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Linear State Feedback

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 contains important system information, and applying a control law that uses state information is a very powerful control policy. To illustrate the effect of feedback in linear systems, continuous-time and discrete-time state variable descriptions are used: these allow one to write explicitly the resulting closed-loop descriptions and to study the effect of feedback on the eigenvalues of the closed-loop system. The eigenvalue assignment problem is also discussed.

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Author information

Authors and Affiliations

  1. Department of Electrical Engineering, University of Notre Dame, 46556, Notre Dame IN, USA

    Panos Antsaklis

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

    Alessandro Astolfi

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

    Alessandro Astolfi

Authors
  1. Panos Antsaklis
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  2. Alessandro Astolfi
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Correspondence to Panos Antsaklis .

Editor information

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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Antsaklis, P., Astolfi, A. (2014). 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_196-1

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

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  • Publisher Name: Springer, London

  • 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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