Adaptive Synchronization of a Class of Chaotic System Via Dynamic Surface Control

【Author】 Liu Tongshuan, Guan Xinping~1, Xu Hao, Xu Yajie(1. Institute of Electrical Engineenng, Yanshan University, Qinhuangdao, 066004)

【摘要】 <正> In this paper, a synchronization scheme for a class of chaotic systems with the feedback form is proposed based on dynamic surface control (DSC). Different from the conventional backstepping method, a first-order filter is introduced in every design step. For the filter, the repeated differentiation of nonlinear functions is removed and the defect "explosion of complexity" existing in the backstepping method is avoided. Henceforth, the derived control law is much simpler than that derived from backstepping design. Finally, a simulation example is given to illustrate the performance of the offered method.更多还原

【Abstract】 In this paper, a synchronization scheme for a class of chaotic systems with the feedback form is proposed based on dynamic surface control (DSC). Different from the conventional backstepping method, a first-order filter is introduced in every design step. For the filter, the repeated differentiation of nonlinear functions is removed and the defect "explosion of complexity" existing in the backstepping method is avoided. Henceforth, the derived control law is much simpler than that derived from backstepping design. Finally, a simulation example is given to illustrate the performance of the offered method.更多还原