基于响应灵敏度法的时滞系统参数识别

吴蓉; 刘济科; 吕中荣; 汪利

doi:10.13471/j.cnki.acta.snus.2019.03.05.2019B019

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基于响应灵敏度法的时滞系统参数识别

研究论文 | 更新时间：2023-11-01

- 基于响应灵敏度法的时滞系统参数识别
- Parameter identification of delayed system based on response sensitivity approach
- 中山大学学报(自然科学版) 2020年59卷第4期页码：74-78
- 作者机构：
  
  中山大学航空航天学院，广东广州 510006
- 作者简介：
  
  吴蓉（1990年生），女；研究方向：振动系统参数识别与结构损伤识别；E-mail：1547742272@qq.com
  吕中荣（1975年生），男；研究方向：结构损伤识别与健康监测；E-mail：lvzhr@mail.sysu.edu.cn
- 基金信息：
  
  国家自然科学基金(11972380);广东省科技计划项目(2016A020223006);广东省自然科学基金(2018B030311001);高校基本科研业务费(17lgjc42)
- DOI：10.13471/j.cnki.acta.snus.2019.03.05.2019B019
  中图分类号： TB123
- 纸质出版日期：2020-07-20，
  
  收稿日期：2019-03-05，
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吴蓉,刘济科,吕中荣等.基于响应灵敏度法的时滞系统参数识别[J].中山大学学报(自然科学版),2020,59(04):74-78.

WU Rong,LIU Jike,LU Zhongrong,et al.Parameter identification of delayed system based on response sensitivity approach[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2020,59(04):74-78.
吴蓉,刘济科,吕中荣等.基于响应灵敏度法的时滞系统参数识别[J].中山大学学报(自然科学版),2020,59(04):74-78. DOI： 10.13471/j.cnki.acta.snus.2019.03.05.2019B019.

WU Rong,LIU Jike,LU Zhongrong,et al.Parameter identification of delayed system based on response sensitivity approach[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2020,59(04):74-78. DOI： 10.13471/j.cnki.acta.snus.2019.03.05.2019B019.

摘要

基于灵敏度分析，结合Tikhonov正则化和置信域约束，将时滞系统的参数识别反问题转化为一个标准的非线性最小二乘优化问题，提出一种基于响应灵敏度法的时滞系统的参数识别方法。以一个单自由度的线性时滞系统模型为例，对加速度进行灵敏度分析，然后进行参数识别。参数识别的数值模拟表明：该方法能有效识别简单时滞系统的参数，且具有识别精度高、收敛速度快、对噪声不大敏感的优点。

Abstract

Based on sensitivity analysis

by introducing Tikhonov regularization and trust-region restriction

the inverse problem of delayed system - parameter identification is transformed into a normal nonlinear least squares optimization problem with trust region

and a parameter identification method for delayed system based on response sensitivity approach is proposed. A single-degree-of-freedom linear delayed system model is studied and the sensitivity analysis of acceleration is carried out. The numerical simulation of parameter identification shows that the proposed method can effectively identify the parameters of simple delayed system

and has the advantages of high identification accuracy

fast convergence speed and less sensitivity to noise. This numerical example verifies the feasibility and efficiency of the response sensitivity approach in the practical parameter identification of delayed systems.

关键词

时滞微分方程参数识别灵敏度法置信域约束

Keywords

delay differential equations (DDE)parameter identificationresponse sensitivity approachtrust-region restriction

references

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