2008 47th IEEE Conference on Decision and Control 2008
DOI: 10.1109/cdc.2008.4739069
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Controller synthesis for L<inf>2</inf> behaviors using rational kernel representations

Abstract: Abstract-This paper considers the controller synthesis problem for the class of linear time-invariant L2 behaviors. We introduce classes of LTI L2 systems whose behavior can be represented as the kernel of a rational operator. Given a plant and a controlled system in this class, an algorithm is developed that produces a rational kernel representation of a controller that, when interconnected with the plant, realizes the controlled system. This result generalizes similar synthesis algorithms in the behavioral f… Show more

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Cited by 4 publications
(4 citation statements)
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“…In this section, behaviors of dynamical systems are defined as closed subspaces of L 2 , H + 2 and H − 2 represented by the null spaces of rational operators (Mutsaers & Weiland, 2008). Behavioral inclusion, equivalence and elimination of variables will be discussed in terms of rational operators.…”
Section: Equivalence and Elimination For Rational Representationsmentioning
confidence: 99%
“…In this section, behaviors of dynamical systems are defined as closed subspaces of L 2 , H + 2 and H − 2 represented by the null spaces of rational operators (Mutsaers & Weiland, 2008). Behavioral inclusion, equivalence and elimination of variables will be discussed in terms of rational operators.…”
Section: Equivalence and Elimination For Rational Representationsmentioning
confidence: 99%
“…This class of systems has been studied in [3] and we will refer to them as L 2 systems. A precise definition of the model class is given below.…”
Section: Problem Formulationmentioning
confidence: 99%
“…The results in the remainder of this paper can also be obtained for behaviors containing L 2 or H − 2 trajectories. It is also possible to represent the behaviors of L 2 systems as null spaces of operators in RH + ∞ [2], [3].…”
Section: Theorem 41 (Elimination In C ∞ Behaviors): Given Is the Latmentioning
confidence: 99%
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