title: Optimization of a predictive controller for closed-loop adaptive optics.
abstract: For closed-loop adaptive optics systems limited by time delay and measurement noise, we demonstrate that the ideal rejection transfer function is proportional to the frequency signal-to-noise ratio of the wave-front input. We describe a new modal linear predictive controller that approaches this ideal transfer function. Its parameters are optimized by minimization of the residual wave-front error with a modified recursive least-squares algorithm. The optimization can be performed with closed-loop data in the case of evolving turbulent conditions. We present numerical simulations to show the significant improvements brought by the predictor.
authors.forename: C
authors.initials: C
authors.lastname: Dessenne
authors.forename: P Y
authors.initials: PY
authors.lastname: Madec
authors.forename: G
authors.initials: G
authors.lastname: Rousset