Dynamic switched periodic event-triggered control systems under denial-of-service attacks

Periodic event-triggered control (PETC) can save network bandwidth and sensor energy at the same time; therefore, it is a promising approach for applications, especially large scale plants, such as smart water distribution systems. This work extend PETC by considering denial of service (DoS) attacks. For the PETC, a dynamic variable is introduced with a switched strategy. Different from other dynamic variables, our variable keeps store energy when there is no attacks and only release energy when attacks happen. Thus, the inter-event intervals when attacks happen can be prolonged while guarantees the same stability and performance. If the variable equals to 0 before the ending of the attacks, then characteristic of the attack duration is analyzed to guarantee a slower Lyapunov convergence rate. The presented approach is verified via a numerical example from smart water distribution systems.