International Journal of Control, Automation, and Systems 2024; 22(4): 1186-1200
https://doi.org/10.1007/s12555-023-0121-4
© The International Journal of Control, Automation, and Systems
This work studies the fault detection problem for continuous-time asynchronous switched systems. For residual signal generation, we design a fault detection sliding mode observer such that residual characterizes the fault sensitivity level by H_ performance, and its robustness to process disturbance is determined by H∞ performance. Specifically, the challenge entails addressing the phenomenon of asynchronous switching between the controlled object and the observer, where there is a delay between the switching of the subsystems and the observer. A piece-wise Lyapunov function and average dwell time approach are applied to resolve the asynchronous switching stability within matched and unmatched periods. A feasible solution is derived based on linear matrix inequalities. For effective fault detection, a residual evaluation scheme is provided with a threshold. Finally, simulation results on a buck-boost converter are furnished to validate the usefulness of the proposed approach.
Keywords Asynchronous switched systems, average dwell time, fault detection, H−/H∞ performance index, linear matrix inequality, sliding mode observer.
International Journal of Control, Automation, and Systems 2024; 22(4): 1186-1200
Published online April 1, 2024 https://doi.org/10.1007/s12555-023-0121-4
Copyright © The International Journal of Control, Automation, and Systems.
Shafqat Ali, Yuchen Jiang*, Hao Luo*, Muhammad Taskeen Raza, Shah Faisal, and Faizan Shahid
Harbin Institute of Technology
This work studies the fault detection problem for continuous-time asynchronous switched systems. For residual signal generation, we design a fault detection sliding mode observer such that residual characterizes the fault sensitivity level by H_ performance, and its robustness to process disturbance is determined by H∞ performance. Specifically, the challenge entails addressing the phenomenon of asynchronous switching between the controlled object and the observer, where there is a delay between the switching of the subsystems and the observer. A piece-wise Lyapunov function and average dwell time approach are applied to resolve the asynchronous switching stability within matched and unmatched periods. A feasible solution is derived based on linear matrix inequalities. For effective fault detection, a residual evaluation scheme is provided with a threshold. Finally, simulation results on a buck-boost converter are furnished to validate the usefulness of the proposed approach.
Keywords: Asynchronous switched systems, average dwell time, fault detection, H−/H∞ performance index, linear matrix inequality, sliding mode observer.
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