A greedy data collection scheme for linear dynamical systems

IF 2.4 Q3 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE
Karim Cherifi, P. Goyal, P. Benner
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引用次数: 5

Abstract

Abstract Mathematical models are essential to analyze and understand the dynamics of complex systems. Recently, data-driven methodologies have gotten a lot of attention which is leveraged by advancements in sensor technology. However, the quality of obtained data plays a vital role in learning a good and reliable model. Therefore, in this paper, we propose an efficient heuristic methodology to collect data both in the frequency domain and the time domain, aiming at having more information gained from limited experimental data than equidistant points. In the frequency domain, the interpolation points are restricted to the imaginary axis as the transfer function can be estimated easily on the imaginary axis. The efficiency of the proposed methodology is illustrated by means of several examples, and its robustness in the presence of noisy data is shown.
线性动力系统的贪心数据采集方案
数学模型对于分析和理解复杂系统的动力学是必不可少的。最近,由于传感器技术的进步,数据驱动的方法得到了很多关注。然而,获得的数据质量对于学习一个好的、可靠的模型起着至关重要的作用。因此,在本文中,我们提出了一种有效的启发式方法来收集频域和时域的数据,旨在从有限的实验数据中获得比等距点更多的信息。在频域内,由于传递函数在虚轴上易于估计,插值点被限制在虚轴上。通过几个算例说明了该方法的有效性,并证明了该方法在存在噪声数据时的鲁棒性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
DataCentric Engineering
DataCentric Engineering Engineering-General Engineering
CiteScore
5.60
自引率
0.00%
发文量
26
审稿时长
12 weeks
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