Adjustment Model and Algorithm Based on Ellipsoid Uncertainty

查看全文 作　　者：Yingchun [1,2]SONG;Yuguo [1,2]XIA;Xuemei [3]XIE

机构地区：[1]Key Laboratory of Metallogenic Prediction of Nonferrous Metals and Geological Environment Monitoring Ministry of Education,School of Geoscience and Infophysics,Central South University,Changsha 410083,China;[2]School of Geosciences and Info Physics,Central South University,South Lushan Road,Changsha 410083,China;[3]School of Civil Engineering,Central South University of Forestry and Technology,Changsha 410004,China

出　　处：《Journal of Geodesy and Geoinformation Science》索引2020年第3卷第3期,共8页

基　　金：National Natural Science Foundation of China(Nos.41674009,41574006,41674012)。 摘　　要：In surveying adjustment models,there is usually some uncertain additional information or prior information on parameters,which can constrain the parameters,and guarantee the uniqueness and stability of parameter solution.In this paper,we firstly use ellipsoidal sets to describe uncertainty,and establish a new adjustment model with ellipsoidal uncertainty.Furthermore,we give a new adjustment criterion based on minimization trace of an outer ellipsoid with two ellipsoid intersections,and analyze the propagation law of uncertainty.Correspondingly,we give a new algorithm for the adjustment model with ellipsoid uncertainty.Finally,we give three examples to test and verify the effectiveness of our algorithm,and illustrate the relation between our result and the weighted mixed estimation. 关键词：UNCERTAIN ellipsoid uncertainty constraint adjustment model Ill-posed problem set membership estimation

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Adjustment Model and Algorithm Based on Ellipsoid Uncertainty

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