Synchronizing chaotic systems using backstepping design

نویسندگان

  • Xiaohui Tan
  • Jiye Zhang
  • Yiren Yang
چکیده

Backstepping design is a recursive procedure that combines the choice of a Lyapunov function with the design of a controller. In this paper it is proposed for synchronizing chaotic systems. There are several advantages in this method for synchronizing chaotic systems: (a) it presents a systematic procedure for selecting a proper controller in chaos synchronization; (b) it can be applied to a variety of chaotic systems whether they contain external excitation or not; (c) it needs only one controller to realize synchronization between chaotic systems; (d) there is no derivatives in controller, so it is easy to be complemented. Examples of Lorenz system, Chua s circuit and Duffing system are presented. 2002 Elsevier Science Ltd. All rights reserved.

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تاریخ انتشار 2002