Looze Douglas P
Department of Electrical and Computer Engineering, University of Massachusetts, Amherst 01003, USA.
J Opt Soc Am A Opt Image Sci Vis. 2006 Mar;23(3):603-12. doi: 10.1364/josaa.23.000603.
The adaptive optics minimum variance control problem is formulated as a linear-quadratic-Gaussian optimization. The formulation incorporates the wavefront sensor frame integration in discrete-time models of the deformable mirror and incident wavefront. It shows that, under nearly ideal conditions, the resulting minimum variance controller approaches the integral controller commonly used in adaptive optics systems. The inputs to the controller dynamics are obtained from a reconstructor with the maximum a posteriori structure that uses the estimation error covariance of the wavefront error. The ideal conditions assumed to obtain the integral controller are as follows; isotropic first-order (but nonstationary) temporal atmospheric aberrations, no computational loop delay, and no deformable mirror dynamics. The effects of variations in these conditions are examined.
自适应光学最小方差控制问题被表述为一个线性二次高斯优化问题。该表述将波前传感器帧积分纳入可变形镜和入射波前的离散时间模型中。结果表明，在近乎理想的条件下，所得的最小方差控制器趋近于自适应光学系统中常用的积分控制器。控制器动态的输入是从具有最大后验结构的重构器获得的，该重构器使用波前误差的估计误差协方差。为获得积分控制器所假设的理想条件如下：各向同性的一阶（但非平稳）时间大气像差、无计算环路延迟以及无可变形镜动态。研究了这些条件变化的影响。
