HOutput Anti-Disturbance Control of Stochastic Markov Jump Systems with Multiple Disturbances

Mouquan Shen, Hainan Zhang, Sing Kiong Nguang, Choon Ki Ahn

    Research output: Contribution to journalArticlepeer-review

    59 Citations (Scopus)

    Abstract

    This article is concerned with the anti-disturbance control for Markov jump systems with matched and mismatched disturbances. First, the matched part is estimated by an output-based disturbance observer. Meanwhile, the mismatched part is attenuated by the H_∞ controller. Therefore, a composite static output control scheme is built to make the closed-loop system stable with the required H_∞ performance. Second, an integral sliding-mode output (ISMO) control approach is proposed to restrain the mentioned disturbances by using the upper bounds of disturbances. Third, an ISMO anti-disturbance strategy is established to integrate the advantages of the above two methods. It is noteworthy to point out that the proposed output observer structure could be reduced to the state case. Moreover, the diagonal constraint on Lyapunov variables is removed in this article. Finally, a numerical example is simulated to validate the effectiveness of the proposed methods.

    Original languageEnglish
    Pages (from-to)7633-7643
    Number of pages11
    JournalIEEE Transactions on Systems, Man, and Cybernetics: Systems
    Volume51
    Issue number12
    DOIs
    Publication statusPublished - 2021 Dec 1

    Bibliographical note

    Publisher Copyright:
    © 2013 IEEE.

    Keywords

    • Anti-disturbance control
    • H∞ control
    • Markov jump systems (MJSs)

    ASJC Scopus subject areas

    • Software
    • Control and Systems Engineering
    • Human-Computer Interaction
    • Computer Science Applications
    • Electrical and Electronic Engineering

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