Adaptive tracking strategy for a class of nonlinear systems

IEEE Transactions on Automatic Control

Volumn 43, Issue 9, 1998, Pages 1272-1279

  Hotzel, Richard ^a   Karsenti, Laurent ^a  

^a UNIV PARIS SUD   (France)

Author keywords

Adaptive tracking; Backstepping design; Nonlinear parameterization; Nonlinear systems

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; CONTROL SYSTEM SYNTHESIS; FEEDBACK; LYAPUNOV METHODS; TIME VARYING CONTROL SYSTEMS;

ADAPTIVE FEEDBACK TRACKING; BACKSTEPPING DESIGNS; SINGLE INPUT SINGLE OUTPUT (SISO) SYSTEMS;

NONLINEAR CONTROL SYSTEMS;

EID: 0032163649     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.718616     Document Type: Article

References (16)

1. B. Egardt, Stability of Adaptive Controllers. New York: Springer, 1979.
2. R. A. Freeman, M. Krstić, and P. V. Kokotović, "Robustness of adaptive nonlinear control to bounded uncertainties," in Proc. IFAC World Congr., San Francisco, CA, 1996, vol. F, pp. 329-334.
3. Z. P. Jiang and I. M. Y. Mareels, "Robust control of time-varying nonlinear cascaded systems with dynamic uncertainties," in Proc. ECC, Rome, Italy, 1995, pp. 659-664.
4. I. Kanellakopoulos, P. V. Kokotović, and S. Morse, "Systematic design of adaptive controllers for feedback linearizable systems," IEEE Trans. Automat. Contr., vol. 36, pp. 1241-1253, Nov. 1991.
5. I. Kanellakopoulos, P. V. Kokotović, and R. Marino, "An extended direct scheme for robust adaptive nonlinear control," Automatica, vol. 27, no. 2, pp. 247-255, 1991.
6. L. Karsenti and G. Bastin, "Nonlinear sliding adaptive control of cascaded reactions in stirred tank reactors," in J. Process Contr., to be published.
7. L. Karsenti, F. Lamnabhi-Lagarrigue, and G. Bastin, "Backstepping technique extended to nonlinear parameterization," Syst. Contr. Lett., vol. 27, pp. 87-97, 1996.
8. M. Krstić, I. Kanellakopoulos, and P. V. Kokotović, "Adaptive nonlinear control without overparameterization," Syst. Contr. Lett., vol. 19, pp. 177-185, 1992.
9. _, Nonlinear and Adaptive Control Design. New York: Wiley, 1995.
10. R. Marino and P. Tomei, "Global adaptive output-feedback control of nonlinear systems, Part II: Nonlinear parameterization," IEEE Trans. Automat. Contr., vol. 38, pp. 33-48, Jan. 1993.
11. _, "Robust stabilization of feedback linearizable time-varying uncertain nonlinear systems," Automatica, vol. 29, no. 1, pp. 181-189, 1993.
12. H. Nijmeijer and G. Campion, "Feedback linearization of parametrized nonlinear time-varying systems," in Proc. ECC, Groningen, The Netherlands, 1993, pp. 31-36.
13. L. Praly, G. Bastin, J. B. Pomet, and Z. P. Jiang, "Adaptive stabilization of nonlinear systems," in Foundations of Adaptive Control, P. V. Kokotović, Ed. Berlin, Germany: Springer, 1991, pp. 347-433.
14. Z. Qu, " Robust control of nonlinear uncertain systems under generalized matching conditions," Automatica, vol. 29, no. 4, pp. 985-998, 1993.
15. S. Sastry and A. Isidori, "Adaptive control of linearizable systems," IEEE Trans. Automat. Contr., vol. 34, pp. 1123-1131, 1989.
16. D. G. Taylor, P. V. Kokotović, R. Marino, and I. Kanellakopoulos, "Adaptive regulation of nonlinear systems with unmodeled dynamics," IEEE Trans. Automat. Contr., vol. 34, pp. 405-412, Apr. 1989.