中国物理B ›› 2010, Vol. 19 ›› Issue (5): 50506-050506.doi: 10.1088/1674-1056/19/5/050506

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Fault tolerant synchronization of chaotic systems based on T－S fuzzy model with fuzzy sampled-data controller

马大中, 张化光, 王占山, 冯健   

  1. College of Information Science and Engineering, Northeastern University, Shenyang 110004, China
  • 收稿日期:2009-11-01 修回日期:2009-12-01 出版日期:2010-05-15 发布日期:2010-05-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos.~50977008, 60774048, and 60774093), the National High Technology Research and Development Program of China (Grant No.~2009AA04Z127), and the Special Grant of Financial Support from China Postdoctoral Science Foundation (Grant No.~200902547), and Specialized Research Fund for the Doctoral Program of Higher Education (Grant No.~200801451096).

Fault tolerant synchronization of chaotic systems based on T－S fuzzy model with fuzzy sampled-data controller

Ma Da-Zhong(马大中)†, Zhang Hua-Guang(张化光), Wang Zhan-Shan(王占山), and Feng Jian(冯健)   

  1. College of Information Science and Engineering, Northeastern University, Shenyang 110004, China
  • Received:2009-11-01 Revised:2009-12-01 Online:2010-05-15 Published:2010-05-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos.~50977008, 60774048, and 60774093), the National High Technology Research and Development Program of China (Grant No.~2009AA04Z127), and the Special Grant of Financial Support from China Postdoctoral Science Foundation (Grant No.~200902547), and Specialized Research Fund for the Doctoral Program of Higher Education (Grant No.~200801451096).

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摘要： In this paper the fault tolerant synchronization of two chaotic systems based on fuzzy model and sample data is investigated. The problem of fault tolerant synchronization is formulated to study the global asymptotical stability of the error system with the fuzzy sampled-data controller which contains a state feedback controller and a fault compensator. The synchronization can be achieved no matter whether the fault occurs or not. To investigate the stability of the error system and facilitate the design of the fuzzy sampled-data controller, a Takagi--Sugeno (T--S) fuzzy model is employed to represent the chaotic system dynamics. To acquire the good performance and produce less conservative analysis result, a new parameter-dependent Lyapunov--Krasovksii functional and a relaxed stabilization technique are considered. The stability conditions based on linear matrix inequality are obtained to achieve the fault tolerant synchronization of the chaotic systems. Finally, a numerical simulation is shown to verify the results.

Abstract: In this paper the fault tolerant synchronization of two chaotic systems based on fuzzy model and sample data is investigated. The problem of fault tolerant synchronization is formulated to study the global asymptotical stability of the error system with the fuzzy sampled-data controller which contains a state feedback controller and a fault compensator. The synchronization can be achieved no matter whether the fault occurs or not. To investigate the stability of the error system and facilitate the design of the fuzzy sampled-data controller, a Takagi--Sugeno (T--S) fuzzy model is employed to represent the chaotic system dynamics. To acquire the good performance and produce less conservative analysis result, a new parameter-dependent Lyapunov--Krasovksii functional and a relaxed stabilization technique are considered. The stability conditions based on linear matrix inequality are obtained to achieve the fault tolerant synchronization of the chaotic systems. Finally, a numerical simulation is shown to verify the results.

Key words: fault tolerant synchronization, fuzzy sampled-data controller, Takagi--Sugeno (T--S) fuzzy model, linear matrix inequality (LMI)

中图分类号:  (Control of chaos, applications of chaos)

  • 05.45.Gg
05.45.Xt (Synchronization; coupled oscillators) 02.30.Yy (Control theory)