doi:10.16186/j.cnki.1673-9787.2020.2.7

Received:2019/06/09

Revised:2019/07/22

Published:2020/03/15

Application of L-M algorithm optimized gray model in GPSsatellite clock error predication

YANG Chengwu1,2, LIU Zhiping1,2, XU Yongming1,2

1.Key Lab of Land， Environment and Disaster Monitoring， Ministry of Natural Resources， China University of Mining and Technology， Xuzhou  221116 ， Jiangsu， China；2.School of Environment Science and Spatial Informatics， China University of Mining and Technology， Xuzhou 221116 ， Jiangsu， China

Abstract:A global iterative optimization estimation method for the deficiencies of the grey model in the parameters estimation based on L-M algorithm was proposed to solves the local optimal problems of background value of conventional difference of the grey model，which included uncertainty of the generation factor，inherent deviation of the initial value of time response function and the model parameter solution estimation through the improvement and optimization of development coefficient， gray action and initial value of time response function. The experimental results showed that the new method improved the prediction accuracy of different types of atomic clock difference in comparison with the quadratic polynomial model and the gray model.The accuracy of 6 hours and 24 hours prediction increased by an average of 48.5% and 46.3%.The effectiveness and superiority of the improved method were verified.

Key words:grey model;Levenberg-Marquardt algorithm;global iterative optimization;clock error prediction

L_M算法优化的灰色模型在GPS卫星钟差预报中的应用_杨承午.pdf