A Reduced-Order Protocol for Bipartite Consensus of Linear Multi-Agent Systems

This paper proposes a new reduced-order dynamic output-feedback protocol to solve the bipartite consensus problem of homogeneous linear multi-agent systems. Necessary and sufficient conditions for the solvability of the bipartite consensus problem are derived and the consensus state trajectories are obtained in an explicit form. Compared with existing results, the novelties of the proposed protocol are two-fold: Firstly, the protocol relies on relative output information of agents within each group and secondly, the protocol state ultimately converges to zero if bipartite consensus is reached. Furthermore, a numerical example is given to show the effectiveness of the proposed protocol.