Relaxed stabilization of T-S fuzzy systems with time-delay

Shun Hung Tsai, Chen Sun, J. C. Lo, H. K. Lam

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

4 Scopus citations

Abstract

In this paper, the relaxed stabilization problem for Takagi and Sugeno (T-S) fuzzy systems with time-delay is investigated. Based on the concept of homogeneous polynomials and Pólya's theorem, a stabilization condition for T-S fuzzy systems with time-delay is proposed in terms of a linear matrix inequality to guarantee the asymptotic stabilization of T-S fuzzy systems with time-delay. In addition, by using the Kronecker product, a more relaxed stabilization condition is proposed. Lastly, an example is given to demonstrate that the proposed stabilization condition can provide the maximum allowable delay time than some existing results.

Original languageEnglish
Title of host publicationFUZZ-IEEE 2013 - 2013 IEEE International Conference on Fuzzy Systems
DOIs
StatePublished - 2013
Event2013 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2013 - Hyderabad, India
Duration: 7 Jul 201310 Jul 2013

Publication series

NameIEEE International Conference on Fuzzy Systems
ISSN (Print)1098-7584

Conference

Conference2013 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2013
Country/TerritoryIndia
CityHyderabad
Period7/07/1310/07/13

Keywords

  • Homogeneous polynomials
  • Pólya theorem
  • Relaxed stabilization
  • T-S fuzzy systems
  • Time-delay

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