A Method for Degradation Modeling and Prediction Based on Inverse Gaussian Process Supported by Artificial Neural Network

Xiaochuan Duan, Di Liu, Shaoping Wang, Yaoxing Shang
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Abstract

This paper proposed a method based on inverse Gaussian process supported by the artificial neural network for degradation model and predict the lifetime. To overcome the uncertainly of the degradation path, we trained the artificial neural network to get the path of degradation. It is no longer necessary to assume the initial degradation when establishing the degradation model. The artificial neural network is trained by the run-to-failure degradation data. And the minus log-likelihood is used as the loss function. Considering the differences of individual, assumed that the parameters of IG process are obey Gamma distribution. The Gamma distribution parameters assessment by the method of moment estimation based on the degradation path trained by the artificial neural network. And predicted the lifetime by real-time degradation dataset. The method proposed is verified by the actual degradation dataset. The actual example results show that the degradation model based on inverse Gaussian process supported by the artificial neural network can represent the process of the degradation and predict the service life, though no prior knowledge about the degradation path.
基于反高斯过程的人工神经网络退化建模与预测方法
提出了一种基于反高斯过程的人工神经网络退化模型和寿命预测方法。为了克服退化路径的不确定性,我们训练人工神经网络来得到退化路径。在建立退化模型时,不再需要假设初始退化。人工神经网络通过运行失效退化数据进行训练。负对数似然被用作损失函数。考虑到个体差异,假设IG过程参数服从Gamma分布。采用基于人工神经网络训练的退化路径的矩估计方法评估伽玛分布参数。并利用实时退化数据集预测寿命。通过实际退化数据集验证了该方法的有效性。实例结果表明,在不知道退化路径的情况下,人工神经网络支持的基于反高斯过程的退化模型可以表征退化过程并预测寿命。
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