Some remarks on the robustness of adaptive pole assignment

J.W. Polderman, I.M.Y. Mareels

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    Abstract

    The properties of a closed-loop system, subject to bounded disturbances, are analyzed when a pole placement control law is implemented on the basis of a model that cannot be falsified by the resulting input/output data. Such models are the best that can be obtained from any identification method driven by the prediction error in the closed-loop and given the uncertainty on the disturbance. In the absence of disturbances such a model would give to rise to closed-loop behavior as if the poles are assigned. However, if the presence of arbitrary small disturbances is assumed, such a result does not even hold approximately and only stability can be guaranteed; pole placement cannot be achieved. As a consequence, the system behavior is not continuous in the magnitude of the upper bound of the disturbances
    Original languageEnglish
    Title of host publicationProceedings of the 30th IEEE Conference on Decision and Control
    Subtitle of host publicationBrighton, England, December 1991
    Place of PublicationBrighton, U.K.
    PublisherIEEE
    Pages760-761
    Number of pages2
    Volume1
    ISBN (Print)9780780304505
    DOIs
    Publication statusPublished - 11 Dec 1991
    Event30th IEEE Conference on Decision and Control, CDC 1991 - Brighton, United Kingdom
    Duration: 11 Dec 199113 Dec 1991
    Conference number: 30

    Conference

    Conference30th IEEE Conference on Decision and Control, CDC 1991
    Abbreviated titleCDC
    CountryUnited Kingdom
    CityBrighton
    Period11/12/9113/12/91

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