Parametrization of the regular equivalences of the canonical controller

A.A.J. Anak Agung Julius; Jan W. Polderman; Arjan van der Schaft

doi:10.1109/TAC.2008.919515

Parametrization of the regular equivalences of the canonical controller

A.A.J. Anak Agung Julius, Jan W. Polderman, Arjan van der Schaft

Research output: Contribution to journal › Article › Academic › peer-review

10 Citations (Scopus)

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Abstract

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 language	Undefined
Article number	10.1109/TAC.2008.919515
Pages (from-to)	1032-1036
Number of pages	5
Journal	IEEE transactions on automatic control
Volume	53
Issue number	4
DOIs	https://doi.org/10.1109/TAC.2008.919515
Publication status	Published - May 2008

Keywords

Input–output partition
Regularity
EWI-15280
Behavior
IR-65458
Canonical controller
METIS-263811

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Anak Agung Julius, A. A. J., Polderman, J. W., & van der Schaft, A. (2008). Parametrization of the regular equivalences of the canonical controller. IEEE transactions on automatic control, 53(4), 1032-1036. [10.1109/TAC.2008.919515]. https://doi.org/10.1109/TAC.2008.919515

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