动态Kalman滤波模型误差的影响Model error influences on kalman filtering
杨元喜;
摘要(Abstract):
动态Kalman滤波模型误差的影响与静态平差模型误差影响不同。它包括观测异常误差影响和动力学模型异常的影响。本文分别讨论了观测异常误差和动力学模型异常误差对当前历元滤波结果的影响及对后续历元滤波结果的影响;构建了异常误差影响表达式,并对各类异常误差的检测方法进行了分析。
关键词(KeyWords): 异常误差;观测误差;动力模型误差;Kalman滤波
基金项目(Foundation): 国家自然科学基金(40274002和40474001);; 地球空间环境与大地测量教育部重点实验室开放基金(1469990324233-04-11)
作者(Authors): 杨元喜;
参考文献(References):
- [1]何海波,杨元喜.GPS动态测量连续周跳检验[J].测绘学报,1999,28(3):199-204.
- [2]陶本藻.卡尔曼滤波模型误差的识别[J].地壳形变与地震,1999,19:15-20.
- [3]王国富,朱建军.含有粗差观测值的自适应滤波[J].测绘科学,2004,4.
- [4]杨元喜,等.论动态自适应滤波[J].测绘学报,2001,30(4):293-298.
- [5]杨元喜.动态系统的抗差Kalman滤波[J].郑州测绘学院学报,1997,14(2):79-84.
- [6]周江文,等.抗差最小二乘法[J].武汉:华中理工大学出版社,1997.
- [7]Fagin S L.Recursive Linear Regression Theory,Optima Filter Theory and Error Analysis of Optimal System[J].IEEE Int.Convent,1964,Record,12:216-240.
- [8]Koch K R and Yang Y.Robust Kalman Filter for Rank Deficient Observation Model[J].Journal of Geodesy.1998,72(8):436-441.
- [9]Sage A P and Husa G W.Adaptive filtering with unknown prior statistics[J].Joint American Control Conference,1969:769-774.
- [10]Teunissen PJG.An integrity and quality control proce dure for use in multi sensor integration[A].In:Pro ceedings of ION GPS-90[C].Colorado springs,Colo rado,USA,19-21September,1990:513-522.
- [11]Teunissen PJG.Quality control in navigation systems[J].IEEE Aerospace and Electronic Systems Maga zine,1990b,5(7):35-41.
- [12]Yang Y,He Hand Xu G.Adaptively robust filtering fo kinematic geodetic positioning[J].Journal of Geodesy,2001,75(2/3):109-116.