New delay-dependent stability analysis and stabilizing design for T-S fuzzy systems with a time-varying delay

Fang Liu, Min Wu, Yong He, Yicheng Zhou, Ryuichi Yokoyama

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

    3 Citations (Scopus)

    Abstract

    This paper focuses on the asymptotic stability and the state feedback control for T-S fuzzy systems with a time-varying delay by employing an improved free-weighting matrix approach. By taking the relationship among the time-varying delay, its upper bound and their difference into account, a new less conservative delay-dependent stability criteria are obtained without ignoring any useful terms in the derivative of Lyapunov-Krasovskii functional. As a result, a design method of a state feedback controller is formulated for T-S fuzzy systems with a time-varying delay based on the result of stability analysis. Finally, two numerical examples are given to demonstrate the effectiveness and the merits of the proposed methods.

    Original languageEnglish
    Title of host publicationProceedings of the 27th Chinese Control Conference, CCC
    Pages340-344
    Number of pages5
    DOIs
    Publication statusPublished - 2008
    Event27th Chinese Control Conference, CCC - Kunming, Yunnan
    Duration: 2008 Jul 162008 Jul 18

    Other

    Other27th Chinese Control Conference, CCC
    CityKunming, Yunnan
    Period08/7/1608/7/18

    Keywords

    • Asymptotic stability
    • Design method
    • State feedback
    • T-S fuzzy systems
    • Time-varying delay

    ASJC Scopus subject areas

    • Control and Systems Engineering

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  • Cite this

    Liu, F., Wu, M., He, Y., Zhou, Y., & Yokoyama, R. (2008). New delay-dependent stability analysis and stabilizing design for T-S fuzzy systems with a time-varying delay. In Proceedings of the 27th Chinese Control Conference, CCC (pp. 340-344). [4605411] https://doi.org/10.1109/CHICC.2008.4605411