Title
Non-rigid formations of nonholonomic robots
Abstract
The paper deals with a general class of leader-follower formations of unicycle robots induced by a constraint function that depends on the position and the orientation of the vehicles. We study the flexibility of such formations by introducing the notion of formation internal dynamics, characterize its equilibria and give sufficient geometric conditions for their existence. In particular, we show that the displacement and the relative orientation of each follower with respect to the leader's reference frame are fixed if and only if the robots either move along circular paths or parallel straight lines. These equilibrium configurations always exist if the trajectory of the leader is a circle of sufficiently small curvature or a straight line.
Year
DOI
Venue
2010
10.1109/ROBOT.2010.5509641
Robotics and Automation
Keywords
Field
DocType
mobile robots,motion control,path planning,circular paths,constraint function,internal dynamic formation,nonholonomic robot,nonrigid formation,parallel straight lines,unicycle robots
Reference frame,Motion planning,Line (geometry),Curvature,Control theory,Control engineering,Vehicle dynamics,Robot,Trajectory,Mobile robot,Mathematics
Conference
ISSN
ISBN
Citations 
1050-4729 E-ISBN : 978-1-4244-5040-4
978-1-4244-5040-4
1
PageRank 
References 
Authors
0.36
10
4
Name
Order
Citations
PageRank
Luca Consolini1163.07
Fabio Morbidi291.97
Domenico Prattichizzo32079177.15
Mario Tosques420516.95