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In this study, a new consensus problem is introduced for leader-follower multi-agent systems with non-linearity and a distributed adaptive iterative learning control is presented for the consensus problem. With the dynamic of the leader unknown to any of the agent, the proper protocol guarantees that the follower agents can track the leader. The consensus is analysed based on the Lyapunov stability theory. Finally, simulation examples are given to illustrate the effectiveness of the proposed method in this study.