Interaction matrix uncertainty in active (and adaptive) optics
Interaction matrix uncertainty in active (and adaptive) optics
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DOI：
10.1364/ao.48.002105
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发表时间：
2009-04-10
期刊：
影响因子：
1.9
通讯作者：
MacMynowski, Douglas G.
中科院分区：
文献类型：
--
作者：
MacMynowski, Douglas G.
传感器和执行器之间相互作用矩阵的不确定性可能会导致分段反射镜(通常是望远镜主镜)的控制性能下降或不稳定。相互作用矩阵是病态的，因此控制所需的位置估计可能对矩阵知识中的小误差高度敏感，这是由于不确定性或时间变化。利用小增益定理和结构奇异值，给出了系统对不同类型不确定性的稳健性。该控制对执行器增益、传感器增益或传感器二面体与高度灵敏度之比的中等不确定性具有很强的鲁棒性。然而，该控件对几何图形中的微小误差非常敏感，可以容忍的最大误差与分段数成反比。同样的工具也可以应用于自适应光学；然而，这里的相互作用矩阵条件更好，因此不确定性不是问题，可容忍的误差与执行器数量的平方根成反比。(C)2009年美国光学学会
Uncertainty in the interaction matrix between sensors and actuators can lead to performance degradation or instability in control of segmented mirrors (typically the telescope primary). The interaction matrix is ill conditioned, and thus the position estimate required for control can be highly sensitive to small errors in knowledge of the matrix, due to uncertainty or temporal variations. The robustness to different types of uncertainty is bounded here using the small gain theorem and structured singular values. The control is quite robust to moderate uncertainty in actuator gain, sensor gain, or the ratio of sensor dihedral and height sensitivity. However, the control is extremely sensitive to small errors in geometry, with the maximum error that can be tolerated scaling inversely with the number of segments. The same tools can be applied to adaptive optics; however, the interaction matrix here is better conditioned and so uncertainty is less of an issue, with the tolerable error scaling inversely with the square root of the number of actuators. (C) 2009 Optical Society of America