New results on H filtering for fuzzy time-delay systems

Jinhui Zhang*, Yuanqing Xia, Ran Tao

*Corresponding author for this work

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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 desired H fuzzy filter is given. Two numerical examples are provided to demonstrate the effectiveness and less conservativeness of the proposed design approach.

Original languageEnglish
Pages (from-to)128-137
Number of pages10
JournalIEEE Transactions on Fuzzy Systems
Volume17
Issue number1
DOIs
Publication statusPublished - 2009

Keywords

  • Fuzzy system
  • H filter
  • Linear matrix inequalities (LMIs)
  • Time delay

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Zhang, J., Xia, Y., & Tao, R. (2009). New results on H filtering for fuzzy time-delay systems. IEEE Transactions on Fuzzy Systems, 17(1), 128-137. https://doi.org/10.1109/TFUZZ.2008.2007424