English

Robust control of a bimorph mirror for adaptive optics system

Analysis of PDEs 2009-11-13 v1

Abstract

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_\infty 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.

Keywords

Cite

@article{arxiv.0804.1721,
  title  = {Robust control of a bimorph mirror for adaptive optics system},
  author = {Lucie Baudouin and Denis Arzelier and Christophe Prieur and Fabien Guignard},
  journal= {arXiv preprint arXiv:0804.1721},
  year   = {2009}
}
R2 v1 2026-06-21T10:29:39.878Z