Title
On the internal dynamics of formations of unicycle robots
Abstract
This paper studies a general class of formations of unicycle robots. One of the robots plays the role of the leader and the formation is induced through a constraint function F that depends on the position and the orientation of the vehicles. We investigate the flexibility of such formations with respect to the leader's reference frame by introducing the notion of formation internal dynamics, we characterize its equilibria and provide sufficient conditions for their existence. The theory is specialized to a particular constraint function F that leads to a formation where robot i follows a convex combination of the positions of the preceding i-1 robots. Sufficient conditions are presented in this scenario that guarantee that the position and orientation of the vehicles with respect to the leader's reference frame are confined in a specific polyhedral region, regardless of the trajectory of the leader, provided that its curvature is sufficiently small.
Year
DOI
Venue
2010
10.1109/CDC.2010.5717188
Decision and Control
Keywords
Field
DocType
mobile robots,multi-robot systems,position control,robot dynamics,constraint function,formation internal dynamics,polyhedral region,unicycle robots,vehicle orientation
Reference frame,Robot control,Computer science,Control theory,Convex combination,Robot kinematics,Vehicle dynamics,Robot,Mobile robot,Trajectory
Conference
ISSN
ISBN
Citations 
0743-1546
978-1-4244-7745-6
0
PageRank 
References 
Authors
0.34
12
4
Name
Order
Citations
PageRank
Luca Consolini127631.16
Fabio Morbidi226019.28
Domenico Prattichizzo32079177.15
Mario Tosques420516.95