Adaptive rigidity-based formation control for multirobotic vehicles with dynamics

In this brief, we introduce a graph rigidity-based, adaptive formation control law for multiple robotic vehicles moving on the plane that explicitly accounts for the vehicle dynamics while allowing for parametric uncertainty. We consider a class of vehicles modeled by Euler-Lagrange-like equations of motion. The control is designed via backstepping, and exploits rigid graph theory and the structural properties of the system dynamics. A Lyapunov analysis shows that the desired formation is acquired asymptotically. A five-vehicle simulation is used to illustrate the proposed formation acquisition control.