Utilization of the~Ensemble~Kalman~Filter: an optimal control law for the adaptive optics of the E-ELT

Details Utilization of the~Ensemble~Kalman~Filter: an optimal control law for the adaptive optics of the E-ELT Utilization of the~Ensemble~Kalman~Filter: an optimal control law for the adaptive optics of the E-ELT

Dec 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010sf2a.conf...73g&link_type=abstract

SF2A-2010: Proceedings of the Annual meeting of the French Society of Astronomy and Astrophysics. Eds.: S. Boissier, M. Heydari-

Physics

Optics

Adaptive Optics, E-Elt, Kalman Filter

Scientific paper

Adaptive Optics (AO) systems require the implementation of techniques intended for real time identification of atmospheric turbulence. Nowadays there are several approaches. One of them is using the Kalman Filter (KF) and presents numerous advantages at the level of optimal control. However it will be impossible to install this process within the frame of an AO system for any ELT class telescope because of the quantitative leap in the number of parameters (high dimensional system) and consequently the quantitative leap in the cost in real time processes. First of all, we briefly give some backgrounds of AO on 8-10 m class telescopes and the utilization of the KF for an optimal control law. Then we present the Ensemble Kalman Filter (EnKF), a recent method tried and tested in Geophysics and which is particularly well suited for a transition to a very high number of parameters. After a description from a general point of view, we shortly present the numerical implementation and two main approaches for simplifying the matrix equations of the estimation in order to reduce the computational complexities of this technique. Finally, we propose some different perspectives and future works of this approach.

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