| Citation: | GUO Ming, FAN Yi-di, WANG Peng-cheng, AN Ke, LU Wei, CHEN Wen, ZHANG Yong-he, LIN Bao-jun. High-precision beam pointing control based on global non-singular attitude estimation[J]. Chinese Optics. doi: 10.37188/CO.EN-2026-0004 |
Focusing on the key problem of establishing inter-spacecraft laser links for space-borne gravitational wave (GW) detection, this paper presents a high-precision beam pointing control scheme founded on multi-source information fusion. A detailed state-space model is constructed by integrating the coupled dynamics of moving optical sub-assemblies. Using error quaternions, the nonlinear measurement equations are linearized, thereby enhancing the accuracy of filter-based attitude determination via inertial sensor fusion. Furthermore, a time-varying analytical formulation of the point-ahead angle (PAA) is derived, supplying a theoretical basis for servo compensation. Closed-loop simulations of a three-spacecraft configuration validate the stability and accuracy of the proposed estimation algorithm. In combination with robust disturbance-rejection control, the method enables highly accurate beam pointing, providing essential technical support for GW detection missions.
| [1] |
CHEN P Q, DENG R J, ZHANG Y B, et al. Pseudo-random code selection for inter-satellite laser ranging and data communication in the Taiji program[J]. Chinese Optics, 2025, 18(3): 547-556. (in Chinese). doi: 10.37188/CO.2024-0033
|
| [2] |
HU Y X, ZHANG L H, GAO Y, et al. Analysis of key technologies of spacecraft for gravitational waves detection in space[J]. Spacecraft Engineering, 2022, 31(4): 1-7. (in Chinese). doi: 10.3969/j.issn.1673-8748.2022.04.001
|
| [3] |
The Taiji Scientific Collaboration. China’s first step towards probing the expanding universe and the nature of gravity using a space borne gravitational wave antenna[J]. Communications Physics, 2021, 4(1): 34. doi: 10.1038/s42005-021-00529-z
|
| [4] |
LUO Z R, ZHANG M, JIN G, et al. Introduction of Chinese space-borne gravitational wave detection program “Taiji” and “Taiji-1” satellite mission[J]. Journal of Deep Space Exploration, 2020, 7(1): 3-10. (in Chinese). doi: 10.15982/j.issn.2095-7777.2020.20191230001
|
| [5] |
LUO J, CHEN L SH, DUAN H Z, et al. TianQin: a space-borne gravitational wave detector[J]. Classical and Quantum Gravity, 2016, 33(3): 035010. doi: 10.1088/0264-9381/33/3/035010
|
| [6] |
WANG S, LIU H S, ZHOU Z B, et al. In-orbit performance of the inertial sensor on TianQin-1 satellite[J]. Measurement Science and Technology, 2022, 33(3): 035012. (查阅网上资料, 未找到本条文献信息, 请确认).
|
| [7] |
WU SH F, WANG N, GONG D R. Key technologies for space science gravitational wave detection[J]. Journal of Deep Space Exploration, 2020, 7(2): 118-127. (in Chinese). doi: 10.15982/j.issn.2095-7777.2020.20190402001
|
| [8] |
JIAO B H, LIU Q F, DANG ZH H, et al. A review on DFACS (I): System design and dynamics modeling[J]. Chinese Journal of Aeronautics, 2024, 37(5): 92-119. doi: 10.1016/j.cja.2024.01.031
|
| [9] |
FANG Z R, ZHU ZH C, CAI ZH M, et al. Optimization of optical metrology noise link metrics for space-based gravitational wave detection spacecraft[J]. Chinese Optics, 2025, 18(3): 568-582. doi: 10.37188/CO.2024-0185
|
| [10] |
HEISENBERG L, INCHAUSPÉ H, NAM D Q, et al. LISA dynamics and control: closed-loop simulation and numerical demonstration of time delay interferometry[J]. Physical Review D, 2023, 108(12): 122007. doi: 10.1103/PhysRevD.108.122007
|
| [11] |
YE L Q, DU M H, XU P, et al. Iterative estimation and precision suppression of inter-spacecraft tilt-to-length coupling noise for the Taiji space gravitational wave detection mission[J]. Chinese Optics, 2025, 18(3): 583-595. (in Chinese). doi: 10.37188/CO.2025-0042
|
| [12] |
ZHANG D L, CAO Y F, DUAN ZH SH, et al. High precision state estimation method design for space-based gravitational wave detection spacecraft[J]. Journal of Deep Space Exploration, 2023, 10(5): 557-564. (in Chinese). doi: 10.15982/j.issn.2096-9287.2023.20230035
|
| [13] |
JIAO Y Y, ZHOU H Y, WANG J Q, et al. Linearization error's measure and its influence on the accuracy of MEKF based attitude determination method[J]. Aerospace Science and Technology, 2012, 16(1): 61-69. doi: 10.1016/j.ast.2011.05.004
|
| [14] |
HOUBA N, DELCHAMBRE S, ZIEGLER T, et al. LISA point-ahead angle control for optimal tilt-to-length noise estimation[J]. arXiv preprint arXiv: 2208.11033, 2022. (查阅网上资料, 不确定本文献类型是否正确, 请确认).
|
| [15] |
WANG D ZH, ZHANG X F, DUAN H Z. On point-ahead angle control strategies for TianQin[J]. Classical and Quantum Gravity, 2024, 41(11): 117003. doi: 10.1088/1361-6382/ad42fb
|
| [16] |
FAN Y D, WANG P CH, LU W, et al. Robust controller design for drag-free satellites with two test masses[J]. Journal of Deep Space Exploration, 2023, 10(3): 310-321. (in Chinese). doi: 10.15982/j.issn.2096-9287.2023.20230037
|