Stabilizing control for discrete time multi-input bilinear systems

Beom Soo Kim, Young Joong Kim, Myo Taeg Lim, Byungwhan Kim

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

    6 Citations (Scopus)

    Abstract

    This paper presents two stabilizing control methods for discrete time bilinear systems. One is a stabilizing controller for single input systems, and the other is a generalized stabilizing control method for discrete time multi-input bilinear systems. The proposed control methods guarantee the stability for each closed loop systems with single-input case and multi-input case, respectively. This paper introduces a lemma used to extend the stabilizing control method which is useful to represent any bilinear systems as pure differential (difference) matrix equations. The proposed algorithms are verified by a numerical example.

    Original languageEnglish
    Title of host publicationIFAC Proceedings Volumes (IFAC-PapersOnline)
    EditorsGabriel Ferrate, Eduardo F. Camacho, Luis Basanez, Juan. A. de la Puente
    PublisherIFAC Secretariat
    Pages305-310
    Number of pages6
    Edition1
    ISBN (Print)9783902661746
    DOIs
    Publication statusPublished - 2002
    Event15th World Congress of the International Federation of Automatic Control, 2002 - Barcelona, Spain
    Duration: 2002 Jul 212002 Jul 26

    Publication series

    NameIFAC Proceedings Volumes (IFAC-PapersOnline)
    Number1
    Volume15
    ISSN (Print)1474-6670

    Other

    Other15th World Congress of the International Federation of Automatic Control, 2002
    Country/TerritorySpain
    CityBarcelona
    Period02/7/2102/7/26

    Bibliographical note

    Publisher Copyright:
    Copyright © 2002 IFAC.

    Keywords

    • Bilinear systems
    • Discrete-time systems
    • Lyapunov methods
    • Multi-input systems
    • Stabilization methods

    ASJC Scopus subject areas

    • Control and Systems Engineering

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