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On the Relation of Open Loop to Closed Loop Properties in Multivarible Feedback Systems

Douglas P. Looze, J.S. Freudenberg

Open publisher page 3 citations

Abstract

This paper relates the properties of the loop transfer function to the feedback properties of the closed loop system. The relationship is expressed using a parameterization of the singular value decomposition of the loop transfer function. Trade-offs and limits on the specification of these parameters are examined.

About this research paper

What this paper is about

This paper relates the properties of the loop transfer function to the feedback properties of the closed loop system. The relationship is expressed using a parameterization of the singular value decomposition of the loop transfer function. Trade-offs and limits on the specification of these parameters are examined.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This paper relates the properties of the loop transfer function to the feedback properties of the closed loop system. The relationship is expressed using a parameterization of the singular value decomposition of the loop transfer function. Trade-offs and limits on the specification of these parameters are examined.

Key concepts: Transfer function, Closed-loop transfer function, Loop (graph theory), Control theory (sociology), Feedback loop, Open-loop controller, Closed-loop pole, Closed loop

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