摘要
本文将小波理论应用于LTV(lineartime varying)系统的模态参数识别,首先将系统的微分方程投影到由Daubechies尺度函数张成的子空间中去,然后根据系统的输入及输出,求出在各个微小时间段上与系统相对应的微分方程的系数,最终实现在整个时间段上系统时变参数的识别。
A method of model parameter identification of LTV systems based on Daubechies wavelet is presented. The technique proposed in this paper consists of projecting the governing differential equation associated with a LTV model on a subspace spanned by a finite number of Daubechies wavelets, the resulting algebraic equations are then rewritten with the parameters of the LTV system as unknowns. The core of the identification algorithm is the estimation of the parameters of the equations from input and output measurements. First, the parameters over tiny time intervals are identified, then the evolution of the parameters over the whole duration can be estimated.
出处
《苏州大学学报（工科版）》
CAS
2005年第1期41-46,共6页
Journal of Soochow University Engineering Science Edition (Bimonthly)
基金
江苏省自然科学基金资助项目(编号BK2001136)。
关键词
小波理论
LTV系统
参数识别
尺度函数
LTV system
Daubechies wavelets
scalc function
parameter identification
