This paper investigates the event-based fault detection (FD) problem for a category of discrete-time interval type-2 fuzzy systems with measurement outliers. For the sake of decreasing the utilization of limited communication bandwidth, an event-based mechanism is introduced. Based on the saturation function technique, a novel event-based FD observer is first designed to reduce the influence of outliers in the dynamic systems. Then, on the basis of Lyapunov stability theory, sufficient conditions are provided to ensure that the error system satisfies the $ \mathcal{H}_{\infty} $ performance and the $ \mathcal{H}_{\infty} $ fault performance in different cases, respectively. In contrast to the existing event-based FD results, the false alarm, which is induced by measurement outliers, can be effectively avoided by the designed FD observer with saturation function. Lastly, some simulation results are given to verify the effectiveness of the method presented in this paper.

中文翻译：

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具有测量异常值的区间2型模糊系统基于事件的故障检测

本文研究了一类具有测量异常值的离散时间间隔2型模糊系统的基于事件的故障检测（FD）问题。为了减少对有限通信带宽的利用，引入了一种基于事件的机制。基于饱和函数技术，首先设计了一种新颖的基于事件的FD观察器，以减少动态系统中离群值的影响。然后，基于Lyapunov稳定性理论，提供了充分的条件以确保误差系统满足$ \ mathcal {H} _ {\ infty} $性能和$ \ mathcal {H} _ {\ infty} $故障在不同情况下的表现。与现有的基于事件的FD结果相反，由测量异常值引起的虚假警报，设计的具有饱和功能的FD观测器可以有效避免这种情况。最后，给出了一些仿真结果，验证了本文方法的有效性。