Robust adaptive control of a class of nonlinear systems by internal model design

This paper addresses a global robust adaptive control problem for a class of uncertain nonlinear systems by output feedback control. The problem will be solved by the internal model design method. Our problem formulation includes the stabilization and synchronization problem of some typical nonlinear systems as special cases. As an illustration, our main result will be applied to solving a robust output synchronization problem of the generalized Lorenz system and an uncertain Harmonic system.

[1]  A. Isidori,et al.  Semiglobal nonlinear output regulation with adaptive internal model , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[2]  Jie Huang,et al.  Nonlinear Output Regulation: Theory and Applications , 2004 .

[3]  V. O. Nikiforov,et al.  Adaptive Non-linear Tracking with Complete Compensation of Unknown Disturbances , 1998, Eur. J. Control.

[4]  Jie Huang,et al.  A general framework for tackling the output regulation problem , 2004, IEEE Transactions on Automatic Control.

[5]  Antonio Loría,et al.  Adaptive Tracking Control of Chaotic Systems With Applications to Synchronization , 2007, IEEE Transactions on Circuits and Systems I: Regular Papers.

[6]  Lorenzo Marconi,et al.  Semi-global nonlinear output regulation with adaptive internal model , 2001, IEEE Trans. Autom. Control..

[7]  Jie Huang,et al.  Robust Adaptive Control of a Class of Nonlinear Systems and Its Applications , 2010, IEEE Transactions on Circuits and Systems I: Regular Papers.

[8]  A. Isidori,et al.  Global robust output regulation for a class of nonlinear systems , 2000 .

[9]  Xiaohua Xia,et al.  Adaptive Synchronization for Generalized Lorenz Systems , 2008, IEEE Transactions on Automatic Control.

[10]  Henrikus J. C. Huijberts,et al.  Linear Controllers for the Stabilization of Unknown Steady States of Chaotic Systems , 2006, IEEE Transactions on Circuits and Systems I: Regular Papers.

[11]  Teh-Lu Liao,et al.  Control of Chua's circuit with a cubic nonlinearity via nonlinear linearization technique , 1998 .

[12]  Jie Huang,et al.  Remarks on the robust output regulation problem for nonlinear systems , 2001, IEEE Trans. Autom. Control..

[13]  Sunil K. Agrawal,et al.  Differential flatness and cooperative tracking in the Lorenz system , 2003, Proceedings of the 2003 American Control Conference, 2003..

[14]  C. Byrnes.  Output Regulation of Uncertain Nonlinear Systems , 1997 .

[15]  Jie Huang,et al.  Parameter convergence and minimal internal model with an adaptive output regulation problem , 2009, Autom..

[16]  E. Lorenz.  Deterministic nonperiodic flow , 1963 .

[17]  Eduardo Sontag,et al.  Changing supply functions in input/state stable systems , 1995, IEEE Trans. Autom. Control..