Dynamic Event-Triggered H∞ Control for Networked Control Systems With Denial-of-Service Attacks

A dynamic event-triggered ${\mathcal H}_{\infty }$ control for networked control systems (NCSs) subject to denial-of-service (DoS) attacks is investigated in this brief. Firstly, the DoS attacks model in communication channel are established based on stochastic variables that obey the Bernoulli distribution, and the attacks rate over network along with switching rules are described. Secondly, the dynamic event-triggered mechanism (DETM) is applied to weaken the influence of DoS attacks and avoid excessive transmission. The threshold parameters under the event-trigger condition can be adjusted by the dynamic characteristics of the systems. Thirdly, by using Lyapunov-Krasovskii functional (LKF) and Linear matrix inequality (LMI) methods, a sufficient condition for NCSs to satisfy the asymptotic stability of given ${\mathcal H}_{\infty }$ is obtained. In addition, a cooperative design scheme of DETM parameters and controller gain is proposed. Finally, a RLC series circuit systems is used as an example to show the effectiveness of the method.