Performance of a discrete Linear Quadratic Gaussian controller with a realistic noise model for adaptive optics systems

Modern adaptive optics systems represent a significant challenge for automatic control. The output disturbance must be compensated in real time despite significant measurement noise and system delays. This paper presents the formulation of a discrete Linear Quadratic Gaussian controller with a realistic model of the measurement noise. The cases of high, medium, and low measurement noise are considered. The influence of the measurement noise on the discrete Linear Quadratic Gaussian controller in adaptive optics systems is discussed. The analysis of numerical stability of the discrete controller is provided.