中国物理B ›› 2002, Vol. 11 ›› Issue (7): 666-669.doi: 10.1088/1009-1963/11/7/304

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Adaptive synchronization of Rossler and Chen chaotic systems

李智1, 韩崇昭2   

  1. (1)Department of Automatic Control Engineering, Xidian University, Xi'an 710071, China; School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an 710049, China; (2)School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an 710049, China
  • 收稿日期:2001-12-14 修回日期:2002-02-04 出版日期:2002-07-12 发布日期:2005-06-12

Adaptive synchronization of Rossler and Chen chaotic systems

Li Zhi (李智)ab, Han Chong-Zhao (韩崇昭)b   

  1. 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
  • Received:2001-12-14 Revised:2002-02-04 Online:2002-07-12 Published:2005-06-12

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摘要： 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.

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.

Key words: chaotic systems, chaos control, adaptive synchronization, Rossler system, Chen attractor

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.Gg (Control of chaos, applications of chaos) 05.45.Pq (Numerical simulations of chaotic systems)