A relaxed stability criterion for T-S fuzzy discrete system

Wen June Wang, Chung Hsun Sun

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

13 Scopus citations

Abstract

Stability conditions for T-S fuzzy discrete systems based on a conventional quadratic Lyapunov function or a weighting dependent Lyapunov function have been proposed in lots of literature. This paper tries to relax the conservatism of those stability conditions. By using the concept of firing rules group by each input and the examination of the maximum distance of two successive states of the system, the stability criterion can be relaxed obviously. The relaxed stability criterion give us one more chance to examine the stability of the T-S fuzzy discrete system if the common matrix P does not exist or those Lyapunov inequalities, which are derived based on the weighting dependent Lyapunov function, do not hold. An example is illustrated to show the relaxation effectiveness of the proposed stability criterion.

Original languageEnglish
Title of host publicationConference Proceeding - 2004 IEEE International Conference on Networking, Sensing and Control
Pages937-942
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

  • Relaxed conditions
  • T-S model
  • Weighting dependent Lyapunav function

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