Identification of non-stationary dynamical systems using multivariate ARMA models

Mathieu Bertha; Jean-Claude Golinval

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Identification of non-stationary dynamical systems using multivariate ARMA models

机译：使用多元ARMA模型识别非平稳动力系统

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摘要

This paper is concerned by the modal identification of time-varying mechanical systems. Based on previous works about autoregressive moving average models in vector form (ARMAV) for the modal identification of linear time invariant systems, and time-varying autoregressive moving average models (TV-ARMA) for the identification of nonstationary systems, a time-varying ARMAV (TV-ARMAV) model is presented for the multivariate identification of time-varying systems. It results in the identification of not only the time-varying poles of the system but also of its respective time-varying mode shapes. The method is applied on a time-varying structure composed of a beam on which a mass is moving.

机译：本文关注时变机械系统的模态识别。基于先前关于向量形式的自回归移动平均模型（ARMAV）用于线性时不变系统的模态识别的研究以及基于时变的自回归移动平均模型（TV-ARMA）用于识别非平稳系统的模型，时变ARMAV提出了（TV-ARMAV）模型用于时变系统的多元辨识。这不仅可以识别系统的时变极点，还可以识别其相应的时变模式形状。该方法应用于由质量在其上移动的梁组成的时变结构上。

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来源
《Mechanical systems and signal processing》 |2017年第5期|166-179|共14页
作者
Mathieu Bertha; Jean-Claude Golinval;
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作者单位

University of Liege, Department of Aerospace and Mechanical Engineering, Allee de la Decouverte 9, 4000 Liege, Belgium;

University of Liege, Department of Aerospace and Mechanical Engineering, Allee de la Decouverte 9, 4000 Liege, Belgium;

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正文语种 eng
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关键词
Time-varying systems; Modal identification; Vector auto-regressive moving average; modelling; Basis functions; Moving mass problem;

机译：时变系统;模态识别;向量自回归移动平均线;造型;基本功能;移动质量问题;

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专利

1. Identification of Refined ARMA Echelon Form Models for Multivariate Time Series [J] . Said Nsiri, Roch Roy Journal of Multivariate Analysis: An International Journal . 1996,第2期

机译：确定多元时间序列的精炼ARMA梯队形式模型
2. IDENTIFICATION OF MULTIVARIATE ARMA MODELS [J] . LI GUIBIN Acta Mathematicae Applicatae Sinica . 1996,第3期

机译：多元Arma模型的识别
3. Decomposition based least squares iterative identification algorithm for multivariate pseudo-linear ARMA systems using the data filtering [J] . Ding Feng, Wang Feifei, Xu Ling, Journal of the Franklin Institute . 2017,第3期

机译：使用数据过滤的多元伪线性ARMA系统基于分解的最小二乘迭代识别算法
4. Identification for Multivariate ARMA Systems without SPR Condition [C] . Hanfu, Chen . 2007

机译：没有SPR条件的多元ARMA系统的识别
5. Nonlinear ARMA models and the general tracking problem for discrete-time dynamical systems [D] . Cabrera, Joao B.D. 1997

机译：离散时间动力系统的非线性ARMA模型和一般跟踪问题
6. Multivariate dynamical systems-based estimation of causal brain interactions in fMRI: Group-level validation using benchmark data neurophysiological models and human connectome project data [O] . Srikanth Ryali, Tianwen Chen, Kaustubh Supekar, -1

机译：基于多动态系统的功能磁共振成像中因果相互作用的估计：使用基准数据神经生理学模型和人类连接组项目数据进行组级验证
7. Identification of non-stationary dynamical systems using multivariate ARMA models [O] . Bertha, Mathieu, Golinval, Jean-Claude 2017

机译：使用多元ARMA模型识别非平稳动力系统

Identification of non-stationary dynamical systems using multivariate ARMA models

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