Dynamic Event-Triggered Quantized Control for Switched Systems Under DoS Attacks: A Min-Derivative Switching Strategy

Abstract

This article studies the $H_{\infty }$ control problem for switched systems with dynamic event-triggering and quantization schemes subject to denial-of-service (DoS) attacks. First, the resilient event-triggering and quantization schemes against DoS are developed, allowing the triggering parameter and quantization density to be dynamically adjusted. Subsequently, we introduce a time-dependent piecewise Lyapunov function that remains nonincreasing at discontinuity points. This function, along with an auxiliary functional, is dedicated to establishing criteria for the stability with $L_{2}$ gain property of switched systems, under which the frequency of DoS attacks no longer directly impacts the exponential stability decay rate. In contrast to the general min-switching rule, the min-derivative switching strategy in this article is formulated based on the derivative of Lyapunov function and serves to make the time-dependent Lyapunov function decrease. Moreover, the switching law ensures that switches occur only at discrete sampling instants, thereby avoiding Zeno behavior. Finally, two simulation examples are provided to illustrate the feasibility and superiority of our approaches.