Robust control of a bimorph mirror for adaptive optics system

Lucie Baudouin (1) , Denis Arzelier (1) , Christophe Prieur (1) , Fabien Guignard (1)

1 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande

We apply robust control technics to an adaptive optics system including a dynamic model of the deformable mirror. The dynamic model of the mirror is a modification of the usual plate equation. We propose also a state-space approach to model the turbulent phase. A continuous time control of our model is suggested taking into account the frequential behavior of the turbulent phase. An H∞ controller is designed in an infinite dimensional setting. Due to the multivariable nature of the control problem involved in adaptive optics systems, a significant improvement is obtained with respect to traditional single input single output methods.

Mots clés: Partial differential equations.; Partial differential equations; Adaptive Optics; Robust control

Domaines: Equations aux dérivées partielles [math.AP]; Automatique

Lucie Baudouin, Denis Arzelier, Christophe Prieur, Fabien Guignard. Robust control of a bimorph mirror for adaptive optics system. Applied optics, 2008, 47 (20), pp.3637-3645. ⟨10.1364/AO.47.003637⟩. ⟨hal-00271968⟩