Exponential and Finite-Time Consensus of Multiagent Systems via Curve Suppression Method

This article investigates the exponential and finite-time leader-following consensus of first and second order multi-agent systems (MASs). Unlike the finite-time Lyapunov method, the curve suppression method based on the exponential and linear suppression functions is respectively designed to achieve the exponential and finite-time leader-following consensus of MASs. Especially, the distributed controllers are designed to reduce communication between MASs, where does not require the design of complex fractional-order controllers to achieve finite-time consensus. Furthermore, the first-order consensus is extended to the second-order consensus by defining a new system state including position and velocity. Finally, the effectiveness of the suggested approach is verified through numerical simulations.