P.O.D. for linear systems

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    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

    Keywords

    • METIS-200910

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  • 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.