Abstract
This article investigates the asynchronous mixed $H_{\infty } $ and passive control for discrete-time switched systems subject to denial-of-service (DoS) attacks and communication resource constraints. In order to alleviate the communication pressure, an event-triggered mechanism (ETM) is adopted. However, due to the introduction of ETM, the asynchronous phenomenon may occur between the subsystem and controller. In addition, DoS attacks can have adverse effects on system performance by interfering with communication channels. To address the above issues, a weighted mixed $H_{\infty } $ and passivity performance criterion is adopted to balance disturbance attenuation and energy dissipation. On this basis, the Lyapunov function method is used to design the average dwell time (ADT) switching signal, ensuring that the asynchronous switched system is globally uniformly asymptotically stable (GUAS). Meanwhile, the design strategy of the controller is presented in the form of linear matrix inequalities (LMIs). Finally, the effectiveness of the proposed method is demonstrated through a practical example.