Optimal and Robust Feedback Controller Estimation for a Vibrating Plate using Subspace Model Identification

P.R. Fraanje, M.H.G. Verhaegen, Niek Doelman, Arthur P. Berkhoff

    Research output: Contribution to journalArticleAcademicpeer-review

    18 Citations (Scopus)

    Abstract

    This paper presents a method to estimate the H2 optimal and a robust feedback controller by means of Subspace Model Identification using the internal model control (IMC) approach. Using IMC an equivalent feed forward control problem is obtained, which is solved by the Causal Wiener filter for the H2 optimal controller. The robust variant, called the Cautious Wiener filter, optimizes the average performance w.r.t. probabilistic model errors. The identification of the Causal and Cautious Wiener filters are control-relevant. The method is illustrated by experiments on a 4-inputs 4-outputs vibrating plate with additional mass variation.
    Original languageUndefined
    Pages (from-to)1017-1028
    Number of pages12
    JournalControl engineering practice
    Volume12
    Issue number8
    DOIs
    Publication statusPublished - Aug 2004

    Keywords

    • IR-75706
    • METIS-221572
    • EWI-13319
    • Subspace methods
    • State space
    • Wiener filter
    • Robust control
    • Active control

    Cite this

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    title = "Optimal and Robust Feedback Controller Estimation for a Vibrating Plate using Subspace Model Identification",
    abstract = "This paper presents a method to estimate the H2 optimal and a robust feedback controller by means of Subspace Model Identification using the internal model control (IMC) approach. Using IMC an equivalent feed forward control problem is obtained, which is solved by the Causal Wiener filter for the H2 optimal controller. The robust variant, called the Cautious Wiener filter, optimizes the average performance w.r.t. probabilistic model errors. The identification of the Causal and Cautious Wiener filters are control-relevant. The method is illustrated by experiments on a 4-inputs 4-outputs vibrating plate with additional mass variation.",
    keywords = "IR-75706, METIS-221572, EWI-13319, Subspace methods, State space, Wiener filter, Robust control, Active control",
    author = "P.R. Fraanje and M.H.G. Verhaegen and Niek Doelman and Berkhoff, {Arthur P.}",
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    Optimal and Robust Feedback Controller Estimation for a Vibrating Plate using Subspace Model Identification. / Fraanje, P.R.; Verhaegen, M.H.G.; Doelman, Niek; Berkhoff, Arthur P.

    In: Control engineering practice, Vol. 12, No. 8, 08.2004, p. 1017-1028.

    Research output: Contribution to journalArticleAcademicpeer-review

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    T1 - Optimal and Robust Feedback Controller Estimation for a Vibrating Plate using Subspace Model Identification

    AU - Fraanje, P.R.

    AU - Verhaegen, M.H.G.

    AU - Doelman, Niek

    AU - Berkhoff, Arthur P.

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    AB - This paper presents a method to estimate the H2 optimal and a robust feedback controller by means of Subspace Model Identification using the internal model control (IMC) approach. Using IMC an equivalent feed forward control problem is obtained, which is solved by the Causal Wiener filter for the H2 optimal controller. The robust variant, called the Cautious Wiener filter, optimizes the average performance w.r.t. probabilistic model errors. The identification of the Causal and Cautious Wiener filters are control-relevant. The method is illustrated by experiments on a 4-inputs 4-outputs vibrating plate with additional mass variation.

    KW - IR-75706

    KW - METIS-221572

    KW - EWI-13319

    KW - Subspace methods

    KW - State space

    KW - Wiener filter

    KW - Robust control

    KW - Active control

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