Local ensemble transform Kalman filter, a fast non-stationary control law for adaptive optics on ELTs: theoretical aspects and first simulation results

TL;DR

This paper introduces a novel adaptive optics control algorithm for ELTs that combines LQG and localized Kalman filtering, enabling non-stationary behavior handling, near-optimal performance, and efficient parallel computation.

Contribution

It presents a new local ensemble transform Kalman filter-based control law tailored for adaptive optics on ELTs, addressing non-stationarity and computational efficiency.

Findings

Performance close to optimal residual phase variance minimization

Reduced computational burden through parallel implementation

Effective handling of non-stationary behaviors

Abstract

We propose a new algorithm for an adaptive optics system control law, based on the Linear Quadratic Gaussian approach and a Kalman Filter adaptation with localizations. It allows to handle non-stationary behaviors, to obtain performance close to the optimality defined with the residual phase variance minimization criterion, and to reduce the computational burden with an intrinsically parallel implementation on the Extremely Large Telescopes (ELTs).