Robust fixed‐time connectivity preserving consensus of nonlinear multi‐agent systems with disturbance
Fenglan Sun, Feng Wang, Peiyong Liu, Jürgen Kurths · International Journal of Robust and Nonlinear Control · 2021
Abstract 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.