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H2 Optimal Control

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Encyclopedia of Systems and 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 Electrical and Computer Engineering, National University of Singapore, Singapore, Singapore

    Ben M. Chen

Authors
  1. Ben M. Chen
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Editor information

Editors and Affiliations

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

    John Baillieul

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

    Tariq Samad

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© 2015 Springer-Verlag London

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Chen, B.M. (2015). H2 Optimal Control. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, London. https://doi.org/10.1007/978-1-4471-5058-9_204

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