Non-fragile H∞ filter design for discrete-time fuzzy systems with multiplicative gain variations

  • Authors:
  • Xiao-Heng Chang;Guang-Hong Yang

  • Affiliations:
  • -;-

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2014

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Abstract

This paper investigates the problem of non-fragile H"~ filter design for discrete-time Takagi-Sugeno (T-S) fuzzy systems. The filter to be designed is assumed to have two type of multiplicative gain variations. By introducing additional matrix variables, a relaxed H"~ filtering analysis criterion is presented for the fuzzy system based on the fuzzy Lyapunov function. A filter state transformation approach is adopted to design the non-fragile H"~ filter, and the filter gains are given in terms of the feasible solutions of a set of linear matrix inequalities (LMIs). A simulation example is given to show the efficiency of the proposed methods.