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

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

    Research output: Contribution to journalArticleAcademicpeer-review

    5 Citations (Scopus)
    1 Downloads (Pure)

    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 open-loop 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 of 1.
    Original languageUndefined
    Article number10.1002/rnc.1517
    Pages (from-to)1353-1362
    Number of pages10
    JournalInternational journal of robust and nonlinear control
    Volume20
    Issue number12
    DOIs
    Publication statusPublished - Aug 2010

    Keywords

    • EWI-18093
    • IR-72389
    • METIS-270891

    Cite this