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

In this paper, robust adaptive control is presented for a class of perturbed strict-feedback nonlinear systems with both completely unknown control coefficients and parametric uncertainties. The proposed design method does not require the a priori knowledge of the signs of the unknown control coefficients. It is proved that the proposed robust adaptive scheme can guarantee the global uniform ultimate boundedness of the closed-loop system signals.

[1]  Achim Ilchmann,et al.  Non-Identifier-Based High-Gain Adaptive Control , 1993 .

[2]  R. Nussbaum Some remarks on a conjecture in parameter adaptive control , 1983 .

[3]  Zhong-Ping Jiang,et al.  A robust adaptive backstepping scheme for nonlinear systems with unmodeled dynamics , 1999, IEEE Trans. Autom. Control..

[4]  Tao Zhang,et al.  Stable Adaptive Neural Network Control , 2001, The Springer International Series on Asian Studies in Computer and Information Science.

[5]  Jing Wang,et al.  Robust adaptive tracking for time-varying uncertain nonlinear systems with unknown control coefficients , 2003, IEEE Trans. Autom. Control..

[6]  Marios M. Polycarpou,et al.  A Robust Adaptive Nonlinear Control Design , 1993, 1993 American Control Conference.

[7]  Zhengtao Ding,et al.  Adaptive control of non‐linear systems with unknown virtual control coefficients , 2000 .

[8]  Xudong Ye,et al.  Adaptive nonlinear output-feedback control with unknown high-frequency gain sign , 2001, IEEE Trans. Autom. Control..

[9]  E. Ryan A universal adaptive stabilizer for a class of nonlinear systems , 1991 .

[10]  Zhong-Ping Jiang,et al.  Universal output feedback controllers for nonlinear systems with unknown control direction , 2003, Proceedings of the 2003 American Control Conference, 2003..

[11]  Tao Zhang,et al.  Stable adaptive control for nonlinear multivariable systems with a triangular control structure , 2000, IEEE Trans. Autom. Control..

[12]  B. Måtensson,et al.  Remarks on adaptive stabilization of first order non-linear systems , 1990 .

[13]  Masayoshi Tomizuka,et al.  Adaptive robust control of SISO nonlinear systems in a semi-strict feedback form , 1997, Autom..

[14]  Zhong-Ping Jiang,et al.  Design of Robust Adaptive Controllers for Nonlinear Systems with Dynamic Uncertainties , 1998, Autom..

[15]  X. Ye,et al.  Adaptive nonlinear design without a priori knowledge of control directions , 1998, IEEE Trans. Autom. Control..