Exponential stability of filtering problems for delay fuzzy systems

Yu Cheng Lin, Ji Chang Lo

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

7 Scopus citations

Abstract

This paper concerns fuzzy filter design problems for a continuous-time T-S fuzzy system with multiple time delays in the state variables. By using a standard quadratic Lyapunov function, globally exponential stability is demonstrated for the filtering error fuzzy system. And due to the simplest structure of Lyapunov function, the bounds and varying rates of delay times are unknown in this work. A sufficient condition is stated in terms of LMI, which can be solved easily by existing convex algorithms. Lastly, an example illustrates the proposed design methodology.

Original languageEnglish
Title of host publicationConference Proceeding - 2004 IEEE International Conference on Networking, Sensing and Control
Pages926-931
Number of pages6
StatePublished - 2004
EventConference Proceeding - 2004 IEEE International Conference on Networking, Sensing and Control - Taipei, Taiwan
Duration: 21 Mar 200423 Mar 2004

Publication series

NameConference Proceeding - IEEE International Conference on Networking, Sensing and Control
Volume2

Conference

ConferenceConference Proceeding - 2004 IEEE International Conference on Networking, Sensing and Control
Country/TerritoryTaiwan
CityTaipei
Period21/03/0423/03/04

Keywords

  • Filtering problem
  • Linear matrix inequality (LMI)
  • Takagi-Sugeno fuzzy model (T-S fuzzy model)
  • Time delays

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