基于灰色累加和加权乘积的模型辨识算法

为了减少系统扰动对建模精度的影响，将灰色理论中累加求和的思想引入到模型辨识算法中。通过乘积加权的办法，突出当前采样数据对模型准确性的贡献，弱化历史数据的作用。提出一种广义的灰色模型辨识算法，该算法沿用了最小二乘法的框架，对建模数据没有非负的要求，不仅融合了灰色辨识算法的优点，而且满足一般系统的辨识要求。

Modeling algorithm using accumulated generating operation and weighted product

In order to reduce the disturbance effect on model precision,the accumulated generating operation in grey modeling is introduced into the identification algorithm.Current sampled data play an important role in identification,thus more importance is attached to it by the weighted product,and the history data are weakened.A generalized grey modeling algorithm is proposed which inherits the least square method.This algorithm can use negative signals to modeling,which is different from the traditional grey mode...