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Updated: Apr 3, 2026

Design and Analysis for Fall Detection System Simplification
Published on: April 6, 2020
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.
None:
A class of discrete-time switched systems with peak-bounded disturbances and time delays is investigated for sensor fault detection. By constructing multiple Lyapunov-Krasovskii functionals and combining with the free weight matrix, the accurate estimation of the residual reachable set under disturbances is realized. The fault sensitivity analysis is integrated with the reachable set estimation through introducing the l- performance index, which balances disturbance robustness and fault sensitivity. This evaluation mechanism is designed according to the set membership relationship between the residual and the reachable set. The final simulation study confirms that the proposed method not only accurately detects faults but also has superior advantages in detection accuracy, false alarm rate, and false negative rate for different fault types, outperforming the comparison approach in detection effectiveness.
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