Adaptive synchronization of Rossler and Chen chaotic systems
Li Zhi (李智)ab, Han Chong-Zhao (韩崇昭)b
a Department of Automatic Control Engineering, Xidian University, Xi'an 710071, China; b School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an 710049, China
Abstract A novel adaptive synchronization method is proposed for two identical Rossler and Chen systems with uncertain parameters. Based on Lyapunov stability theory, we derive an adaptive controller without the knowledge of the system parameters, which can make the states of two identical Rossler and Chen systems globally asymptotically synchronized. Especially, when some unknown uncertain parameters are positive, we can make the controller more simple and, besides, the controller is independent of those positive uncertain parameters. All results are proved using a well-known Lyapunov stability theorem. Numerical simulations are given to validate the proposed synchronization approach.
Received: 14 December 2001
Revised: 04 February 2002
Accepted manuscript online:
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