Delay-dependent guaranteed cost control for uncertain T-S fuzzy systems with time-varying delays

Yi You Hou, Teh Lu Liao, Jun Juh Yan, Chang Hua Lien

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The problem of guaranteed cost control for uncertain Takagi-Sugeno (T-S) fuzzy systems with time-varying delays is investigated through linear matrix inequality (LMI) approach. Based on Lyapunov-Krasovskii functional theory and LMI technique, a state feedback controller is proposed to stabilize the uncertain T-S fuzzy systems and minimize the guaranteed cost of the closed-loop systems. A delay-dependent stability criterion is derived to guarantee the asymptotical stability of closed-loop systems. By constructing a novel Lyapunov functional, the supplementary requirement that the time-derivative of time-varying delays must be smaller than one is released for the proposed delay-dependent stability criterion. A numerical example is given to verify the validity of the results developed in this paper.

Original languageEnglish
Title of host publicationProceedings of the 25th IASTED International Conference on Modelling, Identification, and Control, MIC 2006
Pages372-378
Number of pages7
Publication statusPublished - 2006
Event25th IASTED International Conference on Modelling, Identification, and Control, MIC 2006 - Lanzarote, Canary Islands, Spain
Duration: 2006 Jan 62006 Jan 8

Publication series

NameProceedings of the IASTED International Conference on Modelling, Identification, and Control, MIC
ISSN (Print)1025-8973

Other

Other25th IASTED International Conference on Modelling, Identification, and Control, MIC 2006
Country/TerritorySpain
CityLanzarote, Canary Islands
Period06-01-0606-01-08

All Science Journal Classification (ASJC) codes

  • Software
  • Modelling and Simulation
  • Computer Science Applications

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