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| 基于系统响应瞬时特性的非线性系统识别 |
| Nonlinear System Identification Based on Instantaneous Characteristics of Dynamic Response |
| 投稿时间：2016-06-02 修订日期：2016-07-28 |
| DOI： |
| 中文关键词: 瞬时频率 归一化Hilbert变换 广义过零法 非线性系统识别 |
| 英文关键词: Instantaneous Frequency Normalized Hilbert transform Generalized zero-crossing Nonlinear system identification |
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| 中文摘要: |
| 摘要: 本文在Krylov-Bogoliubov-Mitroposki (KBM) 法的基础上，提出一种基于系统响应时程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；简要介绍了归一化Hilbert变换 (normalized Hilbert transform, NHT) 和广义过零法 (generalize zeroing crossing, GZC) 求解信号瞬时振幅和瞬时频率的方法，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，验证了本文方法的精度。算例表明，即使在系统响应受到较大噪声污染时，本文方法也有很好的识别精度。 |
| 英文摘要: |
| Abstract: A system identification method is developed in the light of the KBM method, in which the system parameters are identified on the basis of the instantaneous characteristics of the dynamic response of the system. The method identifies all the system parameters through establishing function relationship connecting system transient response characteristics with system parameters. The normalized Hilbert transform (NHT) and the generalized zero-crossing (GZC) methods are introduced to calculate the instantaneous amplitude and frequency of the dynamic response. An example is applied to verify the efficiencies of these two methods. The proposed system identification method is applied to the nonlinear vibration systems of the Duffing and Vanderpol types. Results show that the method has good identification accuracy even when the dynamic responses are largely polluted by noises. |
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