Encyclopedia of Systems and Control

Living Edition
| Editors: John Baillieul, Tariq Samad

Polynomial/Algebraic Design Methods

  • Vladimı́r Kučera
Living reference work entry
DOI: https://doi.org/10.1007/978-1-4471-5102-9_239-1


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.


Linear systems Controller synthesis Youla-Kučera parameterization of stabilizing controllers Polynomial equation approach to control system design 
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© Springer-Verlag London 2014

Authors and Affiliations

  • Vladimı́r Kučera
    • 1
  1. 1.Faculty of Electrical Engineering, Czech Technical University of PraguePragueCzech Republic