中国空间科学技术

中国空间科学技术 ›› 2021, Vol. 41 ›› Issue (5): 95-102.doi: 10.16708/j.cnki.1000-758X.2021.0071

• 论文 • 上一篇    下一篇

基于自适应LMS算法的空间光束快速精扫描跟踪控制方法

熊子珺，刘磊，杨鸿杰   

  1. 1 西北工业大学 航天学院，西安710072
    2 陕西省空天飞行器设计重点实验室，西安710072
  • 出版日期:2021-10-25 发布日期:2021-09-29

Fast and precise scanning and tracking control of space beam based on adaptive LMS algorithm

XIONG Zijun，LIU Lei，YANG Hongjie   

  1. 1 School of Astronautics，Northwestern Polytechnical University，Xi'an 710072, China
    2 Shaanxi Key Laboratory of Aerospace Flight Vehicle Design，Xi'an 710072, China
  • Published:2021-10-25 Online:2021-09-29

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摘要： 针对空间精密光学领域与国防应用对高精度快速光束控制的需求，给出自适应最小均方（LMS）算法对压电快摆镜进行光束扫描跟踪控制。首先描述了自适应LMS控制算法及快摆镜模型辨识方法，随后仿真分析了不同频率及迭代步长对自适应LMS算法跟踪控制的影响，最后采用自适应LMS算法进行了压电快摆镜辨识及扫描跟踪控制实验。实验结果表明，自适应LMS算法对2Hz、10Hz及其复合谐波信号扫描的跟踪误差分别为2.5%(3σ)、1.9%(3σ)和2.4%(3σ)，控制效果均优于PI控制算法。这种自适应LMS算法能有效跟踪多频扫描信号，为高精度空间光束快速扫描跟踪提供了一种可靠的技术手段。

关键词: 压电快摆镜, 自适应LMS, 扫描控制, 激光跟踪, 系统辨识, FIR滤波器

Abstract: Fast and precise beam scanning control is strictly required in aerospace, especially the space precise optics. To meet the requirements of fast and precise beam control for space science and technology as well as national defense applications, the adaptive least-mean square (LMS) algorithm was given to control the beam pointing and tracking of piezoelectric steering mirrors. Firstly, the adaptive LMS control method and the model identification of fast steering mirror were described. Then, the piezoelectric fast steering mirror model was identified and compared with the known reference model. The tracking control performance of the adaptive LMS algorithm under different frequencies and iterative steps was simulated. Finally, the unknown piezoelectric steering mirror was identified by experiments, and the adaptive LMS algorithm was designed for the input-output scanning and tracking control. The experimental results show that the tracking errors of the adaptive LMS algorithm are 2.5%(3σ), 1.9%(3σ) and 2.4%(3σ) for 2Hz, 10Hz and their compound sinusoidal scanning signals, respectively, which are better than the PI control errors. The adaptive LMS algorithm can effectively track multi-frequency reference signals and provide a reliable technical means for fast and precise space beam pointing and tracking.

Key words: piezoelectric steering mirror, adaptive LMS algorithm, scanning control, laser tracking, system identification, FIR filter