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Polynomial/Algebraic Design Methods

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Abstract

Polynomial techniques have made important contributions to systems and control theory. Algebraic formalism offers several useful tools for control system design. In most cases, control systems are designed to be stable and to meet additional performance specifications, such as optimality or robustness. The basic tool is a parameterization of all controllers that stabilize a given plant. Optimal or robust controllers are then obtained by an appropriate selection of the parameter. An alternative tool is a reduction of controller synthesis to a solution of a polynomial equation of specific type. These two polynomial/algebraic approaches will be presented as closely related rather than isolated alternatives.

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Authors and Affiliations

  1. Faculty of Electrical Engineering, Czech Technical University of Prague, Prague, Czech Republic

    Vladimı́r Kučera

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  1. Vladimı́r Kučera
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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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Kučera, V. (2014). Polynomial/Algebraic Design Methods. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, London. https://doi.org/10.1007/978-1-4471-5102-9_239-1

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  • DOI: https://doi.org/10.1007/978-1-4471-5102-9_239-1

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  • Online ISBN: 978-1-4471-5102-9

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