Robust H∞ Control for Uncertain Takagi–Sugeno Fuzzy Systems With Interval Time-Varying Delay

  • Authors:

  • Xiefu Jiang;Qing-Long Han

  • Affiliations:

  • Fac. of Bus. & Informatics, Univ. Coll. of Central Queensland, Rockhampton, Qld.;-

  • Venue:
  • IEEE Transactions on Fuzzy Systems
  • Year:
  • 2007

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Abstract

This paper is concerned with the problem of robust Hinfin control for a class of uncertain time-delay fuzzy systems. The time-delay is assumed to be a time-varying continuous function belonging to a given interval, which means that the lower and upper bounds for the time-varying delay are available. No restriction on the derivative of the time-varying delay is needed, which allows the time-delay to be a fast time-varying function. The Takagi-Sugeno (T-S) uncertain fuzzy model with interval time-varying delay is adopted. Based on the Lyapunov-Krasovskii functional approach, some delay-dependent conditions for the existence of robust Hinfin controller are formulated in the form of linear matrix inequalities (LMIs). When these LMIs are feasible, an Hinfin controller is presented. A numerical example is given to demonstrate the effectiveness of the proposed method