Stability and ℋ disturbance attenuation analysis for symmetric takagi-sugeno fuzzy systems

Research output: Contribution to conferencePaper

Abstract

In this paper, we study the stability and ℋ disturbance attenuation properties for a class of Takagi-Sugeno fuzzy systems composed of a finite number of linear time-invariant symmetric subsystems. We focus our attention on discrete-time systems. We show that when all the subsystems are Schur stable, the fuzzy system is asymptotically stable under arbitrary IF-THEN rule. Furthermore, we show that when all the subsystems are Schur stable and have the- ℋ disturbance attenuation level less than a constant γ, the fuzzy system is asymptotically stable and achieves the ℋ disturbance attenuation level γ under arbitrary IF-THEN rule. The key idea for both stability and ℋ disturbance attenuation analysis in this paper is to establish a common Lyapunov function for all the subsystems in the fuzzy system.

Original languageEnglish
Pages310-315
Number of pages6
Publication statusPublished - 2004 Dec 1
EventProceedings of the 2004 IEEE International Symposium on Intelligent Control - 2004 ISIC - Taipei, Taiwan, Province of China
Duration: 2004 Sep 22004 Sep 4

Conference

ConferenceProceedings of the 2004 IEEE International Symposium on Intelligent Control - 2004 ISIC
CountryTaiwan, Province of China
CityTaipei
Period04/9/204/9/4

    Fingerprint

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Computer Science Applications
  • Electrical and Electronic Engineering

Cite this

Zhai, G., & Chen, X. (2004). Stability and ℋ disturbance attenuation analysis for symmetric takagi-sugeno fuzzy systems. 310-315. Paper presented at Proceedings of the 2004 IEEE International Symposium on Intelligent Control - 2004 ISIC, Taipei, Taiwan, Province of China.