A comparison between LQR control for a long string of SISO systems and LQR control of the infinite spatially invariant version

Ruth Curtain, O.V. Iftime, Heiko J. Zwart

    Research output: Contribution to journalArticleAcademicpeer-review

    17 Citations (Scopus)

    Abstract

    In this paper we consider a long string of SISO systems which in the limit becomes a scalar infinite spatially invariant system. We compare the LQR control for long-but-finite strings with the LQR control for the corresponding infinite strings. We give analytical and numerical examples where these are quite different and we investigate the cause. In addition, we obtain sufficient conditions for the LQR solutions to be similar as the length of the string increases.
    Original languageUndefined
    Pages (from-to)1604-1615
    Number of pages12
    JournalAutomatica
    Volume46
    Issue number10
    DOIs
    Publication statusPublished - Oct 2010

    Keywords

    • EWI-18947
    • MSC-93C25
    • Infinite-dimensional systems
    • Linear systems
    • IR-75071
    • Spatially distributed systems
    • Spatially invariant systems
    • METIS-276719
    • LQR control

    Cite this

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    abstract = "In this paper we consider a long string of SISO systems which in the limit becomes a scalar infinite spatially invariant system. We compare the LQR control for long-but-finite strings with the LQR control for the corresponding infinite strings. We give analytical and numerical examples where these are quite different and we investigate the cause. In addition, we obtain sufficient conditions for the LQR solutions to be similar as the length of the string increases.",
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    A comparison between LQR control for a long string of SISO systems and LQR control of the infinite spatially invariant version. / Curtain, Ruth; Iftime, O.V.; Zwart, Heiko J.

    In: Automatica, Vol. 46, No. 10, 10.2010, p. 1604-1615.

    Research output: Contribution to journalArticleAcademicpeer-review

    TY - JOUR

    T1 - A comparison between LQR control for a long string of SISO systems and LQR control of the infinite spatially invariant version

    AU - Curtain, Ruth

    AU - Iftime, O.V.

    AU - Zwart, Heiko J.

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    PY - 2010/10

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    AB - In this paper we consider a long string of SISO systems which in the limit becomes a scalar infinite spatially invariant system. We compare the LQR control for long-but-finite strings with the LQR control for the corresponding infinite strings. We give analytical and numerical examples where these are quite different and we investigate the cause. In addition, we obtain sufficient conditions for the LQR solutions to be similar as the length of the string increases.

    KW - EWI-18947

    KW - MSC-93C25

    KW - Infinite-dimensional systems

    KW - Linear systems

    KW - IR-75071

    KW - Spatially distributed systems

    KW - Spatially invariant systems

    KW - METIS-276719

    KW - LQR control

    U2 - 10.1016/j.automatica.2010.06.030

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