Global stabilization of the discrete-time double integrator using a saturated linear state feedback controller

Tao Yang, Antonie Arij Stoorvogel, Ali Saberi

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    3 Citations (Scopus)

    Abstract

    This paper further studies the discrete-time double integrator. Earlier it has been shown by us that there exists a class of locally stabilizing saturated linear state feedbacks which cause periodic behavior for certain initial conditions and hence the closed-loop system is then not globally asymptotically stable. In this paper, we show that all the remaining locally stabilizing saturated linear state feedbacks globally stabilize the discretetime double integrator.
    Original languageUndefined
    Title of host publicationProceedings of the American Control Conference, ACC 2011
    Place of PublicationUSA
    PublisherIEEE CONTROL SYSTEMS SOCIETY
    Pages4440-4445
    Number of pages6
    ISBN (Print)978-1-4577-0080-4
    Publication statusPublished - Jun 2011
    Event2011 American Control Conference, ACC 2011 - San Francisco, United States
    Duration: 29 Jun 20111 Jul 2011

    Publication series

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

    Conference

    Conference2011 American Control Conference, ACC 2011
    Abbreviated titleACC
    CountryUnited States
    CitySan Francisco
    Period29/06/111/07/11

    Keywords

    • IR-78313
    • EWI-20709
    • METIS-279211

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