On the effective computation of stabilizing controllers of 2D systems

Yacine Bouzidi (1, 2) , Thomas Cluzeau (3) , Alban Quadrat (1, 4) , Fabrice Rouillier (1)

1 OURAGAN - OUtils de Résolution Algébriques pour la Géométrie et ses ApplicatioNs
2 Inria Lille - Nord Europe
3 XLIM-MATHIS - Mathématiques & Sécurité de l'information
4 IMJ-PRG (UMR_7586) - Institut de Mathématiques de Jussieu - Paris Rive Gauche

In this paper, we show how stabilizing controllers for 2D systems can effectively be computed based on computer algebra methods dedicated to polynomial systems, module theory and homological algebra. The complete chain of algorithms for the computation of stabilizing controllers, implemented in Maple, is illustrated with an explicit example.

Domaines: Anneaux et algèbres [math.RA]; Optimisation et contrôle [math.OC]; Equations aux dérivées partielles [math.AP]; Automatique / Robotique; Calcul formel [cs.SC]

Yacine Bouzidi, Thomas Cluzeau, Alban Quadrat, Fabrice Rouillier. On the effective computation of stabilizing controllers of 2D systems. Maple Conference, Oct 2019, Waterloo, Canada. pp.19, ⟨10.1007/978-3-030-41258-6_3⟩. ⟨hal-02419719⟩