On external semi-global stochastic stabilization of linear systems with input saturation

Antonie Arij Stoorvogel, Ali Saberi, Siep Weiland

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    14 Citations (Scopus)
    18 Downloads (Pure)

    Abstract

    This paper introduces the notion of external semiglobal stochastic stabilization for linear plants with saturating actuators, driven by a stochastic external disturbance, and having random Gaussian-distributed initial conditions. The aim of this stabilization is to control such plants by a possibly nonlinear static state feedback law that achieves global asymptotic stability in the absence of disturbances, while guaranteeing a bounded variance of the state vector for all time in the presence of disturbances and Gaussian distributed initial conditions. We report complete results for both continuous- and discrete-time open-loop critically stable plants.
    Original languageEnglish
    Title of host publicationProceedings of the 2007 American Control Conference
    Place of PublicationPiscataway, NJ
    PublisherIEEE CONTROL SYSTEMS SOCIETY
    Pages5845-5850
    Number of pages6
    ISBN (Print)1-4244-0989-6
    DOIs
    Publication statusPublished - Jul 2007
    Event2007 American Control Conference, ACC 2007 - New York, United States
    Duration: 11 Jul 200713 Jul 2007

    Conference

    Conference2007 American Control Conference, ACC 2007
    Abbreviated titleACC
    CountryUnited States
    CityNew York
    Period11/07/0713/07/07

    Keywords

    • EWI-10962
    • IR-64316
    • METIS-241865

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  • Cite this

    Stoorvogel, A. A., Saberi, A., & Weiland, S. (2007). On external semi-global stochastic stabilization of linear systems with input saturation. In Proceedings of the 2007 American Control Conference (pp. 5845-5850). Piscataway, NJ: IEEE CONTROL SYSTEMS SOCIETY. https://doi.org/10.1109/ACC.2007.4282930