Adaptive LQ control: Conflict between identification and control

    Research output: Contribution to journalArticleAcademic

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    Abstract

    We consider one of the fundamental limitations of indirect adaptive control based on the minimization of a quadratic cost criterion and the certainty equivalence principle. We show that the interaction between (closed-loop) identification and optimal control is conflictive in the sense that almost all possible limits of the sequence of parameter estimates induce suboptimal behavior of the adaptively controlled system.
    Original languageUndefined
    Pages (from-to)219-244
    JournalLinear algebra and its applications
    Volume122-12
    DOIs
    Publication statusPublished - 1989

    Keywords

    • IR-70541

    Cite this

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    title = "Adaptive LQ control: Conflict between identification and control",
    abstract = "We consider one of the fundamental limitations of indirect adaptive control based on the minimization of a quadratic cost criterion and the certainty equivalence principle. We show that the interaction between (closed-loop) identification and optimal control is conflictive in the sense that almost all possible limits of the sequence of parameter estimates induce suboptimal behavior of the adaptively controlled system.",
    keywords = "IR-70541",
    author = "Polderman, {Jan W.}",
    year = "1989",
    doi = "10.1016/0024-3795(89)90654-X",
    language = "Undefined",
    volume = "122-12",
    pages = "219--244",
    journal = "Linear algebra and its applications",
    issn = "0024-3795",
    publisher = "Elsevier",

    }

    Adaptive LQ control: Conflict between identification and control. / Polderman, Jan W.

    In: Linear algebra and its applications, Vol. 122-12, 1989, p. 219-244.

    Research output: Contribution to journalArticleAcademic

    TY - JOUR

    T1 - Adaptive LQ control: Conflict between identification and control

    AU - Polderman, Jan W.

    PY - 1989

    Y1 - 1989

    N2 - We consider one of the fundamental limitations of indirect adaptive control based on the minimization of a quadratic cost criterion and the certainty equivalence principle. We show that the interaction between (closed-loop) identification and optimal control is conflictive in the sense that almost all possible limits of the sequence of parameter estimates induce suboptimal behavior of the adaptively controlled system.

    AB - We consider one of the fundamental limitations of indirect adaptive control based on the minimization of a quadratic cost criterion and the certainty equivalence principle. We show that the interaction between (closed-loop) identification and optimal control is conflictive in the sense that almost all possible limits of the sequence of parameter estimates induce suboptimal behavior of the adaptively controlled system.

    KW - IR-70541

    U2 - 10.1016/0024-3795(89)90654-X

    DO - 10.1016/0024-3795(89)90654-X

    M3 - Article

    VL - 122-12

    SP - 219

    EP - 244

    JO - Linear algebra and its applications

    JF - Linear algebra and its applications

    SN - 0024-3795

    ER -