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Performance assessment for the linear control of adaptive optics systems: noise propagation and temporal errors

Abstract

We propose a detailed study of the temporal and noise propagation errors entering the error budget of Single Conjugate Adaptive Optics (SCAO) systems. A transfer-function oriented method is developed for the compu- tation of these errors, in a general linear control context. We apply this formalism to performance comparison between Linear Quadratic Gaussian (LQG) and Integral action controllers. Simulation results are presented, corresponding to a typical SCAO system, in order to validate some approximations on the perturbation power spectral density. We then apply the formalism to evaluate the tip-tilt error budget on GeMS.

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