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Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (6): 803-810.doi: https://doi.org/10.1007/s10483-009-0615-y

• Articles • 上一篇    

Lag synchronization for fuzzy chaotic system based on fuzzy observer

唐林俊1，2 李东3 王汉兴1，4   

  1. 1. College of Sciences, Shanghai University, Shanghai 200444, P. R. China;
    2. School of Mathematics and Information, Jiaxing University, Jiaxing 314001,Zhejiang Province, P. R. China;
    3. College of Mathematical and Physical Sciences, Chongqing University,Chongqing 400030, P. R. China;
    4. Department of Mathematics and Statistics, Lixin University of Commerce,Shanghai 201620, P. R. China)
  • 收稿日期:2008-08-03 修回日期:2009-05-04 出版日期:2009-06-01 发布日期:2009-06-01

Lag synchronization for fuzzy chaotic system based on fuzzy observer

Lin-Jun TANG1，2, Dong LI3, Han-Xin WANG1，4   

  1. 1. College of Sciences, Shanghai University, Shanghai 200444, P. R. China;
    2. School of Mathematics and Information, Jiaxing University, Jiaxing 314001,Zhejiang Province, P. R. China;
    3. College of Mathematical and Physical Sciences, Chongqing University,Chongqing 400030, P. R. China;
    4. Department of Mathematics and Statistics, Lixin University of Commerce,Shanghai 201620, P. R. China)
  • Received:2008-08-03 Revised:2009-05-04 Online:2009-06-01 Published:2009-06-01

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摘要： A new fuzzy observer for lag synchronization is given in this paper. By investigating synchronization of chaotic systems, the structure of drive-response lag synchronization for fuzzy chaos system based on fuzzy observer is proposed. A new lag synchronization criterion is derived using the Lyapunov stability theorem, in which control gains are obtained under the LMI condition. The proposed approach is applied to the well-known Chen’s systems. A simulation example is presented to illustrate its effectiveness.

关键词: fuzzy chaotic system, lag synchronization, fuzzy observer

Abstract: A new fuzzy observer for lag synchronization is given in this paper. By investigating synchronization of chaotic systems, the structure of drive-response lag synchronization for fuzzy chaos system based on fuzzy observer is proposed. A new lag synchronization criterion is derived using the Lyapunov stability theorem, in which control gains are obtained under the LMI condition. The proposed approach is applied to the well-known Chen’s systems. A simulation example is presented to illustrate its effectiveness.

Key words: fuzzy chaotic system, lag synchronization, fuzzy observer

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