Proceedings of the Korean Institute of Intelligent Systems Conference (한국지능시스템학회:학술대회논문집)

Korean Institute of Intelligent Systems (한국지능시스템학회)
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LMI-Based Design of Fuzzy Controllers for Takagi-Sugeno Fuzzy Systems

  • Kim, Jinsung (Department of Applied Electronics, Graduate School, Korea University) ;
  • Park, Jooyoung (Department of Control and Instrumentation Engineering, Korea University) ;
  • Park, Daihee (Department of Computer Science, Korea University)
  • Published : 1998.06.01
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Abstract

There have been several recent studies concerning the stability of fuzzy control systems and the synthesis of stabilizing fuzzy controller. This paper reports on a related study of the TS(Takagi-Sugeno) fuzzy systems, and it is shown that the controller synthesis problems for the nonlinear systems described by the TS fuzzy model can be reduced to convex problems involving LMIs(Linear matrix inequalities). After classifying the TS fuzzy systems into two families based on how diverse their input matrices are, different controller synthesis procedure is given for each of these families. A numerical example is presented to illustrate the synthesis procedures developed in this paper.

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