中山大学学报(自然科学版) ›› 2020, Vol. 59 ›› Issue (4): 74-78.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 

吴蓉, 刘济科, 吕中荣, 汪利   

  1. 中山大学航空航天学院,广东 广州 510006
  • 收稿日期:2019-03-05 出版日期:2020-07-25 发布日期:2020-07-25
  • 通讯作者: 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
  • 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

Parameter identification of delayed system based on response sensitivity approach 

WU Rong, LIU Jike, LU Zhongrong, WANG Li   

  1. School of Aeronautics and Astronautics, Sun Yat-sen University, Guangzhou  510006, China
  • Received:2019-03-05 Online:2020-07-25 Published:2020-07-25

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。

关键词: 时滞微分方程, 参数识别, 灵敏度法, 置信域约束

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.

Key words: delay differential equations (DDE), parameter identification, response sensitivity approach, trust-region restriction

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