Impulsive Control for Nonlinear Systems Under DoS Attacks: A Dynamic Event-Triggered Method

Abstract

In this brief, the impulsive control problem is addressed for a class of unstable nonlinear systems under denial-of-service (DoS) attacks. A dynamic event-triggered impulsive control (DETIC) method is proposed to achieve asymptotic stability for the resulting closed-loop systems. A new class of impulsive control systems with dynamic event-triggered impulse instants are formulated, and some easily verifiable conditions are provided. The introduction of internal dynamic variable facilitates the regulation of the control frequency. Here, Zeno behaviors can be easily excluded by the proposed method. Finally, two examples, which include a Chua’s circuit and a numerical example, are given to demonstrate the efficiency of the method.