Stability analysis of T-S fuzzy-model-based control systems using fuzzy Lyapunov function

H. K. Lam, M. Narimani, J. C. Y. Lai, F. H. F. Leung

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

14 Citations (Scopus)

Abstract

This paper investigates the system stability of T-S fuzzy-model-based control systems based on an improved fuzzy Lyapunov function. Various non-PDC fuzzy controllers are proposed to close the feedback loop. The characteristic of T-S fuzzy model is considered to facilitate the stability analysis. Under a particular case, the time-derivative information of the membership functions vanishes, which simplifies the stability analysis and leads to relaxed stability analysis results. A general case is then considered. An improved non-PDC fuzzy controller is proposed based on the properties of the T-S fuzzy model. The improved non-PDC fuzzy controller exhibits a favourable property to relax the stability conditions. Based on the fuzzy Lyapunov function, stability conditions in terms of linear matrix inequalities are derived to guarantee the system stability. Simulation examples are given to illustrate the effectiveness of the proposed non-PDC fuzzy control schemes.
Original languageEnglish
Title of host publicationUnknown
Place of PublicationNEW YORK
PublisherIEEE
Pages931 - 938
Number of pages8
ISBN (Print)978-1-4244-1818-3
Publication statusPublished - 2008
EventIEEE International Conference on Fuzzy Systems - Hong Kong, PEOPLES R CHINA
Duration: 1 Jun 20086 Jun 2008

Publication series

Name2008 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-5

Conference

ConferenceIEEE International Conference on Fuzzy Systems
CityHong Kong, PEOPLES R CHINA
Period1/06/20086/06/2008

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