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 |
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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 | |
Publication status | Published - May 2008 |
Keywords
- Input–output partition
- Regularity
- EWI-15280
- Behavior
- IR-65458
- Canonical controller
- METIS-263811