This paper focuses on the output consensus problem over a clustered network of heterogeneous agents. We are interested in the case where the communication topology is a fixed, directed graph within each cluster and a strongly connected, directed graph among clusters. Besides, each cluster has a leader that can instantly communicate with other leaders in different clusters. The heterogeneous agents’ goal is to achieve output consensus under the presence of different disturbances on agents. We propose a novel output consensus protocol. Each agent has an observer, allowing the reconstruction of the state and disturbances, and a virtual model, which considers both the continuous communication within the virtual clusters and discrete information across the inter-virtual cluster. We establish the equivalence between the output consensus over the clustered network and the virtual models’ consensus on the virtual clustered network. A sufficient condition for the consensus on virtual models based on matrices and graph theories is derived. Moreover, we provide a sufficient and necessary condition for the clustered network’s output consensus under different disturbances. Finally, we validate our theoretical results through an illustrative example.
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