摘要
针对动态测量系统具有时变性和测量过程中受到各种随机干扰的情况,将动态测量过程看作是灰色过程和随机过程的统一体。采用传统灰色模型提取测量序列趋势项,然后建立ARMA模型对残差进行拟合修正,并以模型参数随时间不断变化的方式对动态测量系统建立数学模型。实际算例证实,改进的灰色动态建模方法不仅具有快速性、准确性和平稳性的特点,模型精度较传统动态灰色模型也有一定提高。另外,该建模方法也同样适用于静态或准静态测量系统建模,有较好的适应性。
Aiming at the time-variant of dynamic measurement system and different kinds of random disturbance in measuring process, a dynamic model based on grey and ARMA theory is presented. The GM（1,1） model is considered firstly to draw the trend equation from the subsequence sequence, then the ARMA model is used to predict and correct the model residuals, and the changing characteristics of the system. Practical calculation doesn＇t only equip with the advantages, such as of model parameters with time is used to described dynamic example has proved that the advanced grey modeling approach rapidity, veracity and stability, but also have a higher model accuracy than the traditional one. In addition, the modeling approach has good adaptability, and it can also be applied to the static or quasi-static measurement system.
出处
《电测与仪表》
北大核心
2009年第2期16-19,24,共5页
Electrical Measurement & Instrumentation
关键词
动态测量
灰色理论
ARMA
数学模型
静态测量
dynamic measurement, grey theory, ARMA, mathematical model, static measurement
