基于双层同步优化策略的星载单锁臂控制器设计方法  

Design Method for Satellite-borne Single Arm Locking Controller Based on Bilayer Synchronized Optimization Strategy

作　　者：苏士豪 马龙[1] 赵欣怡 邵勇斌 尹绪涛 辛明 SU Shihao;MA Long;ZHAO Xinyi;SHAO Yongbin;YIN Xutao;XIN Ming(Sino-European Institute of Aviation Engineering,Civil Aviation University of China,Tianjin 300300,China;School of Electrical and Information Engineering,Tianjin University,Tianjin 300072,China)

机构地区：[1]中国民航大学中欧航空工程师学院,天津300300 [2]天津大学电气自动化与信息工程学院,天津300072

出　　处：《光子学报》2025年第2期85-97,共13页Acta Photonica Sinica

基　　金：国家重点研究发展计划(No.2021YFC2201902)。

摘　　要：针对单锁臂结构的控制器设计问题,提出了一种双层同步优化策略,在优化控制器结构的同时设计零极点取值。该方法引入延迟裕度作为后验条件,确保系统在航天器轨道周期内的稳定性,结合控制系统的绝对稳定性和相对稳定性约束,建立控制器结构优化层和参数优化层之间的反馈循环,借助非线性优化算法同步优化控制器结构及参数,在仅需20 dB增益的情况下实现了较高的激光频率噪声抑制比。结果表明,所设计的控制器可使激光频率噪声在0.01 Hz~0.1 mHz频段被抑制5到6个数量级,在0.01 Hz~1 Hz频段被抑制2到3个数量级,满足引力波探测的噪声抑制需求。At the dawn of the 20th century,Einstein's theory of general relativity predicted the existence of Gravitational Waves(GWs).In the early 1980 s,several ground-based interferometers,such as LIGO and VIRGO,were proposed for GW detection.Due to constraints like limited arm lengths and sensitivity to ground vibrations,these detectors are restricted to detecting GWs with frequencies above 30 Hz.Consequently,the focus of GW research has shifted towards space-based detectors.Noteworthy initiatives in this domain include NASA and ESA's Laser Interferometer Space Antenna(LISA)and China's“Taiji”program,both aiming to measure GWs within the 0.1 mHz to 1 Hz frequency band.The detection of GWs,which induce extremely subtle distance changes,necessitates measurement systems with picometer(pm)precision.To achieve this sensitivity,it is crucial to reduce laser frequency noise by 10 to 12 orders of magnitude from current levels.The prevailing strategy involves a three-tiered noise suppression approach:pre-frequency stabilization,arm locking technology,and Time-Delay Interferometry(TDI).Despite pre-stabilization,laser frequency noise typically remains 2 to 3 orders of magnitude above the TDI requirements,making arm locking frequency stabilization a pivotal intermediate step in further noise reduction.Arm locking systems exploit the relative stability of the spacecraft's arm length within the target frequency band to suppress laser frequency noise.While substantial progress has been made in developing arm locking controllers,there remains a relative paucity of studies focused on the optimization of controller parameters.This paper proposes a controller design method based on a bilayer optimization strategy.The bilayer synchronized optimization strategy consists of two layers:a controller structure optimization layer and a parameter optimization layer.The two optimization layers are synchronized through feedback,with the optimized parameters from the parameter optimization layer fed back into the structure optimization layer to r

关 键 词：空间引力波探测 激光频率噪声抑制 单锁臂控制 双层优化策略 延迟裕度 

分 类 号：TN249[电子电信—物理电子学]