Receding Horizon H8 control of time-delay systems

Fatma Yildiz Tascikaraoglu, Levent Ucun, Ibrahim B. Küçükdemiral

    Research output: Contribution to journalArticle

    Abstract

    This paper deals with the disturbance rejection problem for discrete-time linear systems having time-varying state delays and control constraints. The study proposes a novel receding horizon H8 control method utilizing a linear matrix inequality based optimization algorithm which is solved in each step of run-time. The proposed controller attenuates disturbances having bounded energies on controlled output and ensures the closed-loop stability and dissipation while meeting the physical control input constraints. The originality of the work lies on the extension of the idea of the well-known H8 receding horizon control technique developed for linear discrete-time systems to interval time-delay systems having time-varying delays. The efficiency of the proposed method is illustrated through simulation studies that are carried out on a couple of benchmark problems.
    Original languageEnglish
    Pages (from-to)596-605
    Number of pages10
    JournalTransactions of the Institute of Measurement and Control
    Volume37
    Issue number5
    Early online date21 Jul 2014
    Publication statusPublished - 1 May 2015

    Fingerprint

    horizon
    Time delay
    time lag
    disturbances
    Disturbance rejection
    Time varying systems
    linear systems
    Linear matrix inequalities
    rejection
    Linear systems
    controllers
    dissipation
    intervals
    Controllers
    optimization
    output
    simulation
    energy

    Keywords

    • H8 optimization
    • time delay
    • predictive control

    Cite this

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    abstract = "This paper deals with the disturbance rejection problem for discrete-time linear systems having time-varying state delays and control constraints. The study proposes a novel receding horizon H8 control method utilizing a linear matrix inequality based optimization algorithm which is solved in each step of run-time. The proposed controller attenuates disturbances having bounded energies on controlled output and ensures the closed-loop stability and dissipation while meeting the physical control input constraints. The originality of the work lies on the extension of the idea of the well-known H8 receding horizon control technique developed for linear discrete-time systems to interval time-delay systems having time-varying delays. The efficiency of the proposed method is illustrated through simulation studies that are carried out on a couple of benchmark problems.",
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    Receding Horizon H8 control of time-delay systems. / Tascikaraoglu, Fatma Yildiz; Ucun, Levent; Küçükdemiral, Ibrahim B.

    In: Transactions of the Institute of Measurement and Control, Vol. 37, No. 5, 01.05.2015, p. 596-605.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - Receding Horizon H8 control of time-delay systems

    AU - Tascikaraoglu, Fatma Yildiz

    AU - Ucun, Levent

    AU - Küçükdemiral, Ibrahim B.

    PY - 2015/5/1

    Y1 - 2015/5/1

    N2 - This paper deals with the disturbance rejection problem for discrete-time linear systems having time-varying state delays and control constraints. The study proposes a novel receding horizon H8 control method utilizing a linear matrix inequality based optimization algorithm which is solved in each step of run-time. The proposed controller attenuates disturbances having bounded energies on controlled output and ensures the closed-loop stability and dissipation while meeting the physical control input constraints. The originality of the work lies on the extension of the idea of the well-known H8 receding horizon control technique developed for linear discrete-time systems to interval time-delay systems having time-varying delays. The efficiency of the proposed method is illustrated through simulation studies that are carried out on a couple of benchmark problems.

    AB - This paper deals with the disturbance rejection problem for discrete-time linear systems having time-varying state delays and control constraints. The study proposes a novel receding horizon H8 control method utilizing a linear matrix inequality based optimization algorithm which is solved in each step of run-time. The proposed controller attenuates disturbances having bounded energies on controlled output and ensures the closed-loop stability and dissipation while meeting the physical control input constraints. The originality of the work lies on the extension of the idea of the well-known H8 receding horizon control technique developed for linear discrete-time systems to interval time-delay systems having time-varying delays. The efficiency of the proposed method is illustrated through simulation studies that are carried out on a couple of benchmark problems.

    KW - H8 optimization

    KW - time delay

    KW - predictive control

    M3 - Article

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    JO - Transactions of the Institute of Measurement and Control

    JF - Transactions of the Institute of Measurement and Control

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