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Robust dissipative control for discrete-time T-S fuzzy systems with time delays

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Abstract

Robust stability problem and dissipativeness analysis for uncertain discrete-time Takagi-Sugeno (T-S) fuzzy systems with time delays is studied via Lyapunov stability theory. The parametric uncertainty is assumed to be norm bounded. Based on Lyapunov stability theory, a sufficient condition on the existence of robust dissipative controllers is derived firstly. Then with the help of linear matrix inequality (LMI) method, robust dissipative controllers are designed such that for all admissible uncertainties and time delays, the closed-loop system is robust stable and strictly dissipative. A numerical example demonstrates the effect of the proposed design method.

Original languageEnglish
Title of host publicationProceedings of the 27th Chinese Control Conference, CCC
Pages276-280
Number of pages5
DOIs
StatePublished - 2008
Event27th Chinese Control Conference, CCC - Kunming, Yunnan, China
Duration: 16 Jul 200818 Jul 2008

Publication series

NameProceedings of the 27th Chinese Control Conference, CCC

Conference

Conference27th Chinese Control Conference, CCC
Country/TerritoryChina
CityKunming, Yunnan
Period16/07/0818/07/08

Keywords

  • Discrete-time T-S fuzzy systems
  • Dissipative performance
  • Linear matrix inequality
  • Robust control
  • Time delays

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