Correcting the tip and tilt modes of optical aberrations can mitigate a large proportion of distortions in adaptive optics (AO) systems. We describe a method to greatly improve tip/tilt correction for the Keck telescopes, using a Kalman filter with a physics model conditioned by the expected tip/tilt power spectrum and vibration peaks. The model builds on similar implementations, such as that of the Gemini Planet Imager, by considering the effects of loop delays, the response of the control hardware, and systematics specific to Keck. We demonstrate improved correction in simulation, and discuss how this model could be tuned to a specific telescope and otherwise improved.

校正光学像差的尖端和倾斜模式可以减轻自适应光学（AO）系统中的大部分失真。我们描述了一种使用卡尔曼滤波器并极大地改善凯克望远镜的倾斜/倾斜校正的方法，该卡尔曼滤波器的物理模型受预期的倾斜/倾斜功率谱和振动峰值的影响。该模型基于类似的实现方式，例如Gemini Planet Imager的实现方式，考虑了环路延迟的影响，控制硬件的响应以及Keck特有的系统。我们演示了模拟中改进的校正，并讨论了如何将该模型调整到特定的望远镜并进行其他改进。