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Robust analysis of fuzzy guaranteed cost control for a class of time-delay systems with uncertain parameters

  • Guang Fu Ma*
  • , Shi Zhong
  • , Liang Kuan Zhu
  • , Ya Qiu Liu
  • *Corresponding author for this work
  • Harbin Institute of Technology
  • Bohai University

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

Abstract

This paper is concerned with the problem of fuzzy guaranteed cost control of time-delay system with parametric uncertainties based on T-S. model. By making out the singular value of the matrix, the biggest extension of uncertainty is found; Sufficient conditions for the existence of a control law and an upper bound of cost function for the closed-loop system are given in terms of linear matrix inequality (LMI). It is proved that such an optimal fuzzy guaranteed cost control law exists is equivalent to the feasibility of a group. And also, a procedure is given to select an optimal fuzzy guaranteed cost controller in sense of minimizing the upper bound of quadratic performance index.

Original languageEnglish
Title of host publicationProceedings of 2004 International Conference on Machine Learning and Cybernetics
Pages471-474
Number of pages4
StatePublished - 2004
EventProceedings of 2004 International Conference on Machine Learning and Cybernetics - Shanghai, China
Duration: 26 Aug 200429 Aug 2004

Publication series

NameProceedings of 2004 International Conference on Machine Learning and Cybernetics
Volume1

Conference

ConferenceProceedings of 2004 International Conference on Machine Learning and Cybernetics
Country/TerritoryChina
CityShanghai
Period26/08/0429/08/04

Keywords

  • Guaranteed cost control
  • Robust bound
  • T-S fuzzy model
  • Uncertain time-delay system

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