中国物理B ›› 2004, Vol. 13 ›› Issue (2): 168-172.doi: 10.1088/1009-1963/13/2/008

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Chaos synchronization based on intermittent state observer

李国辉1, 徐得名1, 周世平2   

  1. (1)School of Communication and Information Engineering, Shanghai University, Shanghai 200072, China; (2)School of Science, Shanghai University, Shanghai 200436, China
  • 收稿日期:2003-04-21 修回日期:2003-06-02 出版日期:2004-02-06 发布日期:2005-07-06
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 60371033), the Key Disciplinary Development Program of Shanghai (Grant No 2001-44) and the Younger Foundation of Shanghai Municipal Commission of Education (03AQ87).

Chaos synchronization based on intermittent state observer

Li Guo-Hui (李国辉)a, Zhou Shi-Ping (周世平)b, Xu De-Ming (徐得名)a   

  1. a School of Communication and Information Engineering, Shanghai University, Shanghai 200072, China; b School of Science, Shanghai University, Shanghai 200436, China
  • Received:2003-04-21 Revised:2003-06-02 Online:2004-02-06 Published:2005-07-06
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 60371033), the Key Disciplinary Development Program of Shanghai (Grant No 2001-44) and the Younger Foundation of Shanghai Municipal Commission of Education (03AQ87).

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摘要： This paper describes the method of synchronizing slave to the master trajectory using an intermittent state observer by constructing a synchronizer which drives the response system globally tracing the driving system asymptotically. It has been shown from the theory of synchronization error-analysis that a satisfactory result of chaos synchronization is expected under an appropriate intermittent period and state observer. Compared with continuous control method, the proposed intermittent method can target the desired orbit more efficiently. The application of the method is demonstrated on the hyperchaotic R?ssler systems. Numerical simulations show that the length of the synchronization interval τ_s is of crucial importance for our scheme, and the method is robust with respect to parameter mismatch.

关键词: chaos synchronization, state observer, intermittent method

Abstract: This paper describes the method of synchronizing slave to the master trajectory using an intermittent state observer by constructing a synchronizer which drives the response system globally tracing the driving system asymptotically. It has been shown from the theory of synchronization error-analysis that a satisfactory result of chaos synchronization is expected under an appropriate intermittent period and state observer. Compared with continuous control method, the proposed intermittent method can target the desired orbit more efficiently. The application of the method is demonstrated on the hyperchaotic R?ssler systems. Numerical simulations show that the length of the synchronization interval τ_s is of crucial importance for our scheme, and the method is robust with respect to parameter mismatch.

Key words: chaos synchronization, state observer, intermittent method

中图分类号:  (Synchronization; coupled oscillators)

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