Optimal Energy Transmission Scheduling in Event-Triggered Redundant Channel of Cyber-Physical Systems Against DoS Attacks

The paper investigates the optimal energy scheduling in event-triggered redundant channel of cyber-physical systems (CPSs) to defend against Denial-of-Service (DoS) attacks. We consider an online DoS attack with pause and restart rules, and a redundant channel with average energy restriction is employed for transmission when consecutive packet loss occurs. In addition, an event-triggered mechanism is incorporated into the redundant channel to determine the activation instants. Aiming to minimize the average expected estimation error covariance, the optimal energy scheduling and the corresponding energy level are proposed. Furthermore, the specific interval where the optimal triggering threshold may be located is also discussed. Finally, a numerical simulation example is given to verify the effectiveness of our results.