Binary Control Design for a Class of Bilinear Systems: Application to a Multilevel Power Converter

Laurentiu Hetel (1, 2) , Michael Defoort (3) , Mohamed Djemai (3)

1 CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
2 Centrale Lille
3 LAMIH - Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201

This brief studies the local stabilization of bilinear systems with binary inputs. A novel convex optimization procedure for the robust design of switching surfaces is proposed using convex optimization tools and linear matrix inequalities. The procedure takes into account the robustness to parametric uncertainties in the system matrices. An experimental illustration for the stabilization of a three-cell multilevel power converter is given.

Mots clés: "Uncertainty"; "Switches"; "Nonlinear systems"; "Capacitors"; "Robustness"; "Control design"

Domaines: Automatique / Robotique

Laurentiu Hetel, Michael Defoort, Mohamed Djemai. Binary Control Design for a Class of Bilinear Systems: Application to a Multilevel Power Converter. IEEE Transactions on Control Systems Technology, 2016, 24 (2), pp.719 - 726. ⟨10.1109/TCST.2015.2460696⟩. ⟨hal-01697940⟩