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arXiv 2305.04670cs.LG
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基于RNN残差的数值积分分析及其在动态系统故障诊断中的应用

Analysis of Numerical Integration in RNN-Based Residuals for Fault Diagnosis of Dynamic Systems

Linköping University(林雪平大学)

Arman Mohammadi, Theodor Westny, Daniel Jung, Mattias Krysander

AI总结:

本文研究基于RNN的神经常微分方程残差中数值积分求解器选择的影响,通过重型卡车后处理系统案例,展示其提升故障诊断性能的潜力。

摘要:

数据驱动建模和机器学习被广泛用于模拟动态系统的行为。其中一个应用是技术系统的残差评估,即将模型预测与测量数据进行比较,以生成用于故障诊断应用的残差。虽然循环神经网络模型已被证明能够模拟复杂的非线性动态系统,但它们仅限于固定步长的离散时间仿真。然而,使用神经常微分方程建模,可以在特定时间评估状态变量,在训练模型时计算梯度,并使用标准数值求解器显式建模时间序列数据的潜在动态。本文研究了在训练和评估过程中,求解器选择对神经常微分方程残差性能的影响。论文包括一个重型卡车后处理系统的案例研究,以突出这些技术在提高故障诊断性能方面的潜力。

英文摘要:

Data-driven modeling and machine learning are widely used to model the behavior of dynamic systems. One application is the residual evaluation of technical systems where model predictions are compared with measurement data to create residuals for fault diagnosis applications. While recurrent neural network models have been shown capable of modeling complex non-linear dynamic systems, they are limited to fixed steps discrete-time simulation. Modeling using neural ordinary differential equations, however, make it possible to evaluate the state variables at specific times, compute gradients when training the model and use standard numerical solvers to explicitly model the underlying dynamic of the time-series data. Here, the effect of solver selection on the performance of neural ordinary differential equation residuals during training and evaluation is investigated. The paper includes a case study of a heavy-duty truck's after-treatment system to highlight the potential of these techniques for improving fault diagnosis performance.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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