Wan Xiongbo, Han Tizhuang, An Jianqi, Wu Min
IEEE Trans Cybern. 2022 Aug;52(8):8376-8387. doi: 10.1109/TCYB.2021.3049838. Epub 2022 Jul 19.
The issue of fault detection and isolation (FDI) under an event-triggered mechanism (ETM) is investigated for switched linear systems. An improved dynamic ETM (DETM), which includes some existing ETMs as special cases, is devised. Such a DETM contains two internal dynamic variables (IDVs), the mode information and seven adjustable parameters, and thus is flexible in adjusting the data packet transmissions to save network resources. The aim is to design a fault detection (FD) filter (FDF) and fault isolation filters (FIFs) such that the resultant filtering error systems are exponentially stable with prescribed exponential H performance. A new Lyapunov function, which depends on the switching mode and two IDVs, is constructed. By utilizing the Lyapunov method and the average dwell time approach, sufficient conditions are derived to guarantee the existence of the desired FDF and FIFs, whose design methods are given accordingly. A numerical example is provided to demonstrate the effectiveness of the FDI method and the superiority of the devised DETM in reducing the waste of network resources while maintaining the FD filtering performance.
针对切换线性系统，研究了事件触发机制（ETM）下的故障检测与隔离（FDI）问题。设计了一种改进的动态ETM（DETM），它将一些现有的ETM作为特殊情况包含在内。这种DETM包含两个内部动态变量（IDV）、模式信息和七个可调参数，因此在调整数据包传输以节省网络资源方面具有灵活性。目标是设计一个故障检测（FD）滤波器（FDF）和故障隔离滤波器（FIF），使得所得的滤波误差系统在规定的指数H性能下指数稳定。构造了一个依赖于切换模式和两个IDV的新李雅普诺夫函数。通过利用李雅普诺夫方法和平均驻留时间方法，推导了保证所需FDF和FIF存在的充分条件，并相应地给出了它们的设计方法。提供了一个数值例子来证明FDI方法的有效性以及所设计的DETM在减少网络资源浪费同时保持FD滤波性能方面的优越性。
