Polynomial solutions to H∞ problems

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    Abstract

    The paper presents a polynomial solution to the standard H∞-optimal control problem. Based on two polynomial J-spectral factorization problems, a parameterization of all suboptimal compensators is obtained. A bound on the McMillan degree of suboptimal compensators is derived and an algorithm is formulated that may be used to solve polynomial J-spectral factorization problems.
    Original languageUndefined
    Pages (from-to)323-351
    JournalInternational journal of robust and nonlinear control
    Volume4
    Issue number3
    DOIs
    Publication statusPublished - 1994

    Keywords

    • IR-71072
    • Polynomial methods
    • J-spectral factorization
    • H∞-optimization
    • McMillan degree

    Cite this

    @article{6b65e1fe681d4255b3a9156f553542a5,
    title = "Polynomial solutions to H∞ problems",
    abstract = "The paper presents a polynomial solution to the standard H∞-optimal control problem. Based on two polynomial J-spectral factorization problems, a parameterization of all suboptimal compensators is obtained. A bound on the McMillan degree of suboptimal compensators is derived and an algorithm is formulated that may be used to solve polynomial J-spectral factorization problems.",
    keywords = "IR-71072, Polynomial methods, J-spectral factorization, H∞-optimization, McMillan degree",
    author = "Gjerrit Meinsma",
    year = "1994",
    doi = "10.1002/rnc.4590040302",
    language = "Undefined",
    volume = "4",
    pages = "323--351",
    journal = "International journal of robust and nonlinear control",
    issn = "1049-8923",
    publisher = "Wiley",
    number = "3",

    }

    Polynomial solutions to H∞ problems. / Meinsma, Gjerrit.

    In: International journal of robust and nonlinear control, Vol. 4, No. 3, 1994, p. 323-351.

    Research output: Contribution to journalArticleAcademic

    TY - JOUR

    T1 - Polynomial solutions to H∞ problems

    AU - Meinsma, Gjerrit

    PY - 1994

    Y1 - 1994

    N2 - The paper presents a polynomial solution to the standard H∞-optimal control problem. Based on two polynomial J-spectral factorization problems, a parameterization of all suboptimal compensators is obtained. A bound on the McMillan degree of suboptimal compensators is derived and an algorithm is formulated that may be used to solve polynomial J-spectral factorization problems.

    AB - The paper presents a polynomial solution to the standard H∞-optimal control problem. Based on two polynomial J-spectral factorization problems, a parameterization of all suboptimal compensators is obtained. A bound on the McMillan degree of suboptimal compensators is derived and an algorithm is formulated that may be used to solve polynomial J-spectral factorization problems.

    KW - IR-71072

    KW - Polynomial methods

    KW - J-spectral factorization

    KW - H∞-optimization

    KW - McMillan degree

    U2 - 10.1002/rnc.4590040302

    DO - 10.1002/rnc.4590040302

    M3 - Article

    VL - 4

    SP - 323

    EP - 351

    JO - International journal of robust and nonlinear control

    JF - International journal of robust and nonlinear control

    SN - 1049-8923

    IS - 3

    ER -