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Article Dans Une Revue European Journal of Control Année : 2011

Minimum-Variance Control for Astronomical Adaptive Optics with Resonant Deformable Mirrors

Résumé

Adaptive Optics (AO) systems use a Deformable Mirror (DM) to counter in real-time the nefarious effects of atmospheric turbulence on ground-based telescope imaging. This article presents a brief historical overview of AO design, seen as a strongly multi-variable Minimum-Variance (MV) disturbance rejection problem associated with a hybrid continuous/discrete time MV control problem. It is shown that for a wide class of LTI DM and turbulence models, this hybrid MV problem can be transformed into an equivalent discrete-time LQG formulation. A discrete-time stochastic model enables to compute the optimal control in standard reconstructed feedback form and to evaluate performance degradation for simpler sub-optimal solutions. An example of tip-tilt DM control for the European Extremely Large Telescope (E-ELT) is presented.
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Dates et versions

hal-01590368 , version 1 (19-09-2017)

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Carlos Correia, Henri-François Raynaud, Caroline Kulcsár, Jean-Marc Conan. Minimum-Variance Control for Astronomical Adaptive Optics with Resonant Deformable Mirrors. European Journal of Control, 2011, 17 (3), pp.222 - 236. ⟨10.3166/ejc.17.222-236⟩. ⟨hal-01590368⟩
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