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Lag synchronization for fuzzy chaotic system based on fuzzy observer

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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.

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Authors and Affiliations

  1. College of Sciences, Shanghai University, Shanghai, 200444, P. R. China

    Lin-jun Tang  (唐林俊) & Han-xing Wang  (王汉兴)

  2. School of Mathematics and Information, Jiaxing University, Jiaxing, 314001, Zhejiang Province, P. R. China

    Lin-jun Tang  (唐林俊)

  3. College of Mathematical and Physical Sciences, Chongqing University, Chongqing, 400030, P. R. China

    Dong Li  (李东)

  4. Department of Mathematics and Statistics, Lixin University of Commerce, Shanghai, 201620, P. R. China

    Han-xing Wang  (王汉兴)

Authors
  1. Lin-jun Tang  (唐林俊)
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  2. Dong Li  (李东)
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  3. Han-xing Wang  (王汉兴)
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Corresponding author

Correspondence to Lin-jun Tang  (唐林俊).

Additional information

(Communicated by Li-qun CHEN)

Project supported by the National Natural Science Foundation of China (No. 60872060) and the Key Projects of Shanghai Municipal Commission of Education (No. 06ZZ84)

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Tang, Lj., Li, D. & Wang, Hx. Lag synchronization for fuzzy chaotic system based on fuzzy observer. Appl. Math. Mech.-Engl. Ed. 30, 803–810 (2009). https://doi.org/10.1007/s10483-009-0615-y

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  • DOI: https://doi.org/10.1007/s10483-009-0615-y

Key words

Chinese Library Classification

2000 Mathematics Subject Classification

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