A novel approach to coordination of multiple robots with communication failures via proximity graph

In this paper, we investigate the coordination problem of multiple robots with limited communication ranges and communication failures. A novel rendezvous algorithm via proximity graph is developed so that the robot group can achieve rendezvous when the communication links satisfy an ergodic assumption. The convergence proof of the algorithm is established based on the tools from rooted graph theory. The effectiveness of the algorithm is illustrated by numerical examples in a 3D space.