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Parameterization of All Output-Rectifying Retrofit Controllers

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Document pages: 8 pages

Abstract: This study investigates a parameterization of all output-rectifying retrofitcontrollers for distributed design of a structured controller. It has beendiscovered that all retrofit controllers can be characterized as a constrainedYoula parameterization, which is difficult to solve analytically. Forsynthesis, a tractable and insightful class of retrofit controllers, referredto as output-rectifying retrofit controllers, has been introduced. Anunconstrained parameterization of all output-rectifying retrofit controllerscan be derived under a technical assumption on measurability of particularsignals. The aim of this note is to reveal the structure of alloutput-rectifying retrofit controllers in the general output-feedback case. Itis found out that the existing developments can be generalized based on thenotions of state projection and an inverse system. The result leads to theconclusion that output-rectifying retrofit controllers can readily be designedeven in the general case.

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