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Linear State Feedback

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Encyclopedia of Systems and Control

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Abstract

Feedback is a fundamental mechanism in nature and central in the control of systems. The state of a system contains important information about the system; hence feeding back the state is a powerful control policy. To illustrate the effect of feedback in linear systems, continuous- and discrete-time state-variable descriptions are used: these allow the resulting closed-loop descriptions to be explicitly written and the effect of feedback on the eigenvalues of the closed-loop system to be studied. The eigenvalue assignment problem is also discussed.

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Bibliography

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Author information

Authors and Affiliations

  1. Department of Electrical Engineering, University of Notre Dame, Notre Dame, IN, USA

    P. J. Antsaklis

  2. Department of Electrical and Electronic Engineering, Imperial College London, London, UK

    A. Astolfi

  3. Dipartimento di Ingegneria Civile e Ingegneria Informatica, Università di Roma Tor Vergata, Roma, Italy

    A. Astolfi

Authors
  1. P. J. Antsaklis
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  2. A. Astolfi
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Corresponding author

Correspondence to P. J. Antsaklis .

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 Engineering, University of Notre Dame, Notre Dame, IN, USA

    Panos J. Antsaklis

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Antsaklis, P., Astolfi, A. (2020). Linear State Feedback. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, London. https://doi.org/10.1007/978-1-4471-5102-9_196-2

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  • DOI: https://doi.org/10.1007/978-1-4471-5102-9_196-2

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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

    Linear State Feedback
    Published:
    08 January 2020

    DOI: https://doi.org/10.1007/978-1-4471-5102-9_196-2

  2. Original

    Linear State Feedback
    Published:
    06 March 2014

    DOI: https://doi.org/10.1007/978-1-4471-5102-9_196-1

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