Delay-dependent H∞ filter design for discrete-time fuzzy systems with time-varying delays

  • Authors:

  • Meng Chen;Gang Feng;Haibo Ma;Ge Chen

  • Affiliations:

  • Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Kowloon, Hong Kong;Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Kowloon, Hong Kong;Johnson Electric Group, Hong Kong;Automation Company of Taiyuan Iron and Steel Company, Ltd., Taiyuan, China

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

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Abstract

This paper investigates delay-dependent H∞ filter design problems for discrete-time fuzzy systems with time-varying delays. First, a novel delay-dependent piecewise Lyapunov-Krasovskii functional (DDPLKF) is proposed in which both the upper bound of delays and the delay interval are considered. Based on this DDPLKF, the delay-dependent stability criteria for discretetime systems with constant or time-varying delays are obtained, respectively. Then, delay-dependent full-order and reduced-order H∞ filter design approaches are proposed. The filter parameters can be obtained by solving a set of linear matrix inequalities (LMIs). Simulation examples are also given to illustrate the performance of the proposed approaches. It is shown that our approaches are less conservative and that the corresponding H∞ filters can achieve better performance than the existing approaches.