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基于系统响应瞬时特性的非线性系统识别
Release time:2019-03-10 Hits:
Indexed by: 期刊论文
First Author: 秦安壮
Correspondence Author: Zhang, W.; Department of Engineering Mechanics, Dalian University of TechnologyChina; email: wszhang@dlut.edu.cn
Co-author: 杨志勋,张明杰,武文华,张文首
Date of Publication: 2017-05-25
Journal: 大连理工大学学报
Included Journals: CSCD、Scopus
Document Type: J
Volume: 57
Issue: 3
Page Number: 221-226
ISSN No.: 1000-8608
Key Words: 瞬时频率;归一化Hilbert变换;广义过零法;非线性系统识别
Abstract: 在Krylov-Bogoliubov-Mitropolski(KBM)法的基础上,提出一种基于系统响应瞬时特性的非线性系统识别方法.该方法通过建立系统响应瞬时特性与系统参数之间的函数关系,从而一次性识别出所有系统参数.采用归一化Hilbert变换(normalized Hilbert transform,NHT)和广义过零(generalized zero-crossing,GZC)法求解信号瞬时振幅和瞬时频率,通过算例验证了两种方法的效果.以Duffing方程和Vanderpol方程两类非线性振动系统为例,验证了所提系统识别方法的精度.算例表明,即使在系统响应受到较大噪声污染时,该方法也有很好的识别精度.
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