On global external stochastic stabilization of linear systems with input saturation

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    Abstract

    We consider the problem of global external stochastic stabilization for linear plants with saturating ac- tuators, 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. Results for continuous-time open-loop critically stable plants have been obtained before. The goal of this paper is to extend this result to critically unstable plants. We view our contribution in this paper as a first critical step in solving the LQG control problem for linear systems subject to saturated inputs which is a research problem with a long history in our field.
    Original languageUndefined
    Title of host publicationAmerican Control Conference (ACC), 2014
    Place of PublicationUSA
    PublisherIEEE CONTROL SYSTEMS SOCIETY
    Pages2972-2976
    Number of pages6
    ISBN (Print)978-1-4799-3272-6
    DOIs
    Publication statusPublished - Jun 2014
    Event2014 American Control Conference, ACC 2014 - Portland, United States
    Duration: 4 Jun 20146 Jun 2014

    Publication series

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

    Conference

    Conference2014 American Control Conference, ACC 2014
    Abbreviated titleACC
    CountryUnited States
    CityPortland
    Period4/06/146/06/14

    Keywords

    • EWI-24941
    • IR-91495
    • METIS-305963

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