Fixed-time consensus protocol design for disturbed second-order multi-agent systems

In this paper, we study the problem of fixed-time consensus tracking control for disturbed second-order integrator systems. Firstly, for dealing with the external disturbance, an observer is proposed such that the estimation errors converge to zero with a fixed settling time. Then, a distributed fixed-time control law is proposed by using the homogeneous method. The rigorous proof shows that the achievement of fixed-time consensus tracking control. Finally, the effectiveness of the theoretical results is provided through a numerical example.