Distributed Event-Driven $ {\ell }_\infty$ Filtering in Switched Delayed Systems Over Sensor Networks Against Switching Signal Attacks

This paper investigates distributed$\ell _{\infty }$filtering problem for discrete-time switched delayed systems (DTSDSs) in sensor networks (SNs) with dynamic event-triggered communication. Given that the presence of attacks can compromise the integrity and availability of data, as well as the critical role of switching signals in shaping the behavior of switched systems, a novel event-driven distributed filter is explored in scenarios where the switching signal of the controller experiences a denial-of-service (DoS) attack, characterized by bounded attack frequency and duration. It is significant to mention that the persistent and recurrent nature of attacks compromises the transmission of switching signals, resulting in significant asynchronous discrepancies between the switching of the filtering error system (FES) and the controller. To address the asynchronous behavior induced by DoS attacks, a piecewise time-dependent Lyapunov-Krasovskii functional (PTLKF) tailored to the characteristics of DTSDSs is proposed. Subsequently, sufficient conditions with reduced conservatism are formulated to ensure the exponential stability of the FES, while also guaranteeing an enhanced$\ell _{\infty }$disturbance attenuation performance. Finally, two simulation examples are provided to exemplify the superiority and applicability of the proposed filtering technique.