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.


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    Title :

    Parametrization of the regular equivalences of the canonical controller


    Contributors:

    Publication date :

    2008-05-01


    Remarks:

    Julius , A A , Polderman , J W & Schaft , A V D 2008 , ' Parametrization of the regular equivalences of the canonical controller ' , IEEE Transactions on Automatic Control , vol. 53 , no. 4 , pp. 1032-1036 . https://doi.org/10.1109/TAC.2008.919515 ; ISSN:0018-9286



    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English



    Classification :

    DDC:    629



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