Optimal control, observers and integrators in adaptive optics
Optimal control, observers and integrators in adaptive optics
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DOI：
10.1364/oe.14.007464
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发表时间：
2006-08-21
期刊：
影响因子：
3.8
通讯作者：
de Lesegno, Patrick Viaris
中科院分区：
文献类型：
--
作者：
Kulcar, Caroline;Raynaud, Henri-Francois;de Lesegno, Patrick Viaris
从控制工程的角度出发，研究了自适应光学环路中残余相位方差最小化的基本问题。当使用状态空间方法适当地建模时，这个问题可以被分解为最优确定性控制问题和最优估计问题，其解决方案是线性二次（LQ）控制和卡尔曼滤波器。这种方法提供了一个方便的框架，用于分析现有的AO控制器，其中示出包含一个隐式相湍流模型。特别是，标准的基于积分器的AO控制器假设一个恒定的湍流相位，这使得它们容易受到臭名昭著的发条效应。(c)2006年美国光学学会
The fundamental issue of residual phase variance minimization in adaptive optics (AO) loops is addressed here from a control engineering perspective. This problem, when suitably modeled using a state-space approach, can be broken down into an optimal deterministic control problem and an optimal estimation problem, the solution of which are a linear quadratic (LQ) control and a Kalman filter. This approach provides a convenient framework for analyzing existing AO controllers, which are shown to contain an implicit phase turbulent model. In particular, standard integrator-based AO controllers assume a constant turbulent phase, which renders them prone to the notorious wind-up effect. (c) 2006 Optical Society of America