Decentralized control of discrete-time linear time invariant systems with input saturation

Ciprian Deliu, C. Deliu, Babak Malek, Sandip Roy, Ali Saberi, Antonie Arij Stoorvogel

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    Abstract

    We study decentralized stabilization of discrete time linear time invariant (LTI) systems subject to actuator saturation, using LTI controllers. The requirement of stabilization under both saturation constraints and decentralization impose obvious necessary conditions on the open-loop plant, namely that its eigenvalues are in the closed unit disk and further that the eigenvalues on the unit circle are not decentralized fixed modes. The key contribution of this work is to provide a broad sufficient condition for decentralized stabilization under saturation. Specifically, we show through an iterative argument that stabilization is possible whenever 1) the openloop eigenvalues are in the closed unit disk, 2) the eigenvalues on the unit circle are not decentralized fixed modes, and 3) these eigenvalues on the unit circle have algebraic multiplicity 1.
    Original languageUndefined
    Title of host publicationProceedings of the 2009 American Control Conference
    PublisherIEEE
    Pages2539-2544
    Number of pages6
    ISBN (Print)978-1-4244-4524-0
    DOIs
    Publication statusPublished - 10 Jun 2009
    Event2009 American Control Conference, ACC 2009 - St. Louis, United States
    Duration: 10 Jun 200912 Jun 2009

    Publication series

    Name
    PublisherIEEE
    ISSN (Print)0743-1619

    Conference

    Conference2009 American Control Conference, ACC 2009
    Abbreviated titleACC
    CountryUnited States
    CitySt. Louis
    Period10/06/0912/06/09

    Keywords

    • METIS-263880
    • EWI-15425
    • IR-65522

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