Fixed-time output-feedback consensus tracking control for second-order multiagent systems

This paper is concerned with the problem of fixed-time consensus tracking control for a class of second-order multiagent systems under an undirected communication graph. A distributed output-feedback fixed-time consensus tracking control scheme is proposed to make the states of all individual agents simultaneously track a time-varying reference state even when the reference state is available only to a subset of the group members and only output measurements are available for feedback. Homogeneous Lyapunov function and homogeneity property are employed to show that the control scheme can guarantee the consensus tracking errors converging the origin in finite time which is bounded by a fixed constant independent of initial conditions. Numerical simulations are carried out to demonstrate the effectiveness of the proposed control law.