Interpolatory weighted-H-2 model reduction

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Date

2013-05-01

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Pergamon-Elsevier

Abstract

This paper introduces an interpolation framework for the weighted-H2 model reduction problem. We obtain a new representation of the weighted-H2 norm of SISO systems that provides new interpolatory first order necessary conditions for an optimal reduced-order model. The H2 norm representation also provides an error expression that motivates a new weighted-H2 model reduction algorithm. Several numerical examples illustrate the effectiveness of the proposed approach.

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Keywords

Technology, Automation & Control Systems, Engineering, Electrical & Electronic, Engineering, Model reduction, Rational interpolation, Feedback control, Weighted model reduction, Weighted-H-2 approximation, CONTROLLER REDUCTION, BALANCED TRUNCATION, APPROXIMATION, PROJECTION

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http://hdl.handle.net/10919/74335

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Scholarly Works, Mathematics