A spatial non-dynamic LQG controller: Part I, application to adaptive optics

The theory of a spatial non-dynamic LQG controller developed in Part II is applied to astronomical adaptive optics (AO). The AO control system is described and reduced to an exact finite dimensional model by projecting into observable and controllable subspaces. A dynamic optimal minimum variance controller is derived, using the estimated covariance of the residuals rather than assuming a Komolgorov structure function. This controller is compared with a non-dynamic optimal controller and with the usual null-seeking controller