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A relaxed stability analysis of T-S fuzzy system

  • Song Tao Zhang*
  • , Shu Juan Wang
  • *Corresponding author for this work
  • School of Electrical Engineering and Automation, Harbin Institute of Technology
  • Harbin University of Commerce

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

Abstract

Stability conditions of T-S fuzzy system based on a common positive definite matrix or a set of positive definite matrices have been proposed in lots of literature. This paper proposes an approach to relax the conservatism of those stability conditions. By using the concept of the efficient maximal overlapped-rules group (EMORG), a relaxed sufficient condition is derived to guarantee quadratic stability of the fuzzy model globally. This condition only requires finding a local common positive definite matrix in each EMORG. Moreover, the proposed stability condition includes previous results as special cases. Several examples are illustrated to show the effectiveness of the proposed stability condition.

Original languageEnglish
Title of host publicationProceedings of the 7th World Congress on Intelligent Control and Automation, WCICA'08
Pages4331-4336
Number of pages6
DOIs
StatePublished - 2008
Externally publishedYes
Event7th World Congress on Intelligent Control and Automation, WCICA'08 - Chongqing, China
Duration: 25 Jun 200827 Jun 2008

Publication series

NameProceedings of the World Congress on Intelligent Control and Automation (WCICA)

Conference

Conference7th World Congress on Intelligent Control and Automation, WCICA'08
Country/TerritoryChina
CityChongqing
Period25/06/0827/06/08

Keywords

  • Positive definite matrix
  • Stability condition
  • T-S fuzzy system

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