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AN ALGORITHM FOR STATIC OUTPUT FEEDBACK SIMULTANEOUS STABILIZATION OF SCALAR PLANTS
Didier Henrion*,** Michael Šebek*** Vladimí Kučera***
* Laboratoire d’Analyse et d’Architecture des Systèmes
Centre National de la Recherche Scientifique
7 Avenue du Colonel Roche, 31 077 Toulouse, cedex 4, France.
Fax: +33 5 61 33 69 69. E-mail: henrion@laas.fr
** Institute of Information Theory and Automation
Academy of Sciences of the Czech Republic
Pod vodárenskou věží 4, 182 08 Praha, Czech Republic.
*** Center for Applied Cybernetics
Faculty of Electrical Engineering
Czech Technical University in Prague
Technická 2, 166 27 Praha 6, Czech Republic.
Static output feedback design and simultaneous stabilization are difficult control tasks for which no general efficient algorithm has been designed so far. In this note we show that, in the special case of scalar plants, the problem of simultaneous stabilization by static output feedback can however be solved in polynomial time using standard tools of numerical algebra.
Keywords: Linear systems, Static output feedback, Simultaneous stabilization, Polynomial approach, Computer-aided control systems design
Session slot T-Fr-M18: New achievements in polynomial methods for system control theory/Area code 2b : Linear Systems
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