Encyclopedia of Systems and Control

Living Edition
| Editors: John Baillieul, Tariq Samad

Optimal Sampled-Data Control

  • Yutaka YamamotoEmail author
Living reference work entry

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

Keywords

Computer control Frequency response H∞ and H2 optimization Lifting Transfer operator 
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Notes

Acknowledgements

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

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Copyright information

© Springer-Verlag London Ltd., part of Springer Nature 2020

Authors and Affiliations

  1. 1.Graduate School of InformaticsKyoto UniversityKyoto 605-8501Japan

Section editors and affiliations

  • Michael Cantoni
    • 1
  1. 1.Department of Electrical & Electronic EngineeringThe University of MelbourneParkvilleAustralia