Event-Triggered Fuzzy Filtering for Networked Systems With Application to Sensor Fault Detection

Abstract

This article concerns the event-triggered fault detection filtering problem for nonlinear networked control systems. First, an event-triggered scheme with two trigger matrices is proposed by considering limited network resources; a fuzzy fault detection filter with a general structure is chosen as the residual generator. Then, we introduce a new event-based residual system by taking into consideration the interval time-varying delays. Sufficient conditions are obtained to guarantee that the event-based residual system is asymptotically stable and satisfies a prescribed $\mathcal {H}_{\infty }$ performance with the help of a reciprocally convex technique. Furthermore, some new relaxation matrices are introduced such that the corresponding solvability conditions can be established by means of a linearization procedure. Finally, examples are given to illustrate the effectiveness and advantages of the proposed new fault detection filtering techniques.