A correlation-locking adaptive filtering technique for minimum variance integral control in adaptive optics
Vincent Deo, \'Eric Gendron, Fabrice Vidal, Milan Rozel, Arnaud Sevin,, Florian Ferreira, Damien Gratadour, Nicolas Galland, G\'erard Rousset

TL;DR
This paper introduces CLOSE, a real-time adaptive filtering technique for AO systems that automatically optimizes modal gains to achieve minimum variance control, improving performance under various noise and seeing conditions.
Contribution
The paper presents CLOSE, a novel, scalar-parameter-based adaptive filtering method that automatically tunes modal gains in AO systems, addressing optical gain issues in high-order systems for extremely large telescopes.
Findings
CLOSE effectively optimizes modal gains in simulations of AO systems.
The technique demonstrates robustness to transient effects and noise variations.
CLOSE improves AO correction by compensating for optical gain phenomena.
Abstract
We propose the Correlation-Locking Optimization SchEme (CLOSE), a real-time adaptive filtering technique for adaptive optics (AO) systems controlled with integrators. CLOSE leverages the temporal autocorrelation of modal signals in the controller telemetry and drives the gains of the integral command law in a closed servo-loop. This supervisory loop is configured using only a few scalar parameters, and automatically controls the modal gains to closely match transfer functions achieving minimum variance control. This optimization is proven to work throughout the range of noise and seeing conditions relevant to the AO system. This technique has been designed while preparing the high-order AO systems for extremely large telescopes, in particular for tackling the optical gain (OG) phenomenon -- a sensitivity reduction induced by on-sky residuals -- which is a prominent issue with pyramid…
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