Synchronization of chaotic systems with parametric uncertainty using active sliding mode control

Abstract This paper presents an active sliding mode control method for synchronizing two chaotic systems with parametric uncertainty. And a sufficient condition is drawn for the robust stability of the error dynamics, and is applied to guiding the design of the controllers. Finally, numerical results are used to show the robustness and effectiveness of the proposed control strategy.

[1]  Vadim I. Utkin,et al.  A control engineer's guide to sliding mode control , 1999, IEEE Trans. Control. Syst. Technol..

[2]  Keiji Konishi,et al.  Sliding mode control for a class of chaotic systems , 1998 .

[3]  Daizhan Cheng,et al.  Bridge the Gap between the Lorenz System and the Chen System , 2002, Int. J. Bifurc. Chaos.

[4]  John Y. Hung,et al.  Variable structure control: a survey , 1993, IEEE Trans. Ind. Electron..

[5]  Kestutis Pyragas.  Continuous control of chaos by self-controlling feedback , 1992 .

[6]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.

[7]  Guanrong Chen,et al.  On some controllability conditions for chaotic dynamics control , 1997 .

[8]  J Ohtsubo,et al.  Chaos synchronization based on a continuous chaos control method in semiconductor lasers with optical feedback. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  J. Rogers.  Chaos , 1876 .

[10]  Synchronization and intermittency in three-coupled chaotic oscillators. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  Yao-Chen Hung,et al.  Synchronization of two different systems by using generalized active control , 2002 .

[13]  M. Roussel,et al.  Synchronization by irregular inactivation. , 2000, Physical review letters.

[14]  Jinhu Lu,et al.  A New Chaotic Attractor Coined , 2002, Int. J. Bifurc. Chaos.

[15]  H. Agiza,et al.  Synchronization of Rossler and Chen chaotic dynamical systems using active control , 2001, Physics Letters A.

[16]  Hao Zhang,et al.  Synchronization of uncertain chaotic systems with parameters perturbation via active control , 2004 .

[17]  Celso Grebogi,et al.  THE CONTROL OF CHAOS: THEORETICAL SCHEMES AND EXPERIMENTAL REALIZATIONS , 1998 .

[18]  Leon O. Chua,et al.  Conditions for impulsive Synchronization of Chaotic and hyperchaotic Systems , 2001, Int. J. Bifurc. Chaos.

[19]  Yang Tao,et al.  Impulsive stabilization for control and synchronization of chaotic systems: theory and application to secure communication , 1997 .

[20]  Xinghuo Yu,et al.  Variable structure control approach for controlling chaos , 1997 .

[21]  Guanrong Chen.  Controlling Chaos and Bifurcations in Engineering Systems , 1999 .

[22]  Er-Wei Bai,et al.  Sequential synchronization of two Lorenz systems using active control , 2000 .

[23]  Er-Wei Bai,et al.  Synchronization of two Lorenz systems using active control , 1997 .