Event-triggered stabilization of linear plants subject to periodic Denial-of-Service attacks and disturbances

This paper focuses on the stability problem of networked control systems under Denial-of-Service attacks. It is assumed that the sensor-to-controller and the controller-to-actuator channels are independent and would not be attacked simultaneously due to the limited energy of attackers. The improved event-triggering mechanisms with Acknowledge signals are proposed. By using a time-varying piecewise Lyapunov functional, some sufficient conditions of the stability of the closed-loop systems are derived based on the event-triggering conditions and system parameters. Meanwhile, the relationships among the jammer period, the convergence rate and the divergence rate of the closed-loop systems are established. Finally, several examples are given to illustrate the feasibility and efficiency of the proposed results.