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

Antonie Arij Stoorvogel, Ali Saberi, Siep Weiland

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

    14 Citations (Scopus)
    15 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

    Fingerprint

    Linear systems
    Stabilization
    Asymptotic stability
    State feedback
    Actuators

    Keywords

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

    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
    Stoorvogel, Antonie Arij ; Saberi, Ali ; Weiland, Siep. / On external semi-global stochastic stabilization of linear systems with input saturation. Proceedings of the 2007 American Control Conference. Piscataway, NJ : IEEE CONTROL SYSTEMS SOCIETY, 2007. pp. 5845-5850
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    title = "On external semi-global stochastic stabilization of linear systems with input saturation",
    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.",
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    Stoorvogel, AA, 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. IEEE CONTROL SYSTEMS SOCIETY, Piscataway, NJ, pp. 5845-5850, 2007 American Control Conference, ACC 2007, New York, United States, 11/07/07. https://doi.org/10.1109/ACC.2007.4282930

    On external semi-global stochastic stabilization of linear systems with input saturation. / Stoorvogel, Antonie Arij; Saberi, Ali; Weiland, Siep.

    Proceedings of the 2007 American Control Conference. Piscataway, NJ : IEEE CONTROL SYSTEMS SOCIETY, 2007. p. 5845-5850.

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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    AB - 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.

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