Finite-Time Output Consensus of Higher-Order Multiagent Systems With Mismatched Disturbances and Unknown State Elements

This paper studies the finite-time output consensus problem of higher-order multiagent systems subject to both mismatched disturbances and unknown state elements, where the disturbances are allowed to be fast time-varying. To solve this problem, an active anti-disturbance control approach is developed based on the disturbance estimation/compensation and the baseline feedback consensus protocols. First, to estimate the matched/mismatched disturbances and the agents unknown state elements, a finite-time generalized state observer is constructed for each agent. Second, by integrating the distributed adding a power integrator feedback control method and the estimates of the matched/mismatched disturbances and the agents unknown state elements together, composite consensus protocols are developed for both leaderless and leader-follower cases. In both cases, the proposed protocols guarantee that the agents outputs reach consensus in finite time. Simulations show the effectiveness of the proposed consensus algorithms.