Robust moving horizon H∞ control of discrete time-delayed systems with interval time-varying delays

F. Yildiz Tascikaraoglu, I. B. Kucukdemiral, J. Imura

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    3 Citations (Scopus)
    56 Downloads (Pure)


    In this study, design of a delay-dependent type moving horizon state-feedback control (MHHC) is considered for a class of linear discrete-time system subject to time-varying state delays, norm-bounded uncertainties, and disturbances with bounded energies. The closed-loop robust stability and robust performance problems are considered to overcome the instability and poor disturbance rejection performance due to the existence of parametric uncertainties and time-delay appeared in the system dynamics. Utilizing a discrete-time Lyapunov-Krasovskii functional, some delay-dependent linear matrix inequality (LMI) based conditions are provided. It is shown that if one can find a feasible solution set for these LMI conditions iteratively at each step of run-time, then we can construct a control law which guarantees the closed-loop asymptotic stability, maximum disturbance rejection performance, and closed-loop dissipativity in view of the actuator limitations. Two numerical examples with simulations on a nominal and uncertain discrete-time, time-delayed systems, are presented at the end, in order to demonstrate the efficiency of the proposed method.
    Original languageEnglish
    Article number462983
    Number of pages13
    JournalMathematical Problems in Engineering
    Publication statusPublished - 27 Aug 2014


    • moving horizon state-feedback control
    • MHHC
    • Lyapunov-Krasovskii functional
    • Linear matrix inequality

    ASJC Scopus subject areas

    • Engineering(all)


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