Membership Function-Dependent Local Controller Design for T-S Fuzzy Systems

Wen Bo Xie, Hua Zheng, Ming Yang Li, Choon Ki Ahn

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

For the conservatism issue of state-feedback control for Takagi-Sugeno (T-S) fuzzy systems, a novel local controller design method and stability analysis approach are proposed in this article. First, based on a membership function piecewise linearization technique, a local linear controller is proposed to form a closed-loop system. Then, a series of system stability conditions are derived using quadratic and piecewise function approaches. Further, with a designed fuzzy local controller and fuzzy Lyapunov function, less conservative stability conditions are obtained. Finally, a simulation example is adopted to make comparisons with existing and proposed methods. The results clearly show the conservatism reduction and excellent performance of the proposed approach.

Original languageEnglish
Pages (from-to)814-821
Number of pages8
JournalIEEE Transactions on Systems, Man, and Cybernetics: Systems
Volume52
Issue number2
DOIs
Publication statusPublished - 2022 Feb 1

Keywords

  • Conservatism
  • Takagi-Sugeno (T-S) fuzzy system
  • membership function (MF)
  • state feedback

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering
  • Human-Computer Interaction
  • Computer Science Applications
  • Electrical and Electronic Engineering

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