Upgrading SPHERE with the second stage AO system SAXO+: frequency-based data-driven controller for adaptive optics
Isaac Dinis, Fran\c{c}ois Wildi, Damien S\'egransan, Vaibhav Gupta,, Alireza Karimi, Michel Tallon, Isabelle Bosc, Maud Langlois, Magali Loupias,, Cl\'ementine Bechet, Eric Thi\'ebaut, Charles Goulas, Florian Ferreira,, Anthony Boccaletti, Fabrice Vidal, Caroline Kulcsar

TL;DR
This paper presents a novel frequency-based data-driven control approach for adaptive optics, optimizing disturbance rejection and stability through convex optimization, and validated via simulations for improved system performance.
Contribution
It introduces a new frequency-based data-driven controller for adaptive optics that ensures stability and optimizes disturbance rejection using convex optimization techniques.
Findings
Effective disturbance rejection across diverse conditions
Validated performance improvements in simulations
Demonstrated adaptability in different AO schemes
Abstract
This study introduces a novel frequency-based data-driven controller for adaptive optics, using power spectral density for optimization while ensuring stability criteria. It addresses disturbance rejection, command amplitude constraints and system transfer functions through convex optimization to obtain an optimal control in an infinite input response filter form. Evaluated within the SAXO+ project, it demonstrates efficacy under diverse atmospheric conditions and operational scenarios. The proposed controller is tested in both standard and disentangled adaptive optics schemes, showcasing its adaptability and performance. Experimental validation is conducted using the COMPASS simulation tool, affirming the controller's promise for enhancing adaptive optics systems in real-world applications.
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