A generalized diffusion model for remaining useful life prediction with uncertainty

Abstract Forecasting the remaining useful life (RUL) is a crucial aspect of prognostics and health management (PHM), which has garnered significant attention in academic and industrial domains in recent decades. The accurate prediction of RUL relies on the creation of an appropriate degradation mode...

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Main Authors: Bincheng Wen, Xin Zhao, Xilang Tang, Mingqing Xiao, Haizhen Zhu, Jianfeng Li
Format: Article
Language:English
Published: Springer 2025-01-01
Series:Complex & Intelligent Systems
Subjects:
Online Access:https://doi.org/10.1007/s40747-024-01773-w
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author Bincheng Wen
Xin Zhao
Xilang Tang
Mingqing Xiao
Haizhen Zhu
Jianfeng Li
author_facet Bincheng Wen
Xin Zhao
Xilang Tang
Mingqing Xiao
Haizhen Zhu
Jianfeng Li
author_sort Bincheng Wen
collection DOAJ
description Abstract Forecasting the remaining useful life (RUL) is a crucial aspect of prognostics and health management (PHM), which has garnered significant attention in academic and industrial domains in recent decades. The accurate prediction of RUL relies on the creation of an appropriate degradation model for the system. In this paper, a general representation of diffusion process models with three sources of uncertainty for RUL estimation is constructed. According to time-space transformation, the analytic equations that approximate the RUL probability distribution function (PDF) are inferred. The results demonstrate that the proposed model is more general, covering several existing simplified cases. The parameters of the model are then calculated utilizing an adaptive technique based on the Kalman filter and expectation maximization with Rauch-Tung-Striebel (KF-EM-RTS). KF-EM-RTS can adaptively estimate and update unknown parameters, overcoming the limits of strong Markovian nature of diffusion model. Linear and nonlinear degradation datasets from real working environments are used to validate the proposed model. The experiments indicate that the proposed model can achieve accurate RUL estimation results.
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institution Kabale University
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publishDate 2025-01-01
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series Complex & Intelligent Systems
spelling doaj-art-c204cb04f96b4dd3b86dc25a22b07d262025-02-09T13:01:02ZengSpringerComplex & Intelligent Systems2199-45362198-60532025-01-0111212110.1007/s40747-024-01773-wA generalized diffusion model for remaining useful life prediction with uncertaintyBincheng Wen0Xin Zhao1Xilang Tang2Mingqing Xiao3Haizhen Zhu4Jianfeng Li5ATS Lab, Air Force Engineering UniversityATS Lab, Air Force Engineering UniversityEquipment Management and UAV Engineering College, Air Force Engineering UniversityATS Lab, Air Force Engineering UniversityATS Lab, Air Force Engineering UniversityBeijing Aeronautical Technology Research CenterAbstract Forecasting the remaining useful life (RUL) is a crucial aspect of prognostics and health management (PHM), which has garnered significant attention in academic and industrial domains in recent decades. The accurate prediction of RUL relies on the creation of an appropriate degradation model for the system. In this paper, a general representation of diffusion process models with three sources of uncertainty for RUL estimation is constructed. According to time-space transformation, the analytic equations that approximate the RUL probability distribution function (PDF) are inferred. The results demonstrate that the proposed model is more general, covering several existing simplified cases. The parameters of the model are then calculated utilizing an adaptive technique based on the Kalman filter and expectation maximization with Rauch-Tung-Striebel (KF-EM-RTS). KF-EM-RTS can adaptively estimate and update unknown parameters, overcoming the limits of strong Markovian nature of diffusion model. Linear and nonlinear degradation datasets from real working environments are used to validate the proposed model. The experiments indicate that the proposed model can achieve accurate RUL estimation results.https://doi.org/10.1007/s40747-024-01773-wRemaining useful lifeKalman filterGeneral diffusion modelPrognostic
spellingShingle Bincheng Wen
Xin Zhao
Xilang Tang
Mingqing Xiao
Haizhen Zhu
Jianfeng Li
A generalized diffusion model for remaining useful life prediction with uncertainty
Complex & Intelligent Systems
Remaining useful life
Kalman filter
General diffusion model
Prognostic
title A generalized diffusion model for remaining useful life prediction with uncertainty
title_full A generalized diffusion model for remaining useful life prediction with uncertainty
title_fullStr A generalized diffusion model for remaining useful life prediction with uncertainty
title_full_unstemmed A generalized diffusion model for remaining useful life prediction with uncertainty
title_short A generalized diffusion model for remaining useful life prediction with uncertainty
title_sort generalized diffusion model for remaining useful life prediction with uncertainty
topic Remaining useful life
Kalman filter
General diffusion model
Prognostic
url https://doi.org/10.1007/s40747-024-01773-w
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