Finite-Time Composite Antidisturbance Control for T-S Fuzzy Nonhomogeneous Markovian Jump Systems via Asynchronous Disturbance Observer

Yao Wang, Shengyuan Xu, Choon Ki Ahn

    Research output: Contribution to journalArticlepeer-review

    22 Citations (Scopus)

    Abstract

    This article studies the finite-time composite antidisturbance control problem for nonhomogeneous Markovian jump systems (MJSs) subject to multiple disturbances via the Takagi-Sugeno (T-S) fuzzy control scheme. The designed two-gains disturbance observer (DO) and the considered MJSs are supposed to switch the different Markovian chains, which are depicted by a hidden Markovian model. Herein, an asynchronous DO design is explored for the first time, providing new insight into the construction of asynchronous DO. First, the H∞ /L2-L∞ finite-time boundedness of the augmented system is guaranteed. Second, based on the Finsler lemma, the linearization issue in calculating observer/controller gain is addressed. Finally, two illustrations are presented to verify the effectiveness of the proposed method.

    Original languageEnglish
    Pages (from-to)5051-5057
    Number of pages7
    JournalIEEE Transactions on Fuzzy Systems
    Volume30
    Issue number11
    DOIs
    Publication statusPublished - 2022 Nov 1

    Bibliographical note

    Publisher Copyright:
    © 1993-2012 IEEE.

    Keywords

    • Asynchronous disturbance observer
    • Takagi-Sugeno (T-S) fuzzy systems
    • finite-time control
    • nonhomogeneous Markovian chain

    ASJC Scopus subject areas

    • Control and Systems Engineering
    • Computational Theory and Mathematics
    • Artificial Intelligence
    • Applied Mathematics

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