Fractional Order Controller Design for Finite-Time Bipartite Consensus of a Kind of Multi-Agent Systems Based on Differential Embedding

In the existing research on the consensus of multi-agent systems, the controller designs are often based on the instant time information of state and state errors, how to further improve the convergence rate of consensus is a challenging problem. In this paper, a differential embedding method is used in the controller design, which can improve and accelerate the convergence speed. Moreover, a kind of fractional order of state and state error are used in the controller design, which can achieve the finite-time consensus of the concerned multi-agent systems. Finally, the proposed method is verified by the simulations.