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H∞infinity discrete time fuzzy controller design based on bilinear matrix inequality

G. Feng and M. Chen   

  1. Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong
    Kowloon, Hong Kong SAR, P.R.China
  • Received:2009-03-06 Revised:1900-01-01 Online:2009-04-16 Published:2009-04-16

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Abstract:

This paper presents an H∞ 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∞ 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.

Key words: H∞infinity control, discretetime fuzzy dynamic system, bilinear matrix inequality, piecewise smooth Lyapunov function

CLC Number: 

  • TP13
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