Etude de la commande optimale en Optique Adaptative et Optique Adaptative Multi-Conjuguée, validation numérique et expérimentale.

TL;DRAbstract

Astronomical imaging from ground-based telescopes is strongly degraded by the<br />atmospheric turbulence. Adaptive Optics (AO) provides real time correction<br />of the turbulence effects, increasing angular resolution.<br />However, technological and fundamental limitations restrict the performance of<br />AO. High dynamic AO (or eXtreme AO - XAO) and wide field of view AO<br />(Multi-Conjugate AO - MCAO) have been proposed to overcome these effects. But<br />control laws classically used in AO are unsuited for these more complex<br />applications.<br /><br /> The goal of this thesis is to investigate an optimal control law, in terms of<br />minimum variance, on both theoretical and experimental grounds. This Linear<br />Quadratic Gaussian (LQG) type<br />control law is analysed and its implementation constraints are evaluated in<br />terms of algorithms and models. We also propose to deal with additive<br />perturbations such as vibrations, present on most systems. Finally, we prese

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