动态测量误差灰色模型插值预报理论及应用

On the theory and application of interpolating prediction with the grey model of dynamic measuring errors

根据灰色建模机理和特点 ,分析动态测量中灰色模型插值的可行性 ,提出动态测量误差白化生成的灰色预测模型用于插值预报的方法。且进一步以长光栅动态测量系统为对象 ,将所获得的动态测量数据建立误差预报灰色模型 ,并对离散点进行动态测量误差插值预报。实践证明 。

In this paper, the feasibility of applying the grey model to obtaining the interpolation in dynamic measurement is analyzed, and a method is put forward to make interpolating prediction using the grey prediction model derived from the whitening of dynamic measurement errors according to the principles of grey modeling theory. A long grating dynamic measurement system is taken as the research subject. An error prediction grey model is set up based on the obtained dynamic measuring data, and interpolating prediction of the dynamic measuring error of each discrete point is performed. It is proved by practice that the grey model interpolation is correct and effective.