Average consensus problems of a class of multi-agent systems against perturbations

In this paper, indirect adaptive feedback control schemes are developed to solve the average consensus problem for a class of multi-agent systems with bounded perturbations. While the bound of perturbations is unknown, the adaptation laws are proposed to estimate the upper and lower bounds of perturbations on-line. Through the Lyapunov function and adaptive schemes, a class of distributed robust adaptive controllers is constructed to ensure average consensus of the state of network in the presence of external perturbations. Simulations are provided that demonstrate the effectiveness of our theoretical results.