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A new H∞ state feedback controller design method for T-S fuzzy system

  • Harbin Institute of Technology

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

Abstract

In this article, a new systematic synthesis method is proposed to design a state feedback fuzzy controller for a Takagi-Sugeno (T-S) fuzzy plant. Both the stability and H∞ performance of the closed-loop system are considered. More specifically, by using the information that the degree of membership function is constrained within the interval [0, 1], the T-S fuzzy plant is transformed into the form of linear fractional transformation (LFT). Within the framework of LFT, the problem of stability and H∞ performance for the T-S fuzzy system can be reformulated into a convex optimization problem which can be approached by solving two linear matrix inequalities. An numerical example is provided to illustrate the effectiveness of the proposed method.

Original languageEnglish
Title of host publicationProceedings of the 33rd Chinese Control Conference, CCC 2014
EditorsShengyuan Xu, Qianchuan Zhao
PublisherIEEE Computer Society
Pages4494-4499
Number of pages6
ISBN (Electronic)9789881563842
DOIs
StatePublished - 11 Sep 2014
EventProceedings of the 33rd Chinese Control Conference, CCC 2014 - Nanjing, China
Duration: 28 Jul 201430 Jul 2014

Publication series

NameProceedings of the 33rd Chinese Control Conference, CCC 2014
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Conference

ConferenceProceedings of the 33rd Chinese Control Conference, CCC 2014
Country/TerritoryChina
CityNanjing
Period28/07/1430/07/14

Keywords

  • H∞ control
  • T-S fuzzy system
  • linear fractional transformation

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