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Optimal Control via Factorization and Model Matching

Encyclopedia of Systems and Control

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Abstract

One approach to linear control system design involves the matching of certain input-output models with respect to a quantification of closed-loop performance. The approach is based on a parametrization of all stabilizing feedback controllers, which relies on the existence of coprime factorizations of the plant model. This parametrization and spectral factorization methods for solving model-matching problems are described within the context of impulse-response energy and worst-case energy-gain measures of controller performance.

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Authors and Affiliations

  1. University of Melbourne, 3010, Parkville, Australia

    Michael Cantoni

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  1. Michael Cantoni
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Correspondence to Michael Cantoni .

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Editors and Affiliations

  1. Electrical and Computer Engineering, Boston University, Boston, Massachusetts, USA

    John Baillieul

  2. Automation and Control Solutions, Honeywell, Golden Valley, Minnesota, USA

    Tariq Samad

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© 2014 Springer-Verlag London

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Cantoni, M. (2014). Optimal Control via Factorization and Model Matching. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, London. https://doi.org/10.1007/978-1-4471-5102-9_206-1

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  • DOI: https://doi.org/10.1007/978-1-4471-5102-9_206-1

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  • Online ISBN: 978-1-4471-5102-9

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Chapter history

  1. Latest

    Optimal Control via Factorization and Model Matching
    Published:
    07 November 2019

    DOI: https://doi.org/10.1007/978-1-4471-5102-9_206-2

  2. Original

    Optimal Control via Factorization and Model Matching
    Published:
    02 October 2014

    DOI: https://doi.org/10.1007/978-1-4471-5102-9_206-1

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