Conf. Decision Contr., Brighton, U.K., Dec. 1991, pp. 2482-2487.
12. R. Johansson, "Parametric models of linear multivariable systems for adaptive control," IEEE Trans. Automat. Contr., vol. 32, pp. 303-313, 1987.
13. I. Kanellakopoulos, P. V. Kokotović, and A. S. Morse, "Systematic design of adaptive controllers for feedback linearizable systems," IEEE Trans. Automat. Contr., vol. 36, pp. 1241-1253, 1991.
14. I. Kanellakopoulos, M. Krstić, and P. V. Kokotović, "K-adaptive control of output-feedback nonlinear systems," in Proc. 32nd IEEE Conf. Decision Contr., San Antonio, TX, 1993, pp. 1061-1066.
15. M. Krstić, I. Kanellakopoulos, and P. V. Kokotović, "Nonlinear design of adaptive controllers for linear systems," IEEE Trans. Automat. Contr., vol. 39, pp. 738-752, 1994.
16. _, Nonlinear and Adaptive Control Design. New York: Wiley, 1995.
17. J.-S. Lin and I. Kanellakopoulos, "Adaptive output-feedback nonlinear control with parameter convergence," in Proc. 1995 Amer. Contr. Conf., Seattle, WA, pp. 3029-3033.
18. L. Ljung, System Identification: Theory for the User. Englewood Cliffs, NJ: Prentice-Hall, 1987.
19. I. Mareels and M. Gevers, "Persistency of excitation criteria for linear, multivariable, time-varying systems," Math. Contr., Signals, Syst., vol. 1, pp. 203-226, 1988.
20. R. Marino and P. Tomei, "Global adaptive output-feedback control of nonlinear systems, Part I: Linear parameterization," IEEE Trans. Automat. Contr., vol. 38, pp. 17-32, 1993.
21. _, "Global adaptive output-feedback control of nonlinear systems, Part II: Nonlinear parameterization," IEEE Trans. Automat. Contr., vol. 38, pp. 33-49, 1993.
22. _, "Robust stabilization of feedback linearizable time-varying uncertain nonlinear systems," Automatica, vol. 29, pp. 181-189, 1993.
23. _, Nonlinear Control Design: Geometric, Adaptive and Robust. London, U.K.: Prentice-Hall Int., 1995.
24. K. S. Narendra and A. M. Annaswamy, "Persistent excitation in adaptive systems," Int. J. Contr., vol. 45, pp. 127-160, 1987.
25. _, Stable Adaptive Systems. Englewood Cliffs, NJ: Prentice-Hall, 1989.
26. J. B. Pomet and L. Praly, "Adaptive nonlinear regulation: Estimation from the Lyapunov equation," IEEE Trans. Automat. Contr., vol. 37, pp. 729-740, 1992.
27. S. Sastry and M. Bodson, Adaptive Control: Stability, Convergence and Robustness. Englewood Cliffs, NJ: Prentice-Hall, 1989.
28. D. Seto, A. M. Annaswamy, and J. Baillieul, "Adaptive control of a class of nonlinear systems with a triangular structure," IEEE Trans. Automat. Contr., vol. 39, pp. 1411-1428, 1994.
29. A. R. Teel, "Error-based adaptive nonlinear control and regions of feasibility," Int. J. Adaptive Contr. Signal Processing, vol. 6, pp. 319-327, 1992.
30. Y. Zhang, P. A. Ioannou, and C.-C. Chien, "Parameter convergence of a class of adaptive controllers," in Proc. 1994 Amer. Contr. Conf., Baltimore, MD, pp. 1248-1252.
31. _, "Parameter convergence of a new class of adaptive controllers," IEEE Trans. Automat. Contr., vol. 41, pp. 1489-1493, 1996.