Parametrization of all stabilizing controllers subject to any structural constraint
Michael Rotkowitz
Abstract
Michael Rotkowitz
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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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)