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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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
Title of host publicationIEEE International Symposium on Intelligent Control - Proceedings
Pages310-315
Number of pages6
Publication statusPublished - 2004
EventProceedings of the 2004 IEEE International Symposium on Intelligent Control - 2004 ISIC - Taipei
Duration: 2004 Sep 22004 Sep 4

Other

OtherProceedings of the 2004 IEEE International Symposium on Intelligent Control - 2004 ISIC
CityTaipei
Period04/9/204/9/4

Fingerprint

Fuzzy systems
Lyapunov functions

ASJC Scopus subject areas

  • Hardware and Architecture
  • Control and Systems Engineering

Cite this

Zhai, G., & Chen, X. (2004). Stability and ℋ disturbance attenuation analysis for symmetric takagi-sugeno fuzzy systems. In IEEE International Symposium on Intelligent Control - Proceedings (pp. 310-315)

Stability and ℋ disturbance attenuation analysis for symmetric takagi-sugeno fuzzy systems. / Zhai, Guisheng; Chen, Xinkai.

IEEE International Symposium on Intelligent Control - Proceedings. 2004. p. 310-315.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Zhai, G & Chen, X 2004, Stability and ℋ disturbance attenuation analysis for symmetric takagi-sugeno fuzzy systems. in IEEE International Symposium on Intelligent Control - Proceedings. pp. 310-315, Proceedings of the 2004 IEEE International Symposium on Intelligent Control - 2004 ISIC, Taipei, 04/9/2.
Zhai G, Chen X. Stability and ℋ disturbance attenuation analysis for symmetric takagi-sugeno fuzzy systems. In IEEE International Symposium on Intelligent Control - Proceedings. 2004. p. 310-315
Zhai, Guisheng ; Chen, Xinkai. / Stability and ℋ disturbance attenuation analysis for symmetric takagi-sugeno fuzzy systems. IEEE International Symposium on Intelligent Control - Proceedings. 2004. pp. 310-315
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