This article studies the fixed‐time tracking consensus of second‐order nonlinear multi‐agent systems with disturbance. To make the fixed‐time tracking consensus, a consensus protocol based on the integral sliding mode surface is proposed, which can ensure the adjacent agents remain within a limited communication range in the communication process. By adopting Lyapunov stability theory and matrix theory, sufficient conditions for the fixed‐time tracking consensus are given, and a bound of the settling time is obtained. Finally, a simulation example is presented to verify the potential correctness of the obtained results.

This paper studies the finite-time tracking consensus in probability of multi-agent systems with noises and time delay. By using the method of pinning control and observer, the system both with and without the leader as the root of a spanning tree is considered. According to algebraic graph theory, stochastic Lyapunov stability theory and control theory, sufficient conditions for the tracking consensus are given. Numerical simulations are given to verify the effectiveness of the main results.