中国物理B ›› 2004, Vol. 13 ›› Issue (9): 1391-1395.doi: 10.1088/1009-1963/13/9/004

• GENERAL • 上一篇    下一篇

Synchronization of chaotic systems based on adaptive observer design

华长春, 关新平   

  1. Institute of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China
  • 收稿日期:2003-07-21 修回日期:2004-02-16 出版日期:2005-06-21 发布日期:2005-06-21
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 60274023).

Synchronization of chaotic systems based on adaptive observer design

Hua Chang-Chun (华长春), Guan Xin-Ping (关新平)   

  1. Institute of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China
  • Received:2003-07-21 Revised:2004-02-16 Online:2005-06-21 Published:2005-06-21
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 60274023).

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摘要： The synchronizing problem of a chaotic system is investigated based on the observer design. The nonlinear section is assumed to satisfy the Lipschitz condition. Firstly, the normal observer is designed based on the known Lipschitz constant and the results are given in linear matrix inequality (LMI) form. Then a fairly simple adaptive observer is designed with the Lipschitz constant unknown. Simulations on synchronizing the Lorenz system are investigated and the results show the validity and feasibility of our main results.

Abstract: The synchronizing problem of a chaotic system is investigated based on the observer design. The nonlinear section is assumed to satisfy the Lipschitz condition. Firstly, the normal observer is designed based on the known Lipschitz constant and the results are given in linear matrix inequality (LMI) form. Then a fairly simple adaptive observer is designed with the Lipschitz constant unknown. Simulations on synchronizing the Lorenz system are investigated and the results show the validity and feasibility of our main results.

Key words: chaos synchronization, adaptive method, linear matrix inequality

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
02.10.Yn (Matrix theory) 05.45.Pq (Numerical simulations of chaotic systems) 02.60.Dc (Numerical linear algebra)