Stabilization of fuzzy systems with input and state delays

Ji Chang Lo, Yu Chi Wang

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

Abstract

In this study, a stabilization problem for continuous-time fuzzy systems subject to multiple time-varying delays in both state and input variables is addressed. Based on Lyapunov- Krasovskii functional and Pólya theorem, a sufficient stabilization condition is stated in terms of LMIs. Therefore, stabilizing controllers can be obtained easily with existing convex algorithms. Unlike existing methods, polynomial theory is used to deal with input-delay term u(t - σ(t)) since this delay term introduces an additional summation after defuzzification. Lastly, an example is given to illustrate the advantages of the proposed machinery, yielding more relaxed results when compared to existing methods.

Original languageEnglish
Title of host publication2010 IEEE International Symposium on Intelligent Control, ISIC 2010
Pages475-480
Number of pages6
DOIs
StatePublished - 2010
Event2010 IEEE International Symposium on Intelligent Control, ISIC 2010 - Yokohama, Japan
Duration: 8 Sep 201010 Sep 2010

Publication series

NameIEEE International Symposium on Intelligent Control - Proceedings

Conference

Conference2010 IEEE International Symposium on Intelligent Control, ISIC 2010
Country/TerritoryJapan
CityYokohama
Period8/09/1010/09/10

Keywords

  • Common P relaxation
  • Delay systems
  • Linear matrix inequality
  • Takagi-Sugeno fuzzy model

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