一种Volterra级数简化辨识方法及其应用研究

针对非线性故障诊断一般计算量大，难以实施在线检测的不足，提出了一种基于分块最小均方（BLMS）滤波器的简化辨识方法。该方法利用影响指数的概念，在保证一定辨识精度的前提下，根据每个Volterra核对辨识结果贡献的大小对其进行筛选，然后用筛选出的有效核函数作为对原系统的近似，从而达到降低辨识维数减少计算量的目的。将该方法应用到某型号直升机电动舵机的故障诊断中，实际测试表明了该简化辨识算法的有效性，为实施在线非线性故障诊断提供了一种解决途径，就有较大的工程实用价值。

Study on a Simplified Volterra Series Identification Method and Its Application

Volterra series identification often suffers from the so called 'dimension disaster',because the scale of Volterra kernels expands exponentially with the increasing of system's order and degree.In order to solve this difficulty,a simplified identification method that based on Block Least Mean Square(BLMS) filter is proposed in this paper.By means of this method the concept of the effect index is introduced in order to reduce the scale of Volterra kernels by selecting them according to the degree of their effectiveness in identification.This method is applied to the fault diction and diagnosis of electric rudders of a certain type of helicopter and approved to be efficiency by actual testing.