Globally optimal minimum mean-square error control in adaptive optical systems with mirror dynamics

Details Globally optimal minimum mean-square error control in adaptive optical systems with mirror dynamics Globally optimal minimum mean-square error control in adaptive optical systems with mirror dynamics

Jul 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008spie.7015e..37c&link_type=abstract

Adaptive Optics Systems. Edited by Hubin, Norbert; Max, Claire E.; Wizinowich, Peter L. Proceedings of the SPIE, Volume 7015

Physics

Optics

3

Scientific paper

We address the problem of proper handling of deformable mirror (DM) dynamics in Adaptive Optical (AO) systems. We develop a state-space approach based on a continuous stochastic model of the atmospheric turbulence, which yields a fully optimal minimum mean-square error (mmse) solution in the form of a discrete-time Linear-Quadratic-Gaussian (LQG) regulator design. This optimal approach provides a reference point for assessing the performance of simpler suboptimal solutions used up to now. We show the significance of taking into account the DM dynamics, in particular for the upcoming secondary deformables.

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