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Optimal Model Reduction with a Frequency Weighted Extension

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Dynamics and Control

Abstract

Inthis paper, a model reduction technique based on optimizationis presented. The objective function minimized is the impulseenergy of the overall system. An extension of the technique tothe frequency weighted case is also presented, where single-sidedor double-sided weightings can be incorporated in the reductionprocedure. The paper proposes an alternative to find an optimizationsolution by solving ordinary differential equations which aregradient flow associated with the objective function to be minimized.Two examples are presented to illustrate the effectiveness ofthe method.

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Authors and Affiliations

  1. Department of Electrical and Electronic Engineering, The University of Western Australia, Nedlands, W.A., 6907, Australia

    M. Diab & V. Sreeram

  2. School of Computing, Curtin University of Technology, WA, 6102, Australia

    W. Q. Liu

Authors
  1. M. Diab
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  2. W. Q. Liu
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  3. V. Sreeram
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Diab, M., Liu, W.Q. & Sreeram, V. Optimal Model Reduction with a Frequency Weighted Extension. Dynamics and Control 10, 255–276 (2000). https://doi.org/10.1023/A:1008366812002

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