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H2 Optimal Control

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Abstract

An optimization-based approach to linear feedback control system design uses the H2 norm, or energy of the impulse response, to quantify closed-loop performance. In this entry, an overview of state-space methods for solving H2 optimal control problems via Riccati equations and matrix inequalities is presented in a continuous-time setting. Both regular and singular problems are considered. Connections to so- called LQR and LQG control problems are also described.

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Author information

Authors and Affiliations

  1. Department of Mechanical and Automation Engineering, Chinese University of Hong Kong, Shatin/Hong Kong, China

    Ben M. Chen

Authors
  1. Ben M. Chen
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Corresponding author

Correspondence to Ben M. Chen .

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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Chen, B. (2020). H2 Optimal Control. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, London. https://doi.org/10.1007/978-1-4471-5102-9_204-2

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  • DOI: https://doi.org/10.1007/978-1-4471-5102-9_204-2

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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 Control
    Published:
    03 December 2019

    DOI: https://doi.org/10.1007/978-1-4471-5102-9_204-2

  2. Original

    Optimal Control
    Published:
    13 March 2014

    DOI: https://doi.org/10.1007/978-1-4471-5102-9_204-1

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