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平方根滤波算法在传递对准误差评估中的应用
引用本文:李晓华,赵剡,解春明.平方根滤波算法在传递对准误差评估中的应用[J].宇航计测技术,2009,29(2):31-34.
作者姓名:李晓华  赵剡  解春明
作者单位:1. 北京航空航天大学仪器科学与光电工程学院,北京,100083
2. 北京航空航天大学仪器科学与光电工程学院,北京,100083;桂林空军学院,一大队高炮指挥教研室,桂林,541003
摘    要:传递对准误差评估,通常需要进行顺序Kalman滤波及逆序平滑处理。在递推处理过程中,系统状态均方误差阵常常失去非负定性而导致滤波发散。将平方根滤波应用于对准误差的评估中,采用平方根滤波和平方根平滑算法进行弹载子惯导系统的传递对准误差评估,能够保证状态均方误差阵的正定性,并且提高了滤波的收敛速度和评估的误差,为传递对准提供了一种有效的误差评估方法。

关 键 词:平方根滤波  平滑算法  对准误差

The Application of Square-Root Filter in Evaluation of the Transfer Alignment Error
LI Xiao-hua,ZHAO Yan,XIE Chun-ming.The Application of Square-Root Filter in Evaluation of the Transfer Alignment Error[J].Journal of Astronautic Metrology and Measurement,2009,29(2):31-34.
Authors:LI Xiao-hua  ZHAO Yan  XIE Chun-ming
Institution:LI Xiao-hua, ZHAO Yan, XIE Chun-ming ( 1. School of Instrument Science and Opto - electronics Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083 ;2. AA - Gun Command Staff Room of No. 1 Department, Guilin Airforces Academy, Guilin 541003)
Abstract:Evaluating the transfer alignment error requires two procedures, sequential Kalman filter and backward sequential smoothing filter. The mean-square error matrix of system states gradually loses its positive definition during the recursive procedure, which brings on computation divergence. Squareroot filter is used to evaluate the alignment error. Square-root filter and square-root smoothing arithmetic are adopted to evaluating the transfer alignment error of the missile slaver inertial navigation system. That is indicated that this method can assure the positive definition of mean-square error matrix of system states, improve the rapidity of convergence and the error of evaluation. This method is effective to evaluate the transfer alignment error.
Keywords:Square-root filter Smoothing arithmetic Alignment error
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