Journal of Guangdong University of Technology ›› 2010, Vol. 27 ›› Issue (4): 58-61.

• Comprehensive Studies • Previous Articles     Next Articles

Stability Analysis of a Class of Continuous T-S Fuzzy Control System

  

  1. Faculty of Applied Mathematics，Guangdong University of Technology，Guangzhou 510006，China
  • Online:2010-12-25 Published:2010-12-25

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Abstract: The stability of a class of continuous T-S fuzzy control system is analyzed．New sufficient conditions are proposed，which is based on piecewise Lyapunov function．Finally，an example is given to illustrate the effectiveness of the approach．

Key words: T-S fuzzy model；stability；piecewise Lyapunov function

[1]Tanaka K，Sugeno M．Stability analysis and design of fuzzy control system[J]．Fuzzy Sets and System，1992，45(2)；135-156．

[2]Tanaka K，Hori T，Wang H O．A multiple Lyapunov function approach to stability of fuzzy Systems[J]．IEEE Transactions on Fuzzy System，2003，11(4)：582-589．

[3]Ding Hai-Shan，Mao Jian-Qin．Stability suficient condition of a class of continuous Fuzzy Dynamic Systems[J ]．Acta Automatica Sinice，2004，(2)：316-320．

[4]Kim e，Lee H．New approaches to relaxed quadratic stability condition of fuzzy control system『J 1．IEEE Trans．Fuzzy Systems(S1063-6706)，2002，8(5)：523-533．

[5]Fang c H，Liu Y S，Kan S W，[tong L，Lee C H．A new LMI-based approach to relaxed quadratic stabilization of T-S fuzzy control system [J]．IEEE Trans．Fuzzy system (S1063-6706)，2006，14(3)：386-397．

[6]Feng G．Stability analysis of discrete-time fuzzy dynamicsystems based on piecewise Lyapunov functions[J]．IEEE Transations on Fuzzy systems，2004，12(1)：731-741．

[7]Johansson M，Rantzer A，Arzen K E．Piecewise quadratic stability of fuzzy system[J]．IEEE Transations on Fuzzy Systems，1999，7(6)：713-722．

[8]Ren Guang，Xiu Zhi—hong．Stability analysis and systematic design of T-S fuzzy fuzzy control systems[J]．Acta automatica Sinica，2004，30(5)：731-741．

[9]Rhee B J，Won S．A new fuzzy Lyapunov approach for a Takagi-Sugeno fuzzy control system design[J]．Fuzzy Sets and Systems(S0165-0114)．2006．157(9)：1121．1228．

[10]纪志成，周英焕，沈艳霞．基于分段模糊Lyapunov函数的模糊系统稳定性分析和保性能设计[J]．自动化学报，2008，34(6)：721-728．

[11]常晓恒，井元伟，高曦莹，等．T-S模糊控制系统稳定性分析及控制器设计[J]．系统仿真学报，2007，19(24)：5624-5627．
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