A novel approach for identification of cascade of Hammerstein model

被引：10

作者：

Cheng, C. M. ^{[1
]}

Peng, Z. K. ^{[1
]}

Zhang, W. M. ^{[1
]}

Meng, G. ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, State Key Lab Mech Syst & Vibrat, Shanghai 200240, Peoples R China

来源：

NONLINEAR DYNAMICS | 2016年 / 86卷 / 01期

基金：

中国博士后科学基金;

关键词：

Volterra series; Nonlinear system; Cascade of Hammerstein model; Wavelet balance method; NONLINEAR DYNAMICAL-SYSTEMS; VOLTERRA SERIES; FREQUENCY-DOMAIN; VIBRATIONS; KERNELS; FILTERS; SIGNAL;

D O I：

10.1007/s11071-016-2904-0

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper, a novel approach is proposed to identify the cascade of Hammerstein model by using Volterra series analytical method. The cascade of Hammerstein model consists of power series associated with linear subsystems. The relationship between the cascade of Hammerstein model and its associated Volterra model is firstly presented in this paper. The basic routine of the identification approach is that, from the system outputs under multilevel excitations, the Volterra series outputs of different order are first estimated by using the wavelet balance method. Then, through each order Volterra outputs and input, the impulse response functions of each order linear subsystems can be estimated, respectively. The simulation studies verify the effectiveness of the proposed identification method for the cascade of Hammerstein model.

引用

页码：513 / 522

页数：10

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