Robust leader-following consensus of cyber-physical systems with cyber attack via sampled-data control.

The leader-following consensus problem is investigated for complex cyber-physical systems under cyber attacks. The communication channels of the agents in the cyber-physical systems may be destroyed by attacks, and the damage is assumed to be repaired after a period of time by a restoration mechanism. Considering the parameter disturbance in the wireless communication, a robust sampled-data control law is designed so that the leader-following consensus can be achieved. The sampling period, attack length rate and attack frequency are analyzed on the basis of Lipschitz condition or QUAD condition, respectively. By using proper Lyapunov functional and inequality techniques, it is shown that robust leader-following consensus of cyber-physical systems with sampled-data control can be guaranteed under cyber attack. Finally, two examples are provided to confirm the theoretical results.