Parametrization of the regular equivalences of the canonical controller

Julius, A. A., Polderman, J. W. & Schaft, A. V. D., May-2008, In : IEEE Transactions on Automatic Control. 53, 4, p. 1032-1036 5 p.

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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 languageEnglish
Pages (from-to)1032-1036
Number of pages5
JournalIEEE Transactions on Automatic Control
Issue number4
Publication statusPublished - May-2008


  • behavior, canonical controller, input-output partition, regularity, SYSTEMS, IMPLEMENTABILITY

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