Fuzzy Impulsive Control and Synchronization of General Chaotic System

In this paper, by utilizing impulsive control theory and T-S fuzzy model, the fuzzy impulsive control and synchronization of general chaotic system are proposed. Some less conservative and more general conditions are obtained to guarantee the globally asymptotical stability for the impulsive control and synchronization of general chaotic system based on T-S fuzzy model. Moreover, some criteria of globally exponential stability of chaotic system are also derived. Finally, some numerical simulations are given to demonstrate the effectiveness of the proposed control method.

[1]  Kazuo Tanaka,et al.  Stability analysis and design of fuzzy control systems , 1992 .

[2]  Ying-Cheng Lai,et al.  Controlling chaos , 1994 .

[3]  Gang Tao.  A robust adaptive law for l/sup 1+/spl alpha// modeling errors , 1999, IEEE Trans. Autom. Control..

[4]  Tao Yang,et al.  Impulsive control , 1999, IEEE Trans. Autom. Control..

[5]  Changyun Wen,et al.  Impulsive control for the stabilization and synchronization of Lorenz systems , 2000 .

[6]  Peter Liu,et al.  LMI-based fuzzy chaotic synchronization and communications , 2001, IEEE Trans. Fuzzy Syst..

[7]  Guan Xin-ping,et al.  THE ADAPTIVE CONTROL OF CHEN’S CHAOTIC SYSTEM , 2001 .

[8]  Qidi Wu,et al.  Impulsive control for the stabilization and synchronization of Lorenz systems , 2002 .

[9]  Y. P. Zhang,et al.  Stability analysis of impulsive control systems , 2003 .

[10]  Qidi Wu,et al.  Less conservative conditions for asymptotic stability of impulsive control systems , 2003, IEEE Trans. Autom. Control..

[11]  Kok Lay Teo,et al.  Stability analysis of impulsive control systems , 2003 .

[12]  Qidi Wu,et al.  Impulsive control and its application to Lü's chaotic system , 2004 .

[13]  Jitao Sun,et al.  Impulsive control and synchronization of Chua's oscillators , 2004, Math. Comput. Simul..

[14]  Ma Jun-hai,et al.  Impulsive control of chaotic attractors in nonlinear chaotic systems , 2004 .

[15]  Donghua Zhou,et al.  A simple time-delayed method to control chaotic systems , 2004 .

[16]  Zhi-Hong Guan,et al.  Impulsive synchronization for Takagi-Sugeno fuzzy model and its application to continuous chaotic system [rapid communication] , 2005 .

[17]  Zhong Li.  Fuzzy Chaotic Systems - Modeling, Control, and Applications , 2006, Studies in Fuzziness and Soft Computing.

[18]  S. Zhong,et al.  T-S fuzzy model-based impulsive control of chaotic systems with exponential decay rate , 2007 .

[19]  Guirong Jiang,et al.  Chaos and its control in an impulsive differential system , 2007 .

[20]  Xiaofeng Liao,et al.  Impulsive control for T-S fuzzy model based chaotic systems with adaptive feedback , 2009, 2009 International Conference on Communications, Circuits and Systems.

[21]  Guanrong Chen,et al.  Fuzzy impulsive control of chaotic systems based on TS fuzzy model , 2009 .