非平稳衰减过程灰色高阶动态建模方法及应用

Method for Establishing Model and Application of Grey Higher Order Dynamic in Unstable Decreasing Process

基于灰色微分动态建模与线性差分建模原理 ,对非线性离散序列经累加、累减生成与变量变换 ,提出灰色高阶 LM(m,1 )模型与 LE(m,1 )模型。利用灰色高阶 GMS(m,1 )模型进行参数辨识与反馈拟合 ,为非平稳衰减序列、振荡型有限增长过程建模辨识提供了有效、规范的新方法。模型结构、参数信息包容量丰富 ,适用性广泛。对农药残留量消解动态序列模拟效果极显著 。

Based on the establishing model principle of gray differentiation dynamics and linear difference, the gray higher order LM( m , 1) model and LE ( m , l) model were given by using continuous sum, continuous minus and variable transformation. Using gray higher order model GMS( m , 1) to do the parameter identification and feedback fit, it could give an effective and normal new method for vibrative finite increasing process of unstable decreasing sequence. The model structure, parameter contained a lot of information and could be used widely. The model had a very significant result for agriculture chemical residue of eliminating dynamics sequence. The fit precision was increased greatly.