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.
© 2008 Optical Society of America
Atmospheric and Oceanic Optics
Original Manuscript: April 14, 2008
Revised Manuscript: August 28, 2008
Manuscript Accepted: October 14, 2008
Published: December 3, 2008
Douglas P. Looze, "Linear-quadratic-Gaussian control for adaptive optics systems using a hybrid model," J. Opt. Soc. Am. A 26, 1-9 (2009)