Schmidt算法在导航卫星自主定轨中的应用  

Schmidt Kalman filter in autonomous orbit determination of navigation satellites

作　　者：宋小勇 杨元喜[1,2] 毛悦 阮仁桂[1,2] 王龙 SONG Xiaoyong;YANG Yuanxi;MAO Yue;RUAN Rengui;WANG Long(State Key Laboratory of Geo-Information Engineering,Xi an 710054,China;Research Institute of Surveying and Mapping,Xi an 710054,China)

机构地区：[1]地理信息工程国家重点实验室,陕西西安710054 [2]西安测绘研究所,陕西西安710054

出　　处：《测绘学报》2024年第5期879-888,共10页Acta Geodaetica et Cartographica Sinica

基　　金：国家自然科学基金(42388102,41020144004,42074025)。

摘　　要：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。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 information 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 autonomous orbit determination shows that the Schmidt Kalman filter algorithm can perceptibly improve the AOD accuracy compared with the equivalent observation Kalman filter.

关 键 词：导航卫星 星间链路 自主定轨 BDS 分布式滤波 

分 类 号：P227[天文地球—大地测量学与测量工程]