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Spacecraft relative navigation filtering method based on α-divergence minimization
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Changyong SHI1, 2, 3, Jingtian ZHANG2, 3, Yuke ZHANG2, 3, Yun LIU2, 3
Journal of Chinese Inertial Technology | 2025, 33(10) : 979 - 987
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Journal of Chinese Inertial Technology | 2025, 33(10): 979-987
Integrated Navigation Technology
Spacecraft relative navigation filtering method based on α-divergence minimization
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Changyong SHI1, 2, 3, Jingtian ZHANG2, 3, Yuke ZHANG2, 3, Yun LIU2, 3
Affiliations
  • 1.School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
  • 2.Shanghai Institute of Spaceflight Control Technology, Shanghai 201109, China
  • 3.Shanghai Key Laboratory of Aerospace Intelligent Control Technology, Shanghai 201109, China
Published: 2025-10-30 doi: 10.13695/j.cnki.12-1222/o3.2025.10.004
Outline
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To address the issue of poor adaptability of traditional Kalman filters to nonlinear non-Gaussian measurement signals in relative navigation of non-cooperative spacecraft, which can lead to performance degradation or even divergence, a nonlinear filtering method based on α-divergence minimization (αKF) is proposed. Operating within the Bayesian estimation framework, this method achieves high-precision dynamic solution of relative position and velocity between the observing and observed spacecraft by optimizing posterior probability distribution estimation through α-divergence minimization. Simulation experiments demonstrate the robustness of the proposed method under both Gaussian and second-order Gaussian mixture models (GMM). Results indicate that under second-order GMM non-Gaussian noise conditions, the αKF-based algorithm achieves relative position estimation accuracy of 1.813 m and relative velocity precision of 0.022 m/s. Furthermore, parameter sensitivity analysis reveals the optimal range for divergence coefficient α to be 0.05~0.1, providing valuable reference for filter parameter configuration in complex noise scenarios.

α-divergence minimization  /  Gaussian mixture model  /  non-Gaussian distribution  /  spacecraft relative navigation
Changyong SHI, Jingtian ZHANG, Yuke ZHANG, Yun LIU. Spacecraft relative navigation filtering method based on α-divergence minimization[J]. Journal of Chinese Inertial Technology, 2025 , 33 (10) : 979 -987 . DOI: 10.13695/j.cnki.12-1222/o3.2025.10.004
Year 2025 volume 33 Issue 10
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Article Info
doi: 10.13695/j.cnki.12-1222/o3.2025.10.004
  • Receive Date:2024-05-24
  • Online Date:2026-03-27
  • Published:2025-10-30
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  • Received:2024-05-24
  • Accepted:2025-06-20
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Affiliations
    1.School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
    2.Shanghai Institute of Spaceflight Control Technology, Shanghai 201109, China
    3.Shanghai Key Laboratory of Aerospace Intelligent Control Technology, Shanghai 201109, China
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表12种不同金属材料的力学参数

Family
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Number of
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Number of
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鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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