New results on H∞ filtering for fuzzy time-delay systems

  • Authors:
  • Jinhui Zhang;Yuanqing Xia;Ran Tao

  • Affiliations:
  • Department of Automatic Control, Beijing Institute of Technology, Beijing, China;Department of Automatic Control, Beijing Institute of Technology, Beijing, China;Department of Electronic Engineering, Beijing Institute of Technology, Beijing, China

  • Venue:
  • IEEE Transactions on Fuzzy Systems
  • Year:
  • 2009

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Abstract

This paper is concerned with the H∞ fuzzy filtering problem for a class of continuous-time fuzzy systems with time-varying delays. The objective is to design a stable filter guaranteeing the asymptotic stability and a prescribed H∞ performance of the filtering error system. Motivated by the parallel distributed compensation technique, we design a new filter model in this paper. Filter parameter matrices can be obtained from the solution of a convex optimization problem in terms of linear matrix inequalities (LMIs). When these LMIs are feasible, an explicit expression of a desiredH∞ fuzzy filter is given. Two numerical examples are provided to demonstrate the effectiveness and less conservativeness of the proposed design approach.