伍锡锈, 戴吾蛟, 罗飞雪. Research on Adaptively Robust Kalman Filtering for Dynamic Deformation Monitoring Applications[J]. 2011, 31(1): 102-106. DOI: 10.13409/j.cnki.jdpme.2011.01.001.
Research on Adaptively Robust Kalman Filtering for Dynamic Deformation Monitoring Applications
摘要
抗差自适应Kalman滤波算法中
抗差等价权矩阵和自适应因子的计算
要求观测信息具有多余观测量且准确可靠
但在动态变形监测应用中
通常滤波观测值仅为三维坐标且存在较强噪声和粗差的影响。为此
先对该算法中的自适应因子和抗差等价权矩阵的计算进行研究和改进
然后计算了某高速公路边坡的GPS动态监测数据。结果表明
抗差自适应Kalman滤波能够有效地抵制动态变形监测中观测值异常的影响。
Abstract
In the algorithm of adaptively robust Kalman filtering
the calculations of equivalent weight matrixes and adaptive factors are based on abundant
accurate and reliable observation information.But in the application of dynamic deformation monitoring
the monitoring point’s measurement values are simply three-dimensional coordinates
and the impact of noise and outliers is also serious in the observation.In this paper
the algorithms of equivalent weight matrixes and adaptive factors are researched and improved
and the adaptively robust filtering has been used in the GPS dynamic deformation monitoring data processing of a slope.Filtering results show that:adaptively robust Kalman filtering can significantly weaken the influence of measurement outliers in dynamic deformation monitoring.
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references
A new learning statistic for adaptive filter based on predicted residuals [J]. YANG Yuanxi and GAO Weiguang (Xi’an Research Institute of Surveying and Mapping, Xi’an710054, China; Institute of Surveying and Mapping, University of Information Engineering, Zhengzhou 450052, China). Progress in Natural Science . 2006(08)
Adaptively robust filtering with classified adaptive factors [J]. CUI Xianqiang and YANG Yuanxi (Xi’an Research Institute of Surveying and Mapping, Xi’an 710054, China). Progress in Natural Science . 2006(08)