Global finite-time stabilization of second-order systems subject to mismatched disturbances with application to consensus

In this paper, the finite-time stabilization problem for second-order systems subject to mismatched disturbances is studied. By integrating the homogeneous control technique and the finite-time disturbance observer together, a kind of feedforward-feedback composite controllers are proposed. These controllers globally finite-time stabilize the disturbed systems. Moveover, the composite control method is also used to solve the finite-time consensus problem of leaderless second-order systems with mismatched disturbances. Simulations demonstrate the effectiveness of the proposed control algorithms.