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.
© 1998 Optical Society of America
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence
(070.6020) Fourier optics and signal processing : Continuous optical signal processing
Caroline Dessenne, Pierre-Yves Madec, and Gérard Rousset, "Optimization of a Predictive Controller for Closed-Loop Adaptive Optics," Appl. Opt. 37, 4623-4633 (1998)