Tracking control design for positive T-S fuzzy systems under HPerformance

Lining Fu, Fucai Liu, Aiwen Meng*, H. K. Lam, Jilong Xu

*Corresponding author for this work

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

Abstract

This paper is dedicated to study the tracking control problem of the positive T-S Fuzzy systems under H∞ performance. Compared with general systems, the limitation of the positive systems will bring non-convex conditions into the stability analysis. In order to overcome the challenge brought by the transformation of non-convex conditions into convex conditions, a feasible solution is presented. In addition, by using the piecewise-linear membership functions (PLMFs) technology, more effective information of membership functions (MFs) is introduced, which effectively weakens the conservativeness of the stability conditions and achieves satisfactory tracking results. Ultimately, a simulation example is shown to confirm the reliability of the design method.

Original languageEnglish
Title of host publicationFuzzy Systems and Data Mining VII - Proceedings of FSDM 2021
EditorsAntonio J. Tallon-Ballesteros
PublisherIOS Press BV
Pages257-263
Number of pages7
ISBN (Electronic)9781643682143
DOIs
Publication statusPublished - 14 Oct 2021
Event7th International Conference on Fuzzy Systems and Data Mining, FSDM 2021 - Virtual, Online, Korea, Republic of
Duration: 26 Oct 202129 Oct 2021

Publication series

NameFrontiers in Artificial Intelligence and Applications
PublisherIOS Press
ISSN (Print)0922-6389

Conference

Conference7th International Conference on Fuzzy Systems and Data Mining, FSDM 2021
Country/TerritoryKorea, Republic of
CityVirtual, Online
Period26/10/202129/10/2021

Keywords

  • HPerformance
  • PLMFs
  • Positive T-S Fuzzy Systems
  • Tracking Control

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