Cluster Lag Consensus for Second-Order Multiagent Systems with Nonlinear Dynamics and Switching Topologies

Yi Wang, Yixiao Li, Zhongjun Ma, Guoyong Cai, Guanrong Chen · IEEE Transactions on Systems Man and Cybernetics Systems · 2018

Aiming to solve the cluster lag consensus (CLC) problem of networked nonlinear agents with a switching topologies, this paper proposes a control algorithm based on the measurements of position and velocity. When the network has several clusters of agents, under the conditions that each cluster is a strongly connected digraph including isolated agents, and at least one agent in each cluster can communicate with the common leader each time, a sufficient condition is derived for reaching CLC. Finally, a numerical simulation is demonstrated to validate the proposed control algorithm and the developed conditions.

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