Fixed-Time Super Twisting Sliding Mode Average Consensus of Perturbed Multi-Agent Systems

This manuscript discusses fixed-time average consensus control for second-order multi-agent systems in the presence of disturbance. Communication among agents is considered undirected. The proposed control scheme uses a new fixed-time super-twisting sliding-mode consensus protocol to address the matched disturbance in the agents. The sliding manifold for the super-twisting control is designed based on the existing fixedtime protocol, which guarantees that the sliding phase is fixedtime. Using the bi-limit homogeneity method and the Lyapunov stability theory, the average consensus can be obtained over a fixed time. Finally, simulations illustrate the effectiveness of the proposed controllers.