Title
Stabilization of a hierarchical formation of unicycle robots with velocity and curvature constraints
Abstract
The paper proposes a new geometric approach to the stabilization of a hierarchical formation of unicycle robots. Hierarchical formations consist of elementary leader-follower units disposed on a rooted tree: each follower sees its relative leader as a fixed point in its own reference frame. Robots' linear velocity and trajectory curvature are forced to satisfy some given bounds. The major contribution of the paper is to study the effect of these bounds on the admissible trajectories of the main leader. In particular, we provide recursive formulas for the maximum velocity and curvature allowed for the main leader, so that the robots can achieve the desired formation while respecting their input constraints. An original formation control law is proposed and the asymptotic stabilization is proved. Simulation experiments illustrate the theory and show the effectiveness of the proposed designs.
Year
DOI
Venue
2009
10.1109/TRO.2009.2026505
IEEE Transactions on Robotics
Keywords
Field
DocType
Robot kinematics,Motion control,Control systems,Multiagent systems,Robotic assembly,Tree graphs,Nonlinear control systems,Robot control,Mobile robots,Nonlinear systems
Constant linear velocity,Robot control,Curvature,Linear system,Control theory,Nonlinear control,Robot kinematics,Control engineering,Fixed point,Mobile robot,Mathematics
Journal
Volume
Issue
ISSN
25
5
1552-3098
Citations 
PageRank 
References 
20
1.02
20
Authors
4
Name
Order
Citations
PageRank
Luca Consolini127631.16
Fabio Morbidi226019.28
Domenico Prattichizzo32079177.15
Mario Tosques420516.95