This paper addresses the residual wavefront variance minimization by means of a linear quadratic gaussian control methodology. The proposed approach emphasizes the ability of the adaptive optics loop to reject the atmospheric aberration. We derive a diagonal state space system which clearly separates the dynamics of the plant (deformable mirror & wavefront sensor) from the disturbance dynamics (atmospheric model). This representation facilitates the numerical resolution of the problem. A frequency analysis is carried out to check performance and robustness specifications of the multiple-input multiple-output feedback system. The effectiveness of the approach is demonstrated through numerical experiments using wavefronts generated with the Software Package CAOS.

Date Published: 28 July 2010
PDF: 12 pages
Proc. SPIE 7736, Adaptive Optics Systems II, 77364F (28 July 2010); doi: 10.1117/12.857054

Published in SPIE Proceedings Vol. 7736:
Adaptive Optics Systems II
Brent L. Ellerbroek; Michael Hart; Norbert Hubin; Peter L. Wizinowich, Editor(s)