Adjustment Model and Algorithm Based on Ellipsoid Uncertainty

作者：Yingchun SONG,Yuguo XIA,Xuemei XIE

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.

發文機構：Key Laboratory of Metallogenic Prediction of Nonferrous Metals and Geological Environment Monitoring Ministry of Education School of Geosciences and Info Physics School of Civil Engineering

關鍵詞：UNCERTAINellipsoiduncertaintyconstraintadjustmentmodelIll-posedproblemsetmembershipestimation

分類號： O17[理學—基礎數學]