International Journal of Fuzzy Logic and Intelligent Systems

Korean Institute of Intelligent Systems (한국지능시스템학회)
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H-infinity Discrete Time Fuzzy Controller Design Based on Bilinear Matrix Inequality

  • Chen M. (Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong) ;
  • Feng G. (Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong) ;
  • Zhou S.S. (Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong)
  • Published : 2006.06.01
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Abstract

This paper presents an $H_{\infty}$ controller synthesis method for discrete time fuzzy dynamic systems based on a piecewise smooth Lyapunov function. The basic idea of the proposed approach is to construct controllers for the fuzzy dynamic systems in such a way that a Piecewise smooth Lyapunov function can be used to establish the global stability with $H_{\infty}$ performance of the resulting closed loop fuzzy control systems. It is shown that the control laws can be obtained by solving a set of Bilinear Matrix Inequalities (BMIs). An example is given to illustrate the application of the proposed method.

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