Parametrization of the regular equivalences of the canonical controller and its applications
| Autor: | Julius, A. A., Polderman, J. W., van der Schaft, A. J. |
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| Rok vydání: | 2007 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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 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. Comment: submitted to IEEE Trans. Automatic Control. The title has been changed from the previous arXiv version to avoid confusion with the submitted version |
| Databáze: | arXiv |
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