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Stability analysis and systematic design of Takagi-Sugeno fuzzy control systems
Xiu Zhihong,Ren Guang * #
Dalian Maritime University
*Correspondence author
#Submitted by
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Funding: 教育部博士点基金（No.20030151005）
Opened online:30 October 2006
Accepted by: none
Citation: Xiu Zhihong,Ren Guang.Stability analysis and systematic design of Takagi-Sugeno fuzzy control systems[OL]. [30 October 2006] http://en.paper.edu.cn/en_releasepaper/content/9129
 
 
The stability analysis and systematic design technique of Takagi-Sugeno (T-S) fuzzy control systems are discussed. The standard fuzzy partition (SFP) of the input variables of fuzzy control systems is defined. Based on the properties of fuzzy control systems with SFP inputs, the stability of both the input-free T-S fuzzy systems and the closed-loop T-S fuzzy control systems are studied in detail with the extended Lyapunov theory, and two theorems to check the stability of T-S fuzzy control systems are proposed. These methods which only require to find a common positive-definite matrix in each maximal overlapped-rules group (MORG), can reduce the conservatism and difficulty of the former stability analysis approaches. Using the method of parallel distributed compensation (PDC), the systematic design approach of T-S fuzzy control systems is presented. The simulation results of three examples show that these methods are effective.
Keywords:Fuzzy control; Takagi-Sugeno fuzzy model; stability; Standard fuzzy partition; Systematic design
 
 
 

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