An improved adaptive Sage filter with applications in GEO orbit determination and GPS kinematic positioning

The shortcomings of an adaptive Sage filter are analyzed in this paper. An improved adaptive Sage filter is developed by using a weighted average quadratic form of the historical residuals of observations and predicted states to evaluate the covariance matrices of observations and dynamic model errors at the present epoch. The weight function is constructed based on the variances of observational residuals or predicted state residuals and the space distance between the previous and the present epoch. In order to balance the contributions of the measurements and the dynamic model information, an adaptive factor is applied by using a two-segment function and predicted state discrepancy statistics. Two applications, orbit determination of a maneuvered GEO satellite and GPS kinematic positioning, are conducted to verify the performance of the proposed method.

[1]  Yuanxi Yang,et al.  Adaptively robust filtering for kinematic geodetic positioning , 2001 .

[2]  Mohinder S. Grewal,et al.  GEO ORBIT DETERMINATION VIA COVARIANCE ANALYSIS WITH A KNOWN CLOCK ERROR , 2001 .

[3]  C. Rizos,et al.  Improving Adaptive Kalman Estimation in GPS/INS Integration , 2007, Journal of Navigation.

[4]  Oliver Montenbruck,et al.  Satellite Orbits: Models, Methods and Applications , 2000 .

[5]  Xiaogong Hu,et al.  Precise orbit determination of a maneuvered GEO satellite using CAPS ranging data , 2009 .

[6]  Jinling Wang,et al.  Evaluating the Performances of Adaptive Kalman Filter Methods in GPS/INS Integration , 2010 .

[7]  Yuanlan Wen,et al.  Synthetically adaptive robust filtering for satellite orbit determination , 2004 .

[8]  Yuanxi Yang,et al.  An Optimal Adaptive Kalman Filter , 2006 .

[9]  Tianhe Xu,et al.  An Adaptive Kalman Filter Based on Sage Windowing Weights and Variance Components , 2003 .

[10]  Igor' V. Kemkin,et al.  Main Jurassic geological events along the eastern Paleo-Asian continental margin , 2006 .

[11]  Andrew P. Sage,et al.  Adaptive filtering with unknown prior statistics , 1969 .

[12]  Mohinder S. Grewal,et al.  Comparison of GEO and GPS Orbit Determination , 2002 .

[13]  Yuanxi Yang,et al.  Comparison of Adaptive Factors in Kalman Filters on Navigation Results , 2005 .

[14]  A. H. Mohamed,et al.  Adaptive Kalman Filtering for INS/GPS , 1999 .

[15]  Li Bofeng.  Moving Time-window Based Real-time Estimation Algorithm for the Stochastic Model of GPS/Doppler Navigation , 2011 .