| Fault tolerant synchronization of chaotic systems based on T-S fuzzy model with fuzzy sampled-data controller |
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| 作者姓名： | 马大中 张化光 王占山 冯健 |
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| 作者单位： | College of Information Science and Engineering, Northeastern
University, Shenyang 110004, China |
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| 基金项目： | 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.
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| 关 键 词： | fault tolerant synchronization fuzzy sampled-data controller Takagi-Sugeno(T-S) fuzzy model linear matrix inequality(LMI) |
| 收稿时间： | 2009-11-01 |
Fault tolerant synchronization of chaotic systems based on T－S fuzzy model with fuzzy sampled-data controller |
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| Ma Da-Zhong,Zhang Hua-Guang,WangZhan-Shan and Feng Jian.Fault tolerant synchronization of chaotic systems based on T-S fuzzy model with fuzzy sampled-data controller[J].Chinese Physics B,2010,19(5):50506-050506. |
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| Authors: | Ma Da-Zhong Zhang Hua-Guang WangZhan-Shan and Feng Jian |
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| Affiliation: | College of Information Science and Engineering, Northeastern University, Shenyang 110004, China |
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| 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. |
| |
| Keywords: | fault tolerant synchronization fuzzy sampled-data
controller Takagi--Sugeno (T--S) fuzzy model linear
matrix inequality (LMI) |
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