非平稳衰减过程灰色高阶动态建模方法及应用

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 ,拟合精度大大提高

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

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.