Optimization of a predictive controller for closed-loop adaptive optics

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. in the case of evolving turbulent conditions. improvements brought by the predictor. The optimization can be performed with closed-loop data We present numerical simulations to show the significant (C) 1998 Optical Society of America.