中国物理B ›› 2008, Vol. 17 ›› Issue (2): 498-502.doi: 10.1088/1674-1056/17/2/026

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Backstepping synchronization of uncertain chaotic systems by a single driving variable

郭治安1, 张庆灵2, 吕 翎3   

  1. (1)Department of Mathematics and Physics, Dalian Jiaotong University, Dalian 116028, China; (2)Institute of System Science, Northeastern University, Shenyang 110004, China; (3)Institute of System Science, Northeastern University, Shenyang 110004, China;College of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China
  • 收稿日期:2007-01-16 修回日期:2007-05-21 出版日期:2008-02-20 发布日期:2008-02-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 60574011).

Backstepping synchronization of uncertain chaotic systems by a single driving variable

Lü Ling(吕翎)a)b)†, Zhang Qing-Ling(张庆灵)a), and Guo Zhi-An(郭治安)c)   

  1. a Institute of System Science, Northeastern University, Shenyang 110004, China; b College of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China; c Department of Mathematics and Physics, Dalian Jiaotong University, Dalian 116028, China
  • Received:2007-01-16 Revised:2007-05-21 Online:2008-02-20 Published:2008-02-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 60574011).

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摘要： In this paper a parameter observer and a synchronization controller are designed to synchronize unknown chaotic systems with diverse structures. Based on stability theory the structures of the observer and the controller are presented. The unknown Coullet system and Rossler system are taken for examples to demonstrate that the method is effective and feasible. The artificial simulation results show that global synchronization between the unknown Coullet system and the Rossler system can be achieved by a single driving variable with co-operation of the observer and the controller, and all parameters of the Coullet system can be identified at the same time.

关键词: backstepping synchronization, parameter identification, uncertain Coullet system, Rossler system

Abstract: In this paper a parameter observer and a synchronization controller are designed to synchronize unknown chaotic systems with diverse structures. Based on stability theory the structures of the observer and the controller are presented. The unknown Coullet system and Rossler system are taken for examples to demonstrate that the method is effective and feasible. The artificial simulation results show that global synchronization between the unknown Coullet system and the Rossler system can be achieved by a single driving variable with co-operation of the observer and the controller, and all parameters of the Coullet system can be identified at the same time.

Key words: backstepping synchronization, parameter identification, uncertain Coullet system, Rossler system

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.Gg (Control of chaos, applications of chaos)