中国物理B ›› 2005, Vol. 14 ›› Issue (3): 472-475.doi: 10.1088/1009-1963/14/3/007

• GENERAL • 上一篇    下一篇

An active control synchronization for two modified Chua circuits

李国辉   

  1. Department of Communication Engineering, Shanghai University, Shanghai 200072, China
  • 收稿日期:2004-04-01 修回日期:2004-10-19 出版日期:2005-03-02 发布日期:2005-03-02
  • 基金资助:
    Project supported by the Younger Foundation of Shanghai Municipal Commission of Education (Grant No 03AQ87).

An active control synchronization for two modified Chua circuits

Li Guo-Hui (李国辉)   

  1. Department of Communication Engineering, Shanghai University, Shanghai 200072, China
  • Received:2004-04-01 Revised:2004-10-19 Online:2005-03-02 Published:2005-03-02
  • Supported by:
    Project supported by the Younger Foundation of Shanghai Municipal Commission of Education (Grant No 03AQ87).

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摘要： From modern control theory, an active control method to synchronize two modified Chua circuits with each other, which exhibit chaos, is presented. Some sufficient conditions of linear stability of the chaotic synchronization are obtained from rigorous mathematic justification. On the basis of the state-observer, the controller is analytically deduced using the active control. It is shown that this technique can be applied to achieve synchronization of the two systems with each other, whether they are identical or not. Finally, numerical simulations show the effectiveness of the proposed control scheme.

Abstract: From modern control theory, an active control method to synchronize two modified Chua circuits with each other, which exhibit chaos, is presented. Some sufficient conditions of linear stability of the chaotic synchronization are obtained from rigorous mathematic justification. On the basis of the state-observer, the controller is analytically deduced using the active control. It is shown that this technique can be applied to achieve synchronization of the two systems with each other, whether they are identical or not. Finally, numerical simulations show the effectiveness of the proposed control scheme.

Key words: chaos, synchronization, modified Chua circuit, active control, state observer

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.Pq (Numerical simulations of chaotic systems)