Finite-Time $H_{\infty}$ Filtering for State-Dependent Uncertain Systems With Event-Triggered Mechanism and Multiple Attacks

This paper is concerned with finite-time $H_{\infty }$ filtering problem for networked state-dependent uncertain systems with event-triggered mechanism and multiple attacks, which consists of deception attacks, denial-of-service (DoS) attacks and replay attacks. A novel multiple attacks model is firstly proposed for state-dependant uncertain systems with consideration of the randomly occurring replay attacks, DoS attacks and deception attacks in a unified framework. In order to save the limited resource, an event-triggered mechanism is used to ease the communication burden in real communication environment. Then, by using Lyapunov-Krasocskii stability theory and linear matrix inequality techniques, sufficient conditions guaranteeing the exponentially mean-square finite-time boundedness of filtering error systems are obtained. Moreover, the explicit expression is derived for the parameters of the desired finite-time filter. Finally, two illustrative examples are employed to demonstrate the validity and applicability of the proposed theoretical approach in electronic circuits.