Global adaptive control of nonlinearly parametrized systems

In this paper, we consider global adaptive control of nonlinearly parametrized systems in parametric-strict-feedback form. Unlike previous results, we do not require a priori bounds on the unknown parameters, which is as in the linear parametrization case. We also allow unknown parameters to be time-varying provided they are bounded. Our proposed adaptive controller is a switching type controller, in which the controller parameter is tuned in a switching manner via a switching logic. Global stability results of the closed-loop system have been proved.

[1]  B. Barmish,et al.  Adaptive stabilization of linear systems via switching control , 1986, 1986 25th IEEE Conference on Decision and Control.

[2]  I. Kanellakopoulos,et al.  Adaptive nonlinear control without overparametrization , 1992 .

[3]  Anuradha M. Annaswamy,et al.  Adaptation in the presence of a general nonlinear parameterization: an error model approach , 1999, IEEE Trans. Autom. Control..

[4]  A. Annaswamy,et al.  Adaptive control of nonlinearly parametrized systems with a triangular structure , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[5]  Georges Bastin,et al.  Backstepping technique extended to nonlinear parameterization , 1996 .

[6]  Ye Xudong,et al.  Universal λ-tracking for nonlinearly-perturbed systems without restrictions on the relative degree , 1999 .

[7]  G. Bastin,et al.  Adaptive control of nonlinear systems with nonlinear parameterization , 1996 .

[8]  A. Stephen Morse,et al.  Control Using Logic-Based Switching , 1997 .

[9]  Riccardo Marino,et al.  Robust stabilization of feedback linearizable time-varying uncertain nonlinear systems, , 1993, Autom..

[10]  I. Kanellakopoulos,et al.  Systematic Design of Adaptive Controllers for Feedback Linearizable Systems , 1991, 1991 American Control Conference.

[11]  R. Hotzel,et al.  Adaptive tracking strategy for a class of nonlinear systems , 1998, IEEE Trans. Autom. Control..

[12]  Anuradha M. Annaswamy,et al.  Adaptive control of nonlinearly parameterized systems with a triangular structure , 2002, Autom..

[13]  H. Khalil,et al.  Adaptive stabilization of a class of nonlinear systems using high-gain feedback , 1987 .