Robust consensus tracking of a class of second-order multi-agent dynamic systems

In this paper, a robust consensus tracking problem for a class of second-order multi-agent systems has been addressed in the presence of disturbances and unmodeled dynamics. The desired trajectory to be tracked is only provided to a small group of team members. An identifier is developed to estimate the unknown disturbances and unmodeled dynamics. A continuous consensus tracking controller is developed based on this identifier to achieve asymptotic consensus tracking using the local information obtained from neighboring agents. A sufficient condition is derived to ensure consensus tracking and asymptotic stability of the closed-loop system using algebraic graph theory, Lyapunov-based analysis, and an invariance-like theorem. Numerical simulations are provided to demonstrate the effectiveness of the developed robust consensus controller.