Adaptive distributed dynamic surface formation controller design for multi-robot systems

This paper presents a distributed formation control scheme for multi-robot systems, where a set of dynamic equations of differential wheeled robots can be obtained from kinematics and dynamics analyses. Based on dynamic surface design techniques, the desired leader-follower formation control laws can be derived. It can be shown that all closed-loop signals are uniformly ultimately bounded using Lyapunov stability analysis. Finally, results of simulations and experiments verify that the desired formation pattern can be preserved for wheeled mobile robots with the presence of unknown uncertainties.