Event‐Triggered l2−l∞$$ {l}_2-{l}_{\infty } $$ Filtering for Discrete‐Time Switched Systems Under Denial‐of‐Service Attacks

ABSTRACT This paper investigates the event‐triggered filtering problem for discrete‐time switched systems subject to denial‐of‐service attacks. To address the mismatch between the filter modes and the system modes induced by the event‐triggered strategy, the mode‐dependent average dwell time switching law is introduced to guarantee the global uniform exponential stability of the switched filtering error system with the performance. Unlike traditional average dwell time, which relies on a fixed dwell time threshold, mode‐dependent average dwell time dynamically assigns mode‐dependent dwell time thresholds, significantly improving flexibility in stability analysis and filter design during asynchronous intervals. Furthermore, collaborative design methods for the filter and event‐triggered parameters under denial‐of‐service attacks are provided. Finally, the feasibility and applicability of the proposed approach are demonstrated through a numerical example and the model of a boost converter controlled by pulse‐width modulation.