航空学报 > 2010, Vol. 31 Issue (1): 125-130

基于左矩阵分式模型的模态参数识别方法

孙鑫晖, 张令弥, 王彤   

  1. 南京航空航天大学 振动工程研究所
  • 收稿日期:2009-04-23 修回日期:2009-06-30 出版日期:2010-01-25 发布日期:2010-01-25
  • 通讯作者: 孙鑫晖

Modal Parameter Identification Based on Left Matrix Fraction Description

Sun Xinhui, Zhang Lingmi, Wang Tong   

  1. Institute of Vibration Engineering, Nanjing University of Aeronautics and Astronautics
  • Received:2009-04-23 Revised:2009-06-30 Online:2010-01-25 Published:2010-01-25
  • Contact: Sun Xinhui

摘要:

提出一种多输入多输出(MIMO)系统的宽频模态参数识别算法。该方法基于频响函数(FRF)的左矩阵分式模型(LMFD),通过最小二乘法在z域内求解模态参数,避免了s域内矩阵的病态问题。针对左矩阵分式模型的特点,给出了一种通过主分量分析(PCA)建立稳定图的方法。指出了传统的频域多参考点(PRFD)方法与基于左矩阵分式模型识别方法之间的关系。最后采用GARTEUR模型仿真算例与飞机模型的实测算例对所提出的方法进行了验证,结果表明该方法具有良好的识别效果。

关键词: 模态参数识别, 左矩阵分式模型, z域, 稳定图, 多输入多输出系统, 频响函数

Abstract:

A broadband modal parameter identification algorithm is proposed for a multi-input multi-output (MIMO) system. The algorithm is based on the left matrix fraction description (LMFD) of the frequency response function (FRF). The modal parameters are achieved by using a least squares estimator so that the bad numerical conditions of the matrix can be avoided in the z domain. Considering the feature of left matrix fraction description, this article presents a construction method of the stabilization diagram by principal component analysis (PCA). It also dwells on the relationship between the classical poly-reference frequency domain (PRFD) and the proposed method. A simulation case of a GARTEUR model and an application case of an aircraft model are employed to validate the algorithm. The results show that good effect is achieved by the proposed algorithm.

Key words: modal parameter identification, left matrix fraction description, z domain, stabilization diagram, multi-input multi-output system, frequency response function

中图分类号: