Stabilization of discrete-time linear systems subject to input saturation and multiple unknown constant delays

Xu Wang, Ali Saberi, Antonie Arij Stoorvogel

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    1 Citation (Scopus)

    Abstract

    In this paper, we study the semi-global stabilization of general linear discrete-time critically unstable systems subject to input saturation and multiple unknown input delays. Based on a simple frequency-domain stability criterion, we find upper bounds for delays that are inversely proportional to the argument of open-loop eigenvalues on the unit circle. For delays satisfying these upper bounds, linear low-gain state and finite dimensional dynamic measurement feedbacks are constructed to solve the semi-global stabilization problems.
    Original languageUndefined
    Title of host publicationProceedings of the 2013 American Control Conference (ACC)
    Place of PublicationUSA
    PublisherIEEE CONTROL SYSTEMS SOCIETY
    Pages960-965
    Number of pages6
    ISBN (Print)978-1-4799-0177-7
    Publication statusPublished - 2013
    Event2013 American Control Conference, ACC 2013 - Washington, United States
    Duration: 17 Jun 201319 Jun 2013

    Publication series

    Name
    PublisherIEEE Control Systems Society
    ISSN (Print)0743-1619

    Conference

    Conference2013 American Control Conference, ACC 2013
    Abbreviated titleACC
    CountryUnited States
    CityWashington
    Period17/06/1319/06/13

    Keywords

    • EWI-23773
    • METIS-300043
    • IR-87386

    Cite this

    Wang, X., Saberi, A., & Stoorvogel, A. A. (2013). Stabilization of discrete-time linear systems subject to input saturation and multiple unknown constant delays. In Proceedings of the 2013 American Control Conference (ACC) (pp. 960-965). USA: IEEE CONTROL SYSTEMS SOCIETY.