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Admissibility and ℋ∞ performance analysis of T-S fuzzy descriptor systems with time-delay

  • Harbin Institute of Technology
  • Qiqihar University

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper is concerned with the problem of admissibility and ℋ∞ performance of a class of Takagi-Sugeno (T-S) fuzzy descriptor systems with time-delay. A delay-dependent sufficient condition is obtained such that the system is regular, impulse-free and asymptotically stable with the ℋ∞ performance below a prescribed level. The salient feature of the approach include the introduction of a new type of Lyapunov-Krasovskii functional and the technique of delay partitioning. These conditions are formulated in the form of linear matrix inequalities (LMIs). Finally, a numerical example is provided to illustrate the effectiveness of the proposed theories.

Original languageEnglish
Title of host publicationProceedings of the 2nd International Conference on Intelligent Control and Information Processing, ICICIP 2011
Pages77-81
Number of pages5
EditionPART 1
DOIs
StatePublished - 2011
Event2nd International Conference on Intelligent Control and Information Processing, ICICIP 2011 - Harbin, China
Duration: 25 Jul 201128 Jul 2011

Publication series

NameProceedings of the 2nd International Conference on Intelligent Control and Information Processing, ICICIP 2011
NumberPART 1

Conference

Conference2nd International Conference on Intelligent Control and Information Processing, ICICIP 2011
Country/TerritoryChina
CityHarbin
Period25/07/1128/07/11

Keywords

  • Delay partitioning
  • Descriptor system
  • T-S fuzzy model
  • Time-delay

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