H∞ control of systems with a single delay via reduction to a one-block problem

Gjerrit Meinsma, Leonid Mirkin, Qing-Chang Zhong

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

    4 Citations (Scopus)
    41 Downloads (Pure)

    Abstract

    The standard (4-block) H∞ control problem for systems with a single loop delay is studied. A simple procedure of the reduction of the problem to an equivalent one-block problem having particularly simple structure is proposed. The one-block problem is then solved by the J-spectral factorization approach, resulting in the so-called dead-time compensator (DTC) form of the controller. The advantages of the proposed procedure are its simplicity, intuitively clear derivation of the DTC form of the H∞ controller, and extensibility to the multiple delay case.
    Original languageEnglish
    Title of host publicationProceedings of the 41st IEEE Conference on Decision and Control, 2002
    Place of PublicationLas Vegas, Nevada, U.S.A
    PublisherIEEE
    Pages3458-3463
    Number of pages6
    ISBN (Print)0780375173
    DOIs
    Publication statusPublished - 10 Dec 2002
    Event41st IEEE Conference on Decision and Control, CDC 2002 - Las Vegas, United States
    Duration: 10 Dec 200213 Dec 2002
    Conference number: 41

    Publication series

    Name
    PublisherIEEE
    Volume3

    Conference

    Conference41st IEEE Conference on Decision and Control, CDC 2002
    Abbreviated titleCDC
    CountryUnited States
    CityLas Vegas
    Period10/12/0213/12/02

    Keywords

    • IR-44925
    • METIS-210851

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