Asynchronous filtering of discrete‐time switched systems using a flexible event‐triggered strategy

This paper investigates the problem of event‐triggered asynchronous filtering for discrete‐time switched systems with unknown perturbations. Unlike existing studies, which typically assume synchronous switching or allow at most one switching within an interevent interval, this work explicitly considers the multiple asynchronous switchings phenomena caused by the coupling between system switching signals and event‐triggering signals. To overcome this issue, a novel adaptive dynamic event‐triggered mechanism (ETM) with switching structure is developed. This design allows flexible tuning of the triggering frequency while ensuring timely filter updates. A new stability criterion is established using an augmented Lyapunov functional and an average dwell‐time (ADT) framework without imposing a minimum dwell‐time constraint, which reduces conservatism. Furthermore, a codesign strategy for the asynchronous filter and the mode‐dependent ETM is achieved by using the linearization technique. The proposed method guarantees a weighted ‐gain performance, and its effectiveness is demonstrated through a numerical example involving a switched electrical circuit.