Set-membership identification for adaptive control: Input design

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

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

    3 Citations (Scopus)

    Abstract

    An input design to guarantee the boundedness and the decreasing volume of the uncertainty set is proposed in the scenario of open-loop identification for control. The estimated system is described by a linear time-invariant SISO system of known order n with unknown-but-bounded modeling error in discrete time. Key in this approach is to consider a 2n-periodic input sequence and to establish sufficient conditions ensuring boundedness of the uncertainty set in finite time. An iterative input design involving a single design parameter leads then to an uncertainty set which uniformly decreases with time.
    Original languageEnglish
    Title of host publicationProceedings 42nd IEEE Conference on Decision and Control 2003
    Place of PublicationPiscataway, NJ
    PublisherIEEE
    Pages5011-5016
    Number of pages16
    Volume5
    ISBN (Print)0-7803-7925-X
    DOIs
    Publication statusPublished - 9 Dec 2003
    Event42nd IEEE Conference on Decision and Control, CDC 2003 - The Hyatt Regency Resort & Spa, Maui, United States
    Duration: 9 Dec 200312 Dec 2003
    Conference number: 42

    Conference

    Conference42nd IEEE Conference on Decision and Control, CDC 2003
    Abbreviated titleCDC
    CountryUnited States
    CityMaui
    Period9/12/0312/12/03

    Keywords

    • METIS-217810
    • IR-47389

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  • Cite this

    Cadic, M. A., Polderman, J. W., & Mareels, I. M. Y. (2003). Set-membership identification for adaptive control: Input design. In Proceedings 42nd IEEE Conference on Decision and Control 2003 (Vol. 5, pp. 5011-5016). Piscataway, NJ: IEEE. https://doi.org/10.1109/CDC.2003.1272424