Consensus control for distributed parameter multi-agent systems with multi-state-time-delay via iterative learning

This paper considers consensus control problem of repetitive linear parabolic distributed parameter multi-agent systems. The system has a fixed topology, which is affected by multi-state-time-delay. When the initial state of the system is not zero, this P-type iterative learning control algorithm is proposed. After enough iterative learning, in the sense of L
²
norm, the consensus error between all agents can approach zero. And the simulation results also show the effectiveness of the algorithm.