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This paper presents novel solutions of the data-based synchronization problem for continuous-time multiagent systems. We consider the cases of homogeneous and heterogeneous systems. First, a data-based representation of the synchronization error dynamics is obtained for homogeneous systems, using input-state data collected from the agents. Then, we show how to extend existing data-based stabilization results to the multiagent case to stabilize the obtained synchronization errors. The proposed method relies on the solution of a set of linear matrix inequalities that are shown to be feasible. Then, we solve the synchronization problem for heterogeneous systems by means of dynamic controllers. Different from existing results, we do not require model knowledge for the followers and the leader. The theoretical results are finally validated using numerical simulations.
Lopez et al. (Mon,) studied this question.
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