Parametrization of the regular equivalences of the canonical controller and its applications

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dc.creatorJulius, A. A.
dc.creatorPolderman, J. W.
dc.creatorvan der Schaft, A. J.
dc.date2007-08-09
dc.date2007-09-24
dc.date.accessioned2026-07-07T08:31:18Z
dc.date.available2026-07-07T08:31:18Z
dc.descriptionWe 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 be a solution whenever a solution exists. However, it has been shown that in most cases, the canonical controller is not regular. The main result of the paper 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 channels 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 that does the controller design.
dc.descriptionsubmitted to IEEE Trans. Automatic Control. The title has been changed from the previous arXiv version to avoid confusion with the submitted version
dc.identifierhttps://arxiv.org/abs/0708.1309
dc.identifierhttp://arxiv.org/abs/0708.1309
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138464
dc.subjectOptimization and Control
dc.subject93B03, 93B10, 93B25, 93B50, 93B52
dc.titleParametrization of the regular equivalences of the canonical controller and its applications
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