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Optimization-Based Control Design Techniques and Tools

Encyclopedia of Systems and Control

Abstract

Structured output feedback controller synthesis is an exciting new concept in modern control design, which bridges between theory and practice insofar as it allows for the first time to apply sophisticated mathematical design paradigms like H ∞ or H 2 control within control architectures preferred by practitioners. The new approach to structured H ∞ control, developed during the past decade, is rooted in a change of paradigm in the synthesis algorithms. Structured design may no longer be based on solving algebraic Riccati equations or matrix inequalities. Instead, optimization-based design techniques are required. In this essay we indicate why structured controller synthesis is central in modern control engineering. We explain why non-smooth optimization techniques are needed to compute structured control laws, and we point to software tools which enable practitioners to use these new tools in high-technology applications.

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Author information

Authors and Affiliations

  1. DCSD, ONERA – The French Aerospace Lab, Toulouse, France

    Pierre Apkarian

  2. Institut de Mathématiques, Université de Toulouse, Toulouse, France

    Dominikus Noll

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  1. Pierre Apkarian
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  2. Dominikus Noll
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Corresponding author

Correspondence to Pierre Apkarian .

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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© 2013 Springer-Verlag London

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Apkarian, P., Noll, D. (2013). Optimization-Based Control Design Techniques and Tools. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, London. https://doi.org/10.1007/978-1-4471-5102-9_144-1

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  • DOI: https://doi.org/10.1007/978-1-4471-5102-9_144-1

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  • Online ISBN: 978-1-4471-5102-9

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Chapter history

  1. Latest

    Optimization-Based Control Design Techniques and Tools
    Published:
    09 December 2019

    DOI: https://doi.org/10.1007/978-1-4471-5102-9_144-2

  2. Original

    Optimization-Based Control Design Techniques and Tools
    Published:
    22 March 2014

    DOI: https://doi.org/10.1007/978-1-4471-5102-9_144-1

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