State-Based Fault Diagnosis of Finite-State Vector Discrete-Event Systems via Integer Linear Programming
Qinrui Chen1, Mubariz Garayev2, Ding Liu1
1School of Electro-Mechanical Engineering, Xidian University, Xi'an 710071, China.
Sensors (Basel, Switzerland)
|March 17, 2025
Summary
This study introduces a new method for verifying K-diagnosability and performing fault diagnosis in vector discrete-event systems (Vector DES) using state-based outputs and integer linear programming.
Area of Science:
- Control Systems Engineering
- Discrete-Event Systems Analysis
- Fault Diagnosis and Verification
Background:
- Finite-state vector discrete-event systems (Vector DES) present challenges in fault diagnosis due to partially observable states from limited sensors.
- Existing methods struggle with the complexity of Vector DES, which feature arithmetic additive structures in state and transition functions.
Purpose of the Study:
- To develop a state-based method for verifying K-diagnosability in Vector DES.
- To enable online fault diagnosis for Vector DES using partially observable outputs.
- To establish a necessary and sufficient condition for K-diagnosability verification.
Main Methods:
- Utilizing integer linear programming (ILP) for K-diagnosability verification.
- Employing a mathematical representation of Vector DES.
- Implementing predicate-based analysis to partition system outputs for fault detection.
- Applying ILP for online fault diagnosis.
Main Results:
- A necessary and sufficient condition for K-diagnosability verification in finite-state Vector DES based on sensor outputs is established.
- The proposed method effectively diagnoses faults online by analyzing subsets of system state outputs.
- The efficacy of the approach is demonstrated through illustrative examples.
Conclusions:
- The presented state-based method provides a robust framework for K-diagnosability verification and online fault diagnosis in Vector DES.
- Integer linear programming is a powerful tool for addressing complex diagnostic problems in discrete-event systems.
- The predicate-based output partitioning enhances the efficiency and accuracy of fault detection.
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