基于LQR的激光器锁相控制器设计和噪声抑制分析

空间引力波探测的超高精度要求以及对激光器线宽和调节带宽的限制，对实现应答式星间激光干涉仪的光学锁相的控制器设计提出了更高的要求。而如何在控制带宽受限的情况下提高系统对激光器相位噪声的抑制作用是当前要解决的一个问题。本文设计了一种内模扩展输出反馈LQR控制器，在保证锁相系统稳定，不出现周跳现象的前提下，提高系统对激光器相位噪声的抑制作用。仿真实验结果表明，相较于现有的PI控制器，在20KHz的控制带宽下，本文设计的控制器对激光器相位噪声的抑制效果提高了3倍。此控制器降低了控制系统对激光器最大线宽的约束条件。

Design and noise analysis of phase-locked controller based on LQR

The high-precision requirements of space gravitational wave detection and the limitation of laser line width and adjustment bandwidth put forward higher requirements for the design of the controller for realizing the optical phase lock of the response intersatellite laser interferometer. However, how to improve the system''s suppression of laser phase noise when the control bandwidth is limited is a problem to be solved at present. In this paper, an internal model extended output feedback LQR controller is designed to improve the suppression of the phase noise of the laser under the premise of ensuring the stability of the phase-locked system and no cycle slip phenomenon. The simulation experiment results show that compared with the existing PI controller, under the control bandwidth of 20KHz, the controller designed in this paper can improve the laser phase noise suppression effect by 3 times. This controller reduces the control system''s constraint on the maximum line width of the laser.