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Linear-quadratic-Gaussian control for adaptive optics systems using a hybrid model. 2009

Douglas P Looze
Department of Electrical and Computer Engineering, University of Massachusetts, Amherst, MA 01003, USA. looze@ecs.umass.edu

This paper presents a linear-quadratic-Gaussian (LQG) design based on the equivalent discrete-time model of an adaptive optics (AO) system. The design model incorporates deformable mirror dynamics, an asynchronous wavefront sensor and zero-order hold operation, and a continuous-time model of the incident wavefront. Using the structure of the discrete-time model, the dimensions of the Riccati equations to be solved are reduced. The LQG controller is shown to improve AO system performance under several conditions.

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