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Optimal Sampled-Data Control

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Encyclopedia of Systems and Control

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Abstract

This entry gives a brief overview on the modern development of sampled-data control. Sampled-data systems intrinsically involve a mixture of two different time sets, one continuous and the other discrete. Due to this, sampled-data systems cannot be characterized in terms of the standard notions of transfer functions, steady-state response, or frequency response. The technique of lifting resolves this difficulty and enables the recovery of such concepts and simplified solutions to sampled-data H∞ and H2 optimization problems. We review the lifting point of view and its application to such optimization problems and finally present an instructive numerical example.

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Acknowledgements

The author would like to thank Masaaki Nagahara and Masashi Wakaiki for their help in the numerical example references.

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Authors and Affiliations

  1. Graduate School of Informatics, Kyoto University, Kyoto 605-8501, Japan

    Yutaka Yamamoto

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  1. Yutaka Yamamoto
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Correspondence to Yutaka Yamamoto .

Editor information

Editors and Affiliations

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

    John Baillieul

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

    Tariq Samad

Section Editor information

  1. Department of Electrical & Electronic Engineering, The University of Melbourne, Parkville, VIC, Australia

    Michael Cantoni

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Yamamoto, Y. (2020). Optimal Sampled-Data Control. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, London. https://doi.org/10.1007/978-1-4471-5102-9_205-2

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  • DOI: https://doi.org/10.1007/978-1-4471-5102-9_205-2

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  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-5102-9

  • Online ISBN: 978-1-4471-5102-9

  • eBook Packages: Springer Reference EngineeringReference Module Computer Science and Engineering

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Chapter history

  1. Latest

    Optimal Sampled-Data Control
    Published:
    14 November 2019

    DOI: https://doi.org/10.1007/978-1-4471-5102-9_205-2

  2. Original

    Optimal Sampled-Data Control
    Published:
    24 March 2014

    DOI: https://doi.org/10.1007/978-1-4471-5102-9_205-1

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