Rapid parameter identification of linear time-delay system from noisy frequency domain data
Rapid parameter identification of linear time-delay system from noisy frequency domain data
复制标题
基于噪声频域数据的线性时滞系统参数快速辨识
DOI：
10.1016/j.apm.2020.03.015
复制
发表时间：
2020-07-01
影响因子：
5
通讯作者：
Lu, Zhong-rong
中科院分区：
文献类型：
--
作者：
Liu, Guang;Yu, Min-li;Lu, Zhong-rong
识别系统参数的技术引起了广泛的研究兴趣，因为知道参数可以实现有效的系统控制策略和准确的响应预测。本文提出了一种通过分析复杂系统的频域响应来辨识线性时滞微分系统参数的新方法。首先，将时滞系统的复频率响应表示为物理参数和时滞参数的函数，形成一个典型的优化问题。然后，导出了相对于未知参数的灵敏度。在识别过程中采用了一种新的基于灵敏度的算法。采用Tikhonov正则化实现信任域约束，有效地提高了算法的效率。通过辨识两个数值时滞系统的参数和一个实验实例，验证了该辨识方法的可行性和鲁棒性。(C) 2020爱思唯尔公司版权所有。
The technique to identify the system parameters thereof has attracted extensive research interest, since knowing the parameters would enable effective system control strategy and accurate response prediction. In this paper, a novel approach is developed to identify the parameters of the linear time-delay differential system by analyzing the complex system response in the frequency domain. Firstly, the complex frequency response of the time-delay system is expressed as a function of physical parameters and time-delay parameters, forming a typical optimization problem. Subsequently, the sensitivities with respect to the unknown parameters are derived. A novel sensitivity-based algorithm is adopted in the identification procedure. Trust-region constraint is implemented and hence tackled by Tikhonov regularization, which effectively enhances the efficiency of the algorithm. The feasibility and robustness of the identification procedure are evaluated by identifying the parameters of two numerical time-delay systems and an experimental case. (C) 2020 Elsevier Inc. All rights reserved.