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Schmidt算法在导航卫星自主定轨中的应用

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针对现有导航卫星自主定轨采用的等效观测Kalman滤波算法精度难以进一步提升的问题,本文将顾及卫星间状态量协方差信息的Schmidt分布式算法应用于自主定轨,给出了逐观测量处理的Schmidt分布式算法测量更新和时间更新计算公式,提出了采用平方根滤波方法解决Schmidt分布式算法用于星间链路定轨时协方差阵非负定问题.仿真和实测数据自主定轨结果表明,相比等效观测分布式滤波算法,本文方法能够有效提升自主定轨精度.
Schmidt Kalman filter in autonomous orbit determination of navigation satellites
To further improve the accuracy of autonomous orbit determination(AOD)of BDS navigation satellites with the equivalent observation Kalman filter, the Schmidt Kalman filter algorithm is applied, considering the cross covariance informa-tion between two correlated satellite states of the inter-satellite link observation. The formula for the measurement update and time update of Schmidt Kalman filter according to the observation one by one is deduced, and the square root filtering is also used to ensure the positive definite of the covariance matrix of state variable.The simulation and observed data test result of au-tonomous orbit determination shows that the Schmidt Kalman filter algorithm can perceptibly improve the AOD accuracy com-pared with the equivalent observation Kalman filter.

navigation satelliteinter-satellite linkautonomous orbit determinationBDSdecentralized filtering

宋小勇、杨元喜、毛悦、阮仁桂、王龙

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地理信息工程国家重点实验室,陕西西安 710054

西安测绘研究所,陕西西安 710054

导航卫星 星间链路 自主定轨 BDS 分布式滤波

国家自然科学基金国家自然科学基金国家自然科学基金

423881024102014400442074025

2024

测绘学报
中国测绘学会

测绘学报

CSTPCD北大核心
影响因子:1.602
ISSN:1001-1595
年,卷(期):2024.53(5)
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