Parametrization of the regular equivalences of the canonical controller

A.A.J. Anak Agung Julius, Jan W. Polderman, Arjan van der Schaft

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    Abstract

    We study control problems for linear systems in the behavioral framework. Our focus is a class of regular controllers that are equivalent to the canonical controller. The canonical controller is a particular controller that is guaranteed to solve the control problem whenever a solution exists. However, it has been shown that, in most cases, the canonical controller is not regular. The main result of the note is a parametrization of all regular controllers that are equivalent to the canonical controller. The parametrization is then used to solve two control problems. The first problem is related to designing a regular controller that uses as few control variables as possible. The second problem is to design a regular controller that satisfies a predefined input-output partitioning constraint. In both problems, based on the parametrization, we present algorithms for designing the controllers.
    Original languageUndefined
    Article number10.1109/TAC.2008.919515
    Pages (from-to)1032-1036
    Number of pages5
    JournalIEEE transactions on automatic control
    Volume53
    Issue number4
    DOIs
    Publication statusPublished - May 2008

    Keywords

    • Input–output partition
    • Regularity
    • EWI-15280
    • Behavior
    • IR-65458
    • Canonical controller
    • METIS-263811

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