Guaranteed cost LPV controller design for a class of chaos synchronization

This paper considers the guaranteed cost synchronization problem for a class of chaotic systems. Using a convex representation of error dynamics, state and output feedback LPV (Linear Parameter Varying) controllers are proposed. The criteria for the existence of the controllers are derived in terms of LMI (Linear Matrix Inequality). Numerical examples show the effectiveness of the proposed method.

[1]  A. N. Njah,et al.  Tracking control and synchronization of the new hyperchaotic Liu system via backstepping techniques , 2010 .

[2]  PooGyeon Park,et al.  LPV controller design for the nonlinear RTAC system , 2001 .

[3]  Moez Feki,et al.  Observer-based chaotic synchronization in the presence of unknown inputs , 2003 .

[4]  Johan A. K. Suykens,et al.  Master-Slave Synchronization of Lur'e Systems with Time-Delay , 2001, Int. J. Bifurc. Chaos.

[5]  Wei Xing Zheng,et al.  An LMI criterion for linear-state-feedback based chaos synchronization of a class of chaotic systems , 2005 .

[6]  Doo Jin Choi,et al.  Guaranteed cost LPV output-feedback controller design for nonlinear systems , 2001, ISIE 2001. 2001 IEEE International Symposium on Industrial Electronics Proceedings (Cat. No.01TH8570).

[7]  Guanrong Chen,et al.  Some observer-based criteria for discrete-time generalized chaos synchronization , 2002 .

[8]  Jun-an Lu,et al.  Parameter identification and backstepping control of uncertain Lü system , 2003 .

[9]  L. Chua,et al.  HYPERCHAOTIC ATTRACTORS OF UNIDIRECTIONALLY-COUPLED CHUA’S CIRCUITS , 1994 .

[10]  W. Zhang,et al.  LMI criteria for robust chaos synchronization of a class of chaotic systems , 2007 .

[11]  Ho-Youl Jung,et al.  An LPV approach to the guaranteed cost control for Lur'e systems , 2010, Proceedings of the 2010 American Control Conference.

[12]  Chun-Chieh Wang,et al.  A new adaptive variable structure control for chaotic synchronization and secure communication , 2004 .

[13]  Hui Zhang,et al.  Optimal control for a class of chaos synchronization with input constraint , 2006, 2006 American Control Conference.

[14]  H. Yau.  Design of adaptive sliding mode controller for chaos synchronization with uncertainties , 2004 .