A Mathematical Introduction to Robotic Manipulation
A Mathematical Introduction to Robotic Manipulation
Decentralized Schemes for Size Estimation in Large and Dynamic Groups
NCA '05 Proceedings of the Fourth IEEE International Symposium on Network Computing and Applications
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
The Null-Space-based Behavioral Control for Mobile Robots with Velocity Actuator Saturations
International Journal of Robotics Research
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In this paper we consider cooperative manipulation problems where a large group (swarm) of non-articulated mobile robots is trying to cooperatively control the velocity of some larger rigid body by exerting forces around its perimeter. We consider a second-order dynamic model for the object but use a simplified contact model. We seek solutions that require minimal information sharing among the swarm members. We present a velocity control law that is asymptotically stable. In the case of a constant desired velocity, it is shown that no coordination is required between the swarm members. For more complex trajectories we introduce a decentralized feed-forward component that uses an online consensus estimate of the swarm's configuration. The results are illustrated in simulation.