A novel stabilization condition for a class of T–S fuzzy time-delay systems

Shun Hung Tsai, Yu An Chen, Ji Chang Lo

Research output: Contribution to journalArticlepeer-review

32 Scopus citations

Abstract

In this paper, a relaxed stabilization problem for a class of Takagi and Sugeno (T–S) fuzzy time-delay systems is explored. By utilizing homogeneous polynomials scheme and Pólya׳s theorem, a relaxed delay-dependent stabilization condition is proposed. In addition, a novel slack matrix scheme is presented for stabilization condition of a class of T–S fuzzy time-delay systems in terms of linear matrix inequalities (LMIs). Lastly, a well-know numerical example and a truck-trailer example are given to demonstrate that the proposed stabilization condition can provide a longer allowable delay time than some existing studies.

Original languageEnglish
Pages (from-to)223-232
Number of pages10
JournalNeurocomputing
Volume175
Issue numberPartA
DOIs
StatePublished - 3 Jun 2015

Keywords

  • Fuzzy time-delay systems
  • Homogeneous polynomials
  • Linear matrix inequality (LMI)
  • Pólya׳s theorem
  • Takagi–Sugeno (T–S) fuzzy model

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