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T-S fuzzy design for nonlinear state-delayed descriptor system via sliding mode control

  • 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 sliding mode control (SMC) of a class of Takagi-Sugeno (T-S) fuzzy descriptor system with time-delay. An integral-type sliding surface function is designed by taking the descriptor matrix into account, thus the resulting sliding mode dynamics is a full-order uncertain T-S fuzzy descriptor time-delay system. By use of the delay partitioning technique, a delay-dependent criterion is established, which ensures the sliding mode dynamics to be regular, impulse-free and stable. Moreover, a SMC law is synthesized to guarantee the stability of the closed-loop system, and the proposed SMC law can drive the dynamics of controlled system into a designated sliding surface in a finite time. Finally, a numerical example is provided to illustrate the effectiveness of the proposed theories.

Original languageEnglish
Title of host publicationProceedings of the 30th Chinese Control Conference, CCC 2011
Pages2560-2565
Number of pages6
StatePublished - 2011
Event30th Chinese Control Conference, CCC 2011 - Yantai, China
Duration: 22 Jul 201124 Jul 2011

Publication series

NameProceedings of the 30th Chinese Control Conference, CCC 2011

Conference

Conference30th Chinese Control Conference, CCC 2011
Country/TerritoryChina
CityYantai
Period22/07/1124/07/11

Keywords

  • Descriptor system
  • Sliding mode control
  • T-S fuzzy model
  • Time-delay

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