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.
@article{arxiv.2410.05123,
title = {Upgrading SPHERE with the second stage AO system SAXO+: frequency-based data-driven controller for adaptive optics},
author = {Isaac Dinis and François Wildi and Damien Ségransan and Vaibhav Gupta and Alireza Karimi and Michel Tallon and Isabelle Bosc and Maud Langlois and Magali Loupias and Clémentine Bechet and Eric Thiébaut and Charles Goulas and Florian Ferreira and Anthony Boccaletti and Fabrice Vidal and Caroline Kulcsar and Henri-François Raynaud and Nicolas Galland and Markus Kasper and Julien Milli and David Mouillet and Laura Schreiber and Emiliano Diolaiti and Raffaele Gratton and Gael Chauvin},
journal= {arXiv preprint arXiv:2410.05123},
year = {2024}
}