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Robust Passive Control for T-S Fuzzy Systems

  • Yanjiang Li
  • Yanming Fu
  • Guangren Duan
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4114)

Abstract

This paper presents a design method of robust passive controllers for continuous-time Takagi-Sugenon (T-S) fuzzy systems. The parametric uncertainty is assumed to be norm bounded. By applying the Lyapunov stability theory, a sufficient condition on the existence of robust passive controllers is given. With the help of linear matrix inequality (LMI), robust passive controllers are designed such that the closed-loop system is robust stable and satisfies the passive performance. Furthermore, a convex optimization problem with LMI constraints is formulated to design robust passive controller with the maximum dissipation rate. A numerical example demonstrates the validity of this method.

Keywords: T-S fuzzy systems, robust control, passive performance, linear matrix inequalities.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Yanjiang Li
    • 1
  • Yanming Fu
    • 1
  • Guangren Duan
    • 1
  1. 1.Center for Control Theory and Guidance Technology, Harbin Institute of Technology, P.O. Box 416, Harbin, 150001China

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