Output frequency response function of nonlinear Volterra systems

被引：137

作者：

Lang, Z. Q. ^{[1
]}

Billings, S. A. ^{[1
]}

Yue, R. ^{[1
]}

Li, J. ^{[1
]}

机构：

[1] Univ Sheffield, Dept Automat Control & Syst Engn, Sheffield S1 3JD, S Yorkshire, England

来源：

AUTOMATICA | 2007年 / 43卷 / 05期

基金：

英国工程与自然科学研究理事会;

关键词：

nonlinear systems; Volterra series theory; differential equation model; output frequency response;

D O I：

10.1016/j.automatica.2006.11.013

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

An expression for the output frequency response function (OFRF), which defines the explicit analytical relationship between the output spectrum and the system parameters, is derived for nonlinear systems which can be described by a polynomial form differential equation model. An effective algorithm is developed to determine the OFRF directly from system simulation or experimental data. Simulation studies demonstrate the significance of the OFRF concept, and verify the effectiveness of the algorithm which evaluates the OFRF numerically. These new results provide an important basis for the analytical study and design of a wide class of nonlinear systems in the frequency domain. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：805 / 816

页数：12

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