Stability analysis and synthesis for switched Takagi–Sugeno fuzzy positive systems described by the Roesser model

Jinling Wang, Jinling Liang, Abdullah Dobaie

Research output: Contribution to journalJournal articlepeer-review

9 Scopus citations

Abstract

This article focuses on stability analysis and controller synthesis of a class of Roesser-type switched Takagi–Sugeno fuzzy systems with delays. First, sufficient conditions derived by use of the co-positive Lyapunov function and the average dwell time method are presented to guarantee the proposed system is positive and exponentially stable. Then via a state feedback fuzzy controller, criteria are also given under which not only the resulting closed-loop system is positive and exponentially stable but also the desired controller gain matrices can be designed by solving a set of coupled matrix inequalities. Finally, two illustrative examples are provided to show the effectiveness of the approach outlined in this article.

Original languageEnglish
Pages (from-to)25-39
Number of pages15
JournalFuzzy Sets and Systems
Volume371
DOIs
StatePublished - 15 Sep 2019

Keywords

  • Average dwell time
  • Exponential stability
  • Positive systems
  • Roesser model
  • Takagi–Sugeno fuzzy rule

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