Consensus Control of Hierarchical Multi-agent Systems with Constant and Time-Varying Delays


Rikhtegar Ghiasi A., Dehghani Aghbolagh H., Hashemzadeh F., Baradarannia M.

Iranian Journal of Science and Technology - Transactions of Electrical Engineering, vol.42, no.4, pp.479-484, 2018 (SCI-Expanded) identifier

Abstract

In this paper, the consensus problem of hierarchical multi-agent systems has been addressed. A novel approach is employed to divide the agents into different groups with different number of agents. In each group, agents communicate with each other under a constant delay. However, the groups in the upper layer interact with each other with a time-varying delay. The topologies of the groups are also considered to be different. In order to prove the stability of the system, a Lyapunov–Krasovskii functional is employed, and proper conditions for the consensus of this hierarchical system are provided via LMIs. Finally, the results of this research are validated through simulations.