Output feedback robust H∞ control of uncertain fuzzy dynamic systems with time-varying delay

  • Authors:
  • Kap Rai Lee;Jong Hae Kim;Eun Tae Jeung;Hong Bae Park

  • Affiliations:
  • Dept. of Comput. Appl. Contro, Doowon Tech. Coll., Gyonggi;-;-;-

  • Venue:
  • IEEE Transactions on Fuzzy Systems
  • Year:
  • 2000

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Abstract

This paper presents an output feedback robust H∞ control problem for a class of uncertain fuzzy dynamic systems with time-varying delayed state. The Takagi-Sugeno fuzzy model is employed to represent an uncertain nonlinear systems with time-varying delayed state. Using a single quadratic Lyapunov function, the globally exponential stability and disturbance attenuation of the closed-loop fuzzy control system are discussed. Sufficient conditions for the existence of robust H∞ controllers are given in terms of matrix inequalities. Constructive algorithm for design of robust H ∞ controller is also developed. The resulting controller is nonlinear and automatically tuned based on fuzzy operation