Receding horizon H∞ control of time-delay systems

Fatma Yildiz Tascikaraoglu, Levent Ucun*, Ibrahim B. Küçükdemiral

*Corresponding author for this work

    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 H∞ 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 H∞ 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
    DOIs
    Publication statusPublished - 1 May 2015

    Keywords

    • H8 optimization
    • time delay
    • predictive control

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