Mathematical Models for Fault Detection and Diagnosis

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E2: Control Theory and Mechanics".

Deadline for manuscript submissions: 28 February 2026 | Viewed by 1624

Special Issue Editor


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Guest Editor
School of Traffic and Transportation Engineering, Central South University, Changsha 410083, China
Interests: failure analysis; fault diagnosis; structural health monitoring; damage detection; numerical methods

Special Issue Information

Dear Colleagues,

In numerous engineering and technological systems, the capability to detect and diagnose faults is of paramount importance for ensuring reliability, safety, and optimal performance. Mathematical modeling plays a pivotal role in this context, as it provides a rigorous framework for analyzing and understanding the underlying mechanisms of fault occurrence and propagation. This Special Issue focuses on the development and application of mathematical models for fault detection and diagnosis, with an emphasis on innovative approaches and computational methods.

The field of fault detection and diagnosis encompasses a wide range of application areas, including but not limited to mechanical systems, electrical networks, chemical processes, aerospace engineering, and cyber-physical systems. In each of these domains, specific mathematical models are required to capture the complex dynamics and interactions that lead to faults. These models may involve linear and nonlinear systems of equations, stochastic processes, hybrid systems, and machine learning techniques.

The theoretical and computational analysis of these mathematical models is a critical step in the design of effective fault detection and diagnosis algorithms. By leveraging the unique properties of the underlying models, researchers can devise efficient strategies for monitoring system behavior, identifying deviations from normal operation, and pinpointing the root causes of faults. This Special Issue aims to collect papers that showcase the latest advancements in this field, with a particular focus on the algebraic, analytic, and statistical aspects of fault detection and diagnosis models.

Contributions are encouraged from researchers working on the development of novel mathematical models, the analysis of their theoretical properties, and the design of efficient computational methods for fault detection and diagnosis. Papers that demonstrate the practical applicability of these models in real-world systems and that provide insights into the challenges and opportunities in this research area are particularly welcome. This Special Issue seeks to foster interdisciplinary collaboration and to advance the state of the art in mathematical modeling for fault detection and diagnosis.

Dr. Jinsong Yang
Guest Editor

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Keywords

  • mathematical models
  • fault detection
  • diagnosis
  • computational methods
  • system reliability
  • failure analysis
  • structural health monitoring
  • damage detection

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Published Papers (1 paper)

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Research

16 pages, 5572 KiB  
Article
Real-World Steam Powerplant Boiler Tube Leakage Detection Using Hybrid Deep Learning
by Salman Khalid, Muhammad Muzammil Azad and Heung Soo Kim
Mathematics 2024, 12(24), 3887; https://doi.org/10.3390/math12243887 - 10 Dec 2024
Viewed by 1123
Abstract
The detection of boiler water-wall tube leakage in steam power plants is essential to prevent efficiency loss, unexpected shutdowns, and costly repairs. This study proposes a hybrid deep learning approach that combines convolutional neural networks (CNNs) with a support vector machine (SVM) classifier [...] Read more.
The detection of boiler water-wall tube leakage in steam power plants is essential to prevent efficiency loss, unexpected shutdowns, and costly repairs. This study proposes a hybrid deep learning approach that combines convolutional neural networks (CNNs) with a support vector machine (SVM) classifier to allow early and accurate leak detection. The methodology utilizes temperature data from multiple sensors positioned at critical points in the boiler system. The data of each sensor are independently processed by a dedicated CNN model, allowing for the autonomous extraction of sensor-specific features. These features are then fused to create a comprehensive feature representation of the system’s condition, which is analyzed by an SVM classifier to accurately identify leakages. By utilizing the feature extraction capabilities of CNNs and the classification strength of an SVM, this approach effectively identifies subtle operational anomalies that are indicative of potential leaks. The model demonstrates high detection accuracy and minimizes false-positives, providing a robust solution for real-time monitoring and proactive maintenance strategies in industrial systems. Full article
(This article belongs to the Special Issue Mathematical Models for Fault Detection and Diagnosis)
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