Synchronization control of uncertain generalized Lorenz chaotic system: Chattering-free sliding model control

—In this paper, we propose a chattering-free sliding mode control (SMC) scheme for the synchronization of generalized Lorenz chaotic systems with unmatched uncertainties. The concept of quasi sliding mode controller (QSMC) is newly introduced to avoid chattering phenomenon that frequently appears in the conventional sliding mode control systems. The error states between drive and response systems can be stabilized and driven into an arbitrary and predictable neighborhood of zero even with unmatched uncertainties. An example is given to illustrate the effectiveness of the proposed chattering-free SMC developed in this paper.

[1]  Jun-Juh Yan,et al.  Projective synchronization of Chua's chaotic systems with dead-zone in the control input , 2008, Math. Comput. Simul..

[2]  M. Roopaei,et al.  Adaptive gain fuzzy sliding mode control for the synchronization of nonlinear chaotic gyros. , 2009, Chaos.

[3]  Vadim I. Utkin,et al.  Chattering suppression methods in sliding mode control systems , 2007, Annu. Rev. Control..

[4]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[5]  Guanrong Chen,et al.  Chaos synchronization of the master-slave generalized Lorenz systems via linear state error feedback control , 2007, 0807.2107.

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

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

[8]  Guanrong Chen,et al.  Estimating the bounds for the Lorenz family of chaotic systems , 2005 .

[9]  Tzuyin Wu,et al.  Chaos control of the modified Chua's circuit system , 2002 .

[10]  Juebang Yu,et al.  Chaos synchronization using single variable feedback based on backstepping method , 2004 .

[11]  J. Yan,et al.  Robust synchronization of chaotic systems via adaptive sliding mode control , 2006 .

[12]  Hamid Reza Momeni,et al.  Adaptive sliding mode control of chaotic dynamical systems with application to synchronization , 2010, Math. Comput. Simul..

[13]  Jui-Sheng Lin,et al.  Robust Synchronization of Two Chaotic Nonlinear Gyros via An Adaptive Controller , 2009 .

[14]  Bijan Ranjbar Sahraei,et al.  Adaptive sliding mode control in a novel class of chaotic systems , 2010 .

[15]  Jun-Juh Yan,et al.  Sliding mode control for uncertain unified chaotic systems with input nonlinearity , 2007 .