Event-Triggered Fault Detector and Controller Coordinated Design of Fuzzy Systems

Abstract

This paper attempts to propose a new solution to the event-triggered fault detection problem for discrete-time Takagi–Sugeno fuzzy systems in a network environment. First, for the original Takagi–Sugeno fuzzy system, our focus is on constructing a new based-network residual system, considering the event-triggering mechanism, interval time-varying delays, and packet dropouts. Under the established system, a less conservative basis-dependent stability condition is obtained by using the reciprocally convex technique, which ensures that the corresponding residual system is mean-square asymptotically stable with a given $\mathcal{H}_{\infty }$ performance. Second, the desired fuzzy-rule-dependent fault detector and the controller scheme are established using a variable substitution approach. Furthermore, these criteria can be transformed into convex optimization problems and then calculated by the standard optimization toolbox. Finally, the advantages of the proposed fault detector and controller coordinated design technique are illustrated by the simulation results.