Robust predictive control using tight sets of predicted states

J. Schuurmans, J.A. Rossiter

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    77 Citations (Scopus)
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    Abstract

    A novel predictive controller for constrained linear time-varying systems with polytopic uncertainty is presented. The algorithm minimises an upper bound on the predicted quadratic cost function with respect to the first few future control moves and a feedback gain that completes the description of the predicted input trajectory. The optimisation problem is shown to be a convex problem which can be formulated as a linear-matrix-inequality (LMI) problem. Constraints are handled by posing necessary and sufficient conditions on the first few future control moves and a sufficient condition on the moves thereafter; these conditions are formulated in terms of additional LMIs. The algorithm is shown to be asymptotically stable. An example illustrates the efficiency of the method.
    Original languageEnglish
    Pages (from-to)13-18
    Number of pages6
    JournalIEE proceedings - Control theory and applications
    Volume147
    Issue number1
    DOIs
    Publication statusPublished - 2000

    Keywords

    • n/a OA procedure

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