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Adaptive Optics Feedback Control

Published online by Cambridge University Press:  13 March 2013

J.-P. Folcher ,
M. Carbillet ,
A. Ferrari  and
A. Abelli
J.-P. Folcher
Affiliation:
UMR 7293, Lagrange Université de Nice Sophia-Antipolis/CNRS/Observatoire de la Côte d’Azur, Parc Valrose, 06108 Nice Cedex 2, France
M. Carbillet
Affiliation:
UMR 7293, Lagrange Université de Nice Sophia-Antipolis/CNRS/Observatoire de la Côte d’Azur, Parc Valrose, 06108 Nice Cedex 2, France
A. Ferrari
Affiliation:
UMR 7293, Lagrange Université de Nice Sophia-Antipolis/CNRS/Observatoire de la Côte d’Azur, Parc Valrose, 06108 Nice Cedex 2, France
A. Abelli
Affiliation:
UMR 7293, Lagrange Université de Nice Sophia-Antipolis/CNRS/Observatoire de la Côte d’Azur, Parc Valrose, 06108 Nice Cedex 2, France
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Abstract

This paper concentrates on the control aspects of Adaptive Optics (AO) systems and includes a prior exposure to linear control systems from the “classical” point of view. The AO control problem is presented and the well-established optimized modal gain integral control approach is discussed. The design of a controller from a modern control point of view is addressed by means of a linear quadratic Gaussian control methodology. The proposed approach emphasizes the ability of the adaptive optics loop to reject the atmospheric aberration. We derive a diagonal state space system which clearly separates the dynamics of the plant (deformable mirror & wavefront sensor) from the disturbance dynamics (atmospheric model). This representation facilitates the numerical resolution of the problem. A frequency analysis is carried out to check performance and robustness specifications of the multiple-input multiple-output feedback system. The effectiveness of the approach is demonstrated through numerical experiments.

Type
Research Article
Information
European Astronomical Society Publications Series , Volume 59: New Concepts in Imaging: Optical and Statistical Models , 2013 , pp. 93 - 130
Copyright
© EAS, EDP Sciences 2013

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