AI-Enabled Prognostics and Health Management: Mathematical Aspect and Engineering Applications

A Special Issue of Mathematics (ISSN 2227-7390) belonging to the section "E2: Control Theory and Mechanics".

Deadline for manuscript submissions: 31 January 2027 | Viewed by 755

Editors


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Guest Editor
School of Mechatronics Engineering, Harbin Institute of Technology, Harbin 150001, China
Interests: intelligent maintenance; digital twin technology for complex equipment; full life cycle management of civil aviation engines
School of Mechanical and Electrical Engineering, Harbin Institute of Technology, Harbin 150001, China
Interests: data imbalance; over-sampling; out-of-distribution samples; fault detection

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Guest Editor Assistant
Aeronautical Engineering Institute, Civil Aviation University of China, Tianjin 061102, China
Interests: reinforcement learning; process neural networks; Levenberg–Marquardt algorithm; convergence; optimization

Special Issue Information

Dear Colleagues,

This Special Issue of Mathematics focuses on the intersection of artificial intelligence and prognostics and health management (PHM), with a specific emphasis on underlying mathematical frameworks and their real-world engineering applications. As modern engineering systems grow in complexity, the ability to accurately predict remaining useful life and detect incipient faults is critical for ensuring safety and reliability. This collection invites contributions that explore advanced AI methodologies—such as deep learning, statistical modeling, and optimization algorithms—to address core PHM challenges, including handling data imbalance, out-of-distribution samples, and uncertainty quantification. The goal is to showcase cutting-edge research that bridges the gap between theoretical mathematical models and practical deployment in fields like aeronautics and mechatronics. We welcome original research articles and review papers that push the boundaries of data-driven fault detection and diagnostics, fostering collaboration between mathematicians and engineers to develop robust, intelligent health management solutions.

Prof. Dr. Lin Lin
Dr. Dan Liu
Guest Editors

Dr. Zhiqi Yan
Guest Editor Assistant

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Keywords

  • prognostics and health management (PHM)
  • remaining useful life (RUL) prediction
  • fault detection and diagnosis
  • condition-based maintenance
  • predictive maintenance
  • machine learning/deep learning
  • statistical learning theory
  • optimization algorithms
  • uncertainty quantification
  • signal processing
  • data imbalance
  • out-of-distribution (OOD) detection
  • over-sampling techniques
  • anomaly detection
  • aeronautics/aerospace engineering
  • mechatronics
  • industrial systems

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Published Papers (1 paper)

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Research

19 pages, 6096 KB  
Article
A Novel Hybrid Modeling Framework Integrating Feature Engineering for Battery Remaining Useful Life Prediction
by Ru Xiao, Jiyang Xu and Jiabo Li
Mathematics 2026, 14(12), 2214; https://doi.org/10.3390/math14122214 - 20 Jun 2026
Viewed by 357
Abstract
Accurate remaining useful life (RUL) prediction is critical for the reliable operation of lithium-ion batteries. Traditional data-driven methods often suffer from parameter redundancy and error accumulation in state prediction. This paper proposes a hybrid data-driven RUL prediction framework based on Gaussian process regression [...] Read more.
Accurate remaining useful life (RUL) prediction is critical for the reliable operation of lithium-ion batteries. Traditional data-driven methods often suffer from parameter redundancy and error accumulation in state prediction. This paper proposes a hybrid data-driven RUL prediction framework based on Gaussian process regression (GPR) optimized by the lightning search algorithm (LSA). First, both local and global indirect health features (HFs) are extracted from the external characteristic parameter curves and the incremental capacity curves during battery charging/discharging. Second, the Pearson correlation coefficient is applied to select highly relevant features, forming a compact feature set. Third, a GPR model is developed, and the LSA is introduced to optimize its hyperparameters, overcoming the tendency of the conjugate gradient method to fall into local optima or fail to converge. Experimental results under identical conditions show that the proposed LSA–GPR model achieves a prediction error of 3% or less. Full article
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