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We propose the Correlation-Locking Optimization SchEme (CLOSE), a real-timeadaptive filtering technique for adaptive optics (AO) systems controlled withintegrators. CLOSE leverages the temporal autocorrelation of modal signals inthe controller telemetry and drives the gains of the integral command law in aclosed servo-loop. This supervisory loop is configured using only a few scalarparameters, and automatically controls the modal gains to closely matchtransfer functions achieving minimum variance control. This optimization isproven to work throughout the range of noise and seeing conditions relevant tothe AO system. This technique has been designed while preparing the high-orderAO systems for extremely large telescopes, in particular for tackling theoptical gain (OG) phenomenon -- a sensitivity reduction induced by on-skyresiduals -- which is a prominent issue with pyramid wavefront sensors (PWFS).CLOSE follows upon the linear modal compensation approach to OG, previouslydemonstrated to substantially improve AO correction with high order PWFSsystems. Operating on modal gains through multiplicative increments, CLOSEnaturally compensates for the recurring issue of unaccounted sensitivityfactors throughout the AO loop. We present end-to-end simulations of the MICADOinstrument single-conjugate AO to demonstrate the performances and capabilitiesof CLOSE. We demonstrate that a single configuration shall provide an efficientand versatile optimization of the modal integrator while accounting for OGcompensation, and while providing significant robustness to transient effectsimpacting the PWFS sensitivity.

A correlation-locking adaptive filtering technique for minimum variance integral control in adaptive optics