Exact solutions to fuzzy PD-LMIs via SOS

Ji Chang Lo, Ming Zhe Liu

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

5 Scopus citations

Abstract

Based on recent results on Sum of Squares (SOS) to polynomial theory, we address exact relaxation to quadratic stability arisen from stability analysis and controller synthesis in the fuzzy control systems represented by TS models. In this paper we show how to characterize the exact solution to the quadratic stability and by approximating the cone of copositive matrices via SOS that is solvable by SOSTOOLS. Certificate of convergence of such copositive relaxation is provided. Examples from current results are provided to illustrate our approach. It is shown that SOS relaxations can characterize exactness of the decision problems.

Original languageEnglish
Title of host publication2010 IEEE World Congress on Computational Intelligence, WCCI 2010
DOIs
StatePublished - 2010
Event2010 6th IEEE World Congress on Computational Intelligence, WCCI 2010 - Barcelona, Spain
Duration: 18 Jul 201023 Jul 2010

Publication series

Name2010 IEEE World Congress on Computational Intelligence, WCCI 2010

Conference

Conference2010 6th IEEE World Congress on Computational Intelligence, WCCI 2010
Country/TerritorySpain
CityBarcelona
Period18/07/1023/07/10

Keywords

  • Exact solutions
  • Linear matrix inequality (LMI)
  • Sum of Squares (SOS)
  • TS fuzzy models

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