Another multiple Lyapunov function approach to stabilization of fuzzy systems

Jyh-Chin Juang, Shun Hung Chen

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

Abstract

The paper presents results on stability analysis and controller synthesis of Takagi-Sugeno (T-S) fuzzy systems. A T-S fuzzy model is known to be usable in modeling and control of a wide range of nonlinear systems. In the paper, the multiple Lyapunov functions method is applied to formulate a sufficient condition for the stability of a T-S fuzzy system. Unlike previous approaches, the paper adopts an assumption on the time-derivatives of membership functions that better reflects the activation of fuzzy rules. The stability criterion is established in terms of linear matrix inequalities (LMIs). These LMIs differ from existing ones by explicitly considering the role of the membership functions on governing the negative definiteness of the derivative of the Lyapunov function candidate. Controller design methods are also stated in terms of matrix inequalities. The stability analysis and controller design methods are illustrated in terms of simulation examples.

Original languageEnglish
Title of host publication2010 IEEE International Symposium on Intelligent Control, ISIC 2010
Pages458-463
Number of pages6
DOIs
Publication statusPublished - 2010 Nov 30
Event2010 IEEE International Symposium on Intelligent Control, ISIC 2010 - Yokohama, Japan
Duration: 2010 Sep 82010 Sep 10

Publication series

NameIEEE International Symposium on Intelligent Control - Proceedings

Other

Other2010 IEEE International Symposium on Intelligent Control, ISIC 2010
CountryJapan
CityYokohama
Period10-09-0810-09-10

All Science Journal Classification (ASJC) codes

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

Fingerprint Dive into the research topics of 'Another multiple Lyapunov function approach to stabilization of fuzzy systems'. Together they form a unique fingerprint.

  • Cite this

    Juang, J-C., & Chen, S. H. (2010). Another multiple Lyapunov function approach to stabilization of fuzzy systems. In 2010 IEEE International Symposium on Intelligent Control, ISIC 2010 (pp. 458-463). [5612928] (IEEE International Symposium on Intelligent Control - Proceedings). https://doi.org/10.1109/ISIC.2010.5612928