Title
Leader-Follower Formation Control of Nonholonomic Mobile Robots with Bearing-Only Measurements
Abstract
This paper investigates the leader-follower formation control problem of nonholonomic vehicles. An estimator is first developed to estimate the relative position in its local coordinate system with bearing measurements, to avoid directly using positions or relative positions in the global reference frame. A control law is then proposed for the follower vehicle to follow the leader based on the estimated relative position. It is shown that the estimation error converges to zero, if some conditions on the relative angular velocity between the leader and the follower are satisfied. It is also shown that the stability of the closed loop system involving both the estimator and the controller is guaranteed if some mild conditions on the trajectory of the leader are satisfied. Extension to the case of multiple followers is also considered. Simulation results of numerical examples verify the effectiveness of the proposed control scheme.
Year
DOI
Venue
2020
10.1016/j.jfranklin.2019.11.025
Journal of the Franklin Institute
Field
DocType
Volume
Coordinate system,Reference frame,Control theory,Angular velocity,Control theory,Bearing (mechanical),Nonholonomic system,Mathematics,Trajectory,Estimator
Journal
357
Issue
ISSN
Citations 
3
0016-0032
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
Ziwen Yang100.68
Shanying Zhu213021.54
Cai-Lian Chen383198.98
Gang Feng47753468.09
Xinping Guan52791253.38