3 years ago

Rapid Parameter Identification of Linear Time-delay System from Noisy Frequency Domain Data

Guang Liu, Min-li Yu, Li Wang, Zhi-yi Yin, Ji-ke Liu, Zhong-rong Lu

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.

Publisher URL: https://www.sciencedirect.com/science/article/pii/S0307904X20301414

DOI: 10.1016/j.apm.2020.03.015

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