P.O.D. for linear systems

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

    Abstract

    In this paper we show that for linear systems there is a strong relation between P.O.D. approximation and balanced truncation. Using this relation we obtain an error estimate for the P.O.D. approximation in the H∞-norm. A small H∞-norm is needed in order to guarantee that a controller design for the reduced system will perform well on the original system.
    Original languageEnglish
    Title of host publicationEuropean Control Conference (ECC 2001)
    Subtitle of host publication4-7 Sept. 2001
    EditorsJ.L. Martins de Carvalho, F.A.C.C. Fontes, M.D.R. de Pinho
    Place of PublicationPiscataway, NJ
    PublisherIEEE
    Pages2650-2653
    Number of pages4
    ISBN (Print)978-3-9524173-6-2
    Publication statusPublished - 4 Sep 2001
    Event2001 European Control Conference, ECC 2001 - Porto, Portugal
    Duration: 4 Sep 20017 Sep 2001

    Conference

    Conference2001 European Control Conference, ECC 2001
    Abbreviated titleECC
    CountryPortugal
    CityPorto
    Period4/09/017/09/01

    Fingerprint

    Linear Systems
    Balanced Truncation
    Norm
    Approximation
    Controller Design
    Error Estimates

    Keywords

    • METIS-200910

    Cite this

    Zwart, H. J. (2001). P.O.D. for linear systems. In J. L. Martins de Carvalho, F. A. C. C. Fontes, & M. D. R. de Pinho (Eds.), European Control Conference (ECC 2001): 4-7 Sept. 2001 (pp. 2650-2653). Piscataway, NJ: IEEE.
    Zwart, Heiko J. / P.O.D. for linear systems. European Control Conference (ECC 2001): 4-7 Sept. 2001. editor / J.L. Martins de Carvalho ; F.A.C.C. Fontes ; M.D.R. de Pinho. Piscataway, NJ : IEEE, 2001. pp. 2650-2653
    @inproceedings{b113b81441b2492ebc4e4d9ff885d699,
    title = "P.O.D. for linear systems",
    abstract = "In this paper we show that for linear systems there is a strong relation between P.O.D. approximation and balanced truncation. Using this relation we obtain an error estimate for the P.O.D. approximation in the H∞-norm. A small H∞-norm is needed in order to guarantee that a controller design for the reduced system will perform well on the original system.",
    keywords = "METIS-200910",
    author = "Zwart, {Heiko J.}",
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    Zwart, HJ 2001, P.O.D. for linear systems. in JL Martins de Carvalho, FACC Fontes & MDR de Pinho (eds), European Control Conference (ECC 2001): 4-7 Sept. 2001. IEEE, Piscataway, NJ, pp. 2650-2653, 2001 European Control Conference, ECC 2001, Porto, Portugal, 4/09/01.

    P.O.D. for linear systems. / Zwart, Heiko J.

    European Control Conference (ECC 2001): 4-7 Sept. 2001. ed. / J.L. Martins de Carvalho; F.A.C.C. Fontes; M.D.R. de Pinho. Piscataway, NJ : IEEE, 2001. p. 2650-2653.

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

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    N2 - In this paper we show that for linear systems there is a strong relation between P.O.D. approximation and balanced truncation. Using this relation we obtain an error estimate for the P.O.D. approximation in the H∞-norm. A small H∞-norm is needed in order to guarantee that a controller design for the reduced system will perform well on the original system.

    AB - In this paper we show that for linear systems there is a strong relation between P.O.D. approximation and balanced truncation. Using this relation we obtain an error estimate for the P.O.D. approximation in the H∞-norm. A small H∞-norm is needed in order to guarantee that a controller design for the reduced system will perform well on the original system.

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    BT - European Control Conference (ECC 2001)

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    Zwart HJ. P.O.D. for linear systems. In Martins de Carvalho JL, Fontes FACC, de Pinho MDR, editors, European Control Conference (ECC 2001): 4-7 Sept. 2001. Piscataway, NJ: IEEE. 2001. p. 2650-2653