Cascade disturbance rejection control of the uncertain nonlinear systems with nonlinear parameterization

In this paper, uncertain nonlinear systems with nonlinear parameterization are considered. The parametric strict feedback structure is utilized to make the cascade adaptive control scheme feasible. Since the disturbance rejection based adaptive controller is adopted, no prior knowledge of the unknown parameters is necessarily required. Sufficient condition for asymptotic stability of the closed-loop system is derived. Monte-Carlo method is employed to evaluate the performance robustness of the closed-loop system. Simulation results demonstrate the effectiveness and robustness of the proposed cascade adaptive control scheme.

[1]  Global adaptive control of nonlinearly parametrized systems , 2003, IEEE Trans. Autom. Control..

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

[3]  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).

[4]  Fei Shu-min,et al.  Synchronization in the Genesio-Tesi and Coullet systems with nonlinear feedback controlling , 2005 .

[5]  Romeo Ortega,et al.  Immersion and invariance adaptive control of nonlinearly parameterized nonlinear systems , 2009, 2009 American Control Conference.

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

[7]  A. Annaswamy,et al.  Adaptive control of a class of nonlinear systems with convex/concave parameterization , 1999 .

[8]  Paolo Valigi,et al.  A decentralized controller for the robust stabilization of a class of MIMO dynamical systems , 1992, 1992 American Control Conference.

[9]  Zhengtao Ding Adaptive control of triangular systems with nonlinear parameterization , 2001, IEEE Trans. Autom. Control..

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

[11]  D. Mayne Nonlinear and Adaptive Control Design [Book Review] , 1996, IEEE Transactions on Automatic Control.

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

[13]  Qin Yong-yuan Active disturbance rejection control technique to gyrocompass alignment of SINS , 2011 .

[14]  Wei Lin,et al.  Adaptive regulation of uncertain nonlinear systems by output feedback: A universal control approach , 2007, Syst. Control. Lett..

[15]  Song Yue-jin Study on NRC Tuning Rule by Monte-Carlo Simulation , 2008 .

[16]  Wang Chuanfeng A two degree-of-freedom PID controller tuning method , 2008 .

[18]  Antonio Tornambè,et al.  A Decentralized Controller for the Robust Stabilization of a Class of MIMO Dynamical Systems , 1994 .

[19]  Kamesh Subbarao,et al.  A novel parameter projection mechanism for smooth and stable adaptive control , 2005, Syst. Control. Lett..