Group-consensus with Reference States for Heterogeneous Multiagent Systems via Pinning Control

This paper considers group-consensus with reference states for heterogeneous multiagent systems, which is composed of first-order agents and second-order agents. The pinning scheme is induced for solving group-consensus under fixed and switching topologies, respectively. Firstly, a group-consensus control protocol via pining scheme under fixed topology is proposed. Then the corresponding sufficient conditions to guarantee group-consensus are deduced by employing graph theory and Lyapunov stability approach. What’s more, based on pinning scheme, the agents in every group can reach their own group’s reference states. Secondly, the group-consensus for heterogeneous multiagent systems with switching topologies is studied, where an equivalent system of the original multiagent system is obtained by model transformation. Then, the corresponding sufficient conditions to guarantee group-consensus are obtained based on the corresponding graph theory and Lyapunov stability approach. The same as the case of fixed topology, the agents in every group can also reach their own group’s reference states by employing pinning control. Finally, some simulation examples are presented to illustrate the capabilities of the established theories.