Robust H fuzzy control for a class of uncertain discrete fuzzy bilinear systems

Tzuu-Hseng S. Li, Shun Hung Tsai, Jia Zhen Lee, Ming Ying Hsiao, Chan Hong Chao

Research output: Contribution to journalArticlepeer-review

94 Citations (Scopus)

Abstract

The main theme of this paper is to present robust fuzzy controllers for a class of discrete fuzzy bilinear systems. First, the parallel distributed compensation method is utilized to design a fuzzy controller, which ensures the robust asymptotic stability of the closed-loop system and guarantees an H norm-bound constraint on disturbance attenuation for all admissible uncertainties. Second, based on the Schur complement and some variable transformations, the stability conditions of the overall fuzzy control system are formulated by linear matrix inequalities. Finally, the validity and applicability of the proposed schemes are demonstrated by a numerical simulation and the Van de Vusse example.

Original languageEnglish
Pages (from-to)510-527
Number of pages18
JournalIEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Volume38
Issue number2
DOIs
Publication statusPublished - 2008 Apr 1

All Science Journal Classification (ASJC) codes

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

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