Novel membership-function-dependent stability condition for T-S fuzzy systems

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4 Citations (Scopus)

Abstract

This paper presents an idea to further simplify and relax the linear matrix inequality (LMI) stability conditions of Takagi-Sugeno (T-S) fuzzy systems. By considering the distribution of membership functions in a unified space, we can easily find the overall relation of the original nonlinear system and its approximated local subsystems. Based on the theory of convex combination, the upper-bounds and lower-bounds of each membership functions can be directly used to construct less conservative LMI conditions. The cases of both Type-1 and Type- 2 systems are considered, and examples are provided to illustrate the achieved improvement.

Original languageEnglish
Title of host publication2016 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2199-2205
Number of pages7
ISBN (Print)9781509006250
DOIs
Publication statusPublished - 7 Nov 2016
Event2016 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2016 - Vancouver, Canada
Duration: 24 Jul 201629 Jul 2016

Conference

Conference2016 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2016
Country/TerritoryCanada
CityVancouver
Period24/07/201629/07/2016

Keywords

  • Convex combination
  • Membership function
  • Stability analysis
  • T-S fuzzy system

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