OPTIMIZATION OF A PREDICTIVE CONTROLLER FOR CLOSED-LOOP ADAPTIVE OPTICS

For closed-loop adaptive optics systems limited by time delay and meas urement noise, we demonstrate that the ideal rejection transfer functi on 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 recu rsive least-squares algorithm. in the case of evolving turbulent condi tions. improvements brought by the predictor. The optimization can be performed with closed-loop data We present numerical simulations to sh ow the significant (C) 1998 Optical Society of America.