Parametrization of the regular equivalences of the canonical controllerJulius, A. A., Polderman, J. W. & Schaft, A. V. D., May-2008, In : IEEE Transactions on Automatic Control. 53, 4, p. 1032-1036 5 p.
Research output: Contribution to journal › Article › Academic › peer-review
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.
|Number of pages||5|
|Journal||IEEE Transactions on Automatic Control|
|Publication status||Published - May-2008|
- behavior, canonical controller, input-output partition, regularity, SYSTEMS, IMPLEMENTABILITY
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