Resilient controller design for stochastic control systems under periodic DoS jamming attacks

In this paper, we investigate the problem of the resilient controller design for a class of stochastic control systems under periodic denial-of-service (DoS) jamming attacks. First, a new switched stochastic system model is constructed, including the impacts of the DoS jamming attacks. Second, the DoS attack parameter dependent time-varying stochastic Lyapunov function is introduced to analyze stability of the switched stochastic system. The mean square exponential stability criterion for stochastic systems is given, and the system has
$L_{2}$
-gain performance. In the meantime, the design scheme of the resilient controller is presented. An air vehicle system is finally taken as an example to show the effectiveness of the obtained theoretical results.