2010•Unpublished venueRequires access

Parametrization of all stabilizing controllers subject to any structural constraint

Michael Rotkowitz

Open publisher page 8 citations

Abstract

We consider the problem of designing optimal stabilizing decentralized controllers subject to an arbitrary structural constraint, where each part of the controller has access to some measurements but not others. We develop a parametrization of the stabilizing structured controllers such that the objective is a convex function of the parameter, with the parameter subject to a single quadratic equality constraint.

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What this paper is about

We consider the problem of designing optimal stabilizing decentralized controllers subject to an arbitrary structural constraint, where each part of the controller has access to some measurements but not others. We develop a parametrization of the stabilizing structured controllers such that the objective is a convex function of the parameter, with the parameter subject to a single quadratic equality constraint.

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Available abstract

We consider the problem of designing optimal stabilizing decentralized controllers subject to an arbitrary structural constraint, where each part of the controller has access to some measurements but not others. We develop a parametrization of the stabilizing structured controllers such that the objective is a convex function of the parameter, with the parameter subject to a single quadratic equality constraint.

Key concepts: Parametrization (atmospheric modeling), Constraint (computer-aided design), Control theory (sociology), Quadratic equation, Mathematical optimization, Regular polygon, Controller (irrigation), Subject (documents)

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