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


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
JournalIEEE Transactions on Systems, Man, and Cybernetics: Systems
Publication statusAccepted/In press - 2020


  • Automation
  • Closed loop systems
  • Conservatism
  • Cybernetics
  • Fuzzy systems
  • Lyapunov methods
  • membership function (MF)
  • Piecewise linear approximation
  • Stability analysis
  • state feedback
  • Takagi-Sugeno (T-S) fuzzy system

ASJC Scopus subject areas

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


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