Steering hierarchical formations of unicycle robots

In this paper a stabilizing control scheme to steer hierarchical formations of unicycle robots is proposed. Hierarchical formations are characterized by modular leader-follower units suitably interconnected. Robots linear velocity and trajectory curvature are forced to satisfy some given bounds. An original contribution of the paper is the study of the effect of these bounds on the admissible paths of the robots and the derivation of formulae. A peculiar feature of the proposed control strategy is that the position of the follower in the basic unit is not rigidly fixed with respect to the leader but varies in proper circle arcs centered in the leader reference frame. Simulation experiments illustrate the theory and show the effectiveness of the proposed design.

[1]  D. Prattichizzo,et al.  On the Control of a Leader-Follower Formation of Nonholonomic Mobile Robots , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[2]  René Vidal,et al.  Distributed Formation Control with Omnidirectional Vision-Based Motion Segmentation and Visual Servoing , 2004 .

[3]  D.L. Odell,et al.  A leader-follower algorithm for multiple AUV formations , 2004, 2004 IEEE/OES Autonomous Underwater Vehicles (IEEE Cat. No.04CH37578).

[4]  Thor I. Fossen,et al.  Guidance and control of ocean vehicles , 1994 .

[5]  Manfredi Maggiore,et al.  Necessary and sufficient graphical conditions for formation control of unicycles , 2005, IEEE Transactions on Automatic Control.

[6]  Richard M. Murray,et al.  INFORMATION FLOW AND COOPERATIVE CONTROL OF VEHICLE FORMATIONS , 2002 .

[7]  Camillo J. Taylor,et al.  A vision-based formation control framework , 2002, IEEE Trans. Robotics Autom..

[8]  John L. Junkins,et al.  Spacecraft Formation Flying Control using Mean Orbit Elements , 2000 .

[9]  S. Shankar Sastry,et al.  Following the flock [formation control] , 2004, IEEE Robotics & Automation Magazine.

[10]  Nancy M. Amato,et al.  Shepherding behaviors , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[11]  S. M. Shahruz,et al.  Formation of a group of unmanned aerial vehicles (UAVs) , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[12]  Veysel Gazi,et al.  Swarm aggregations using artificial potentials and sliding mode control , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[13]  Domenico Prattichizzo,et al.  A Geometric Characterization of Leader-Follower Formation Control , 2007, Proceedings 2007 IEEE International Conference on Robotics and Automation.

[14]  George J. Pappas,et al.  Leader-Follower Formations: Uncalibrated Vision-Based Localization and Control , 2007, Proceedings 2007 IEEE International Conference on Robotics and Automation.