抗差灰色模型及其在卫星钟差预报中的应用

Robust Gray Model and Its Application in Satellite Clock Predication

分析了灰色模型理论利用最小二乘估计建模不能抵制粗差的特点,将抗差估计理论应用到灰色模型的参数估计中。针对抗差估计未顾及系数矩阵受粗差影响的问题,提出了基于改进型抗差估计的卫星钟预报灰色模型,并利用IGS的GPS卫星钟数据进行了模型验证。结果表明,基于改进型抗差估计建立的灰色模型在抵制粗差,尤其是超大粗差方面具有明显优势。

Considering the gross errors is not preventable for the gray model based on least square estimation,the robust estimation is used for the parameter estimation of the gray model.The gray model based on the improved robust estimation is given to the satellite clock prediction,and the model is checked by the GPS clock data from IGS.The result shows that the model takes an obvious advantage on the preventation of gross errors,especially for the great ones.