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Fault detection for switched systems based on reachable set estimation.

Minxin Zhao1, Sha Fu1, Hong Sang2

  • 1School of Electronic and Information Engineering, University of Science and Technology, Anshan, Liaoning 114051, China.

ISA Transactions
|April 2, 2026
PubMed
Summary
This summary is machine-generated.

This study introduces a new method for sensor fault detection in discrete-time switched systems. The approach enhances fault detection accuracy and reduces false alarms and missed detections.

Keywords:
Fault detectionFault sensitivityPeak-bounded disturbancesReachable set estimation

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Area of Science:

  • Control Systems Engineering
  • Fault Detection and Diagnosis
  • Systems Theory

Background:

  • Discrete-time switched systems are prone to sensor faults, which can compromise system performance and safety.
  • Existing fault detection methods often struggle with disturbances and time delays inherent in these systems.

Purpose of the Study:

  • To develop an advanced sensor fault detection method for discrete-time switched systems.
  • To address challenges posed by peak-bounded disturbances and time delays.
  • To improve the accuracy and reliability of fault detection.

Main Methods:

  • Utilized multiple Lyapunov-Krasovskii functionals and free weight matrices for accurate residual reachable set estimation.
  • Integrated fault sensitivity analysis with reachable set estimation using an l- performance index.
  • Designed an evaluation mechanism based on the set membership relationship between residual and reachable set.

Main Results:

  • The proposed method accurately estimates the residual reachable set under disturbances.
  • The l- performance index effectively balances disturbance robustness and fault sensitivity.
  • Simulation studies confirmed superior performance compared to existing approaches.

Conclusions:

  • The developed method provides accurate sensor fault detection for discrete-time switched systems.
  • It demonstrates significant improvements in detection accuracy, false alarm rate, and false negative rate.
  • The approach offers enhanced detection effectiveness for various fault types.