Dynamic Event-Triggered $H_{\infty}$ Fault Detection for Linear Discrete Time Systems with Multiplicative Noises

This paper presents a novel dynamic event-triggered
$H_{\infty}$
fault detection scheme for linear discrete-time systems with multiplicative noises. To save the communication resources, a dynamic event-triggered mechanism is employed, where the event-triggered condition is changed dynamically. The aim of the problem addressed is to design an event-triggered residual generator such that the generated residual signal is completely decoupled from the event-triggered transmission error. By means of the stochastic analysis method and recursive linear matrix inequality technique, some sufficient conditions are established to guarantee that the fault detection system satisfies a prescribed
$H_{\infty}$
performance constraints. Finally, a numerical example is provided to demonstrate the validity of the proposed method.