Zonotopic Fault Detection for Fuzzy Systems With Event-Triggered Transmission

Xudong Wang, Zhongyang Fei, Jianbin Qiu, Huijun Gao · IEEE Transactions on Fuzzy Systems · 2020

This article deals with the zonotopic fault detection for fuzzy systems with event-triggered mechanism. An$\ell _1/h_{\infty }$fault detector design method is deduced with considering the asynchronous premise variables caused by event-triggered transmission, such that the residual signal is sensitive to system failure while robust to amplitude-bounded disturbance, and noise. Then, a novel zonotopic residual evaluation process is constructed by converting the asynchronization of premise variables into system uncertainties. Different from most published works on event-triggered fault detection where constant thresholds are utilized for residual evaluation, zonotopic thresholds for residual signal are designed with taking the influences of disturbance, noise, asynchronous premise variables, and event-based transmission into consideration. Finally, a numerical example is utilized to verify the effective performance of the developed strategy.

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