Stability and stabilization of fuzzy large-scale systems

Wen June Wang, Leh Luoh

Research output: Contribution to journalArticlepeer-review

135 Scopus citations

Abstract

This paper investigates the stability and stabilization problems for the fuzzy large-scale system in which the system is composed of a number of Takagi-Sugeno fuzzy model subsystems with interconnections. The stability criterion of the fuzzy large-scale system without control is derived first. Instead of fuzzy parallel distributed compensation design, linear state feedback control is used in the stabilization work. Each local control is obtained from Riccati equation of the corresponding subsystem and the interconnection terms are used to determine the local feedback gain determination. Based on Lyapunov criterion, some conditions are derived under which the whole fuzzy large-scale system is stabilized asymptotically. A numerical example is given to illustrate the control design procedure and its effectiveness.

Original languageEnglish
Pages (from-to)309-315
Number of pages7
JournalIEEE Transactions on Fuzzy Systems
Volume12
Issue number3
DOIs
StatePublished - Jun 2004

Keywords

  • Fuzzy control
  • Large-scale system
  • Lyapunov criterion
  • Takagi-Sugeno (T-S) fuzzy model

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