A tracking controller for motion coordination of multiple mobile robots

This paper presents a new method for controlling a group of nonholonomic mobile robots to achieve predetermined formations without using global knowledge. Based on the dynamic leader-follower model, a reactive tracking controller is proposed to make each following robot maintain a desired pose to its leader, and the stability property of this controller is discussed using Lyapunov theory. By employing such controllers, the N-robot formation control problem can be decomposed into decentralized tracking problems between N-l followers and designated leaders. Additionally, graph theory is introduced to formalize general formation patterns in a simple but effective way and two types of switching between these formations are also proposed. Numerical simulations and physical robots experiments show the effectiveness of our approach.

[1]  Anouck Girard,et al.  Formation control of multiple vehicles using dynamic surface control and hybrid systems , 2003 .

[2]  Norihiko Adachi,et al.  Adaptive tracking control of a nonholonomic mobile robot , 2000, IEEE Trans. Robotics Autom..

[3]  Reinhard Diestel,et al.  Graph Theory , 1997 .

[4]  François Michaud,et al.  Dynamic robot formations using directional visual perception , 2002, IEEE/RSJ International Conference on Intelligent Robots and Systems.

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

[6]  Tzyh Jong Tarn,et al.  Rules and control strategies of multi-robot team moving in hierarchical formation , 2003, 2003 IEEE International Conference on Robotics and Automation (Cat. No.03CH37422).

[7]  Xingping Chen,et al.  Control of leader-follower formations of terrestrial UAVs , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[8]  Randal W. Beard,et al.  A decentralized approach to formation maneuvers , 2003, IEEE Trans. Robotics Autom..

[9]  Jindong Tan,et al.  Formation Control of Multiple Autonomous Robots: Theory and Experimentation , 2004, Intell. Autom. Soft Comput..

[10]  Maja J. Mataric,et al.  A general algorithm for robot formations using local sensing and minimal communication , 2002, IEEE Trans. Robotics Autom..

[11]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[12]  Maxime Gautier,et al.  Dynamic control of a nonholonomic mobile robot in Cartesian space , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[13]  Sergio Monteiro,et al.  Formation control for multiple mobile robots: a non-linear attractor dynamics approach , 2003, Proceedings 2003 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2003) (Cat. No.03CH37453).

[14]  Richard T. Vaughan,et al.  The Player/Stage Project: Tools for Multi-Robot and Distributed Sensor Systems , 2003 .

[15]  Christopher M. Clark,et al.  Motion planning for formations of mobile robots , 2004, Robotics Auton. Syst..

[16]  Xiaoming Hu,et al.  A control Lyapunov function approach to multiagent coordination , 2002, IEEE Trans. Robotics Autom..

[17]  Tucker R. Balch,et al.  Behavior-based formation control for multirobot teams , 1998, IEEE Trans. Robotics Autom..

[18]  Petter Ögren,et al.  A control Lyapunov function approach to multi-agent coordination , 2001 .

[19]  Xiaoming Hu,et al.  Control of mobile platforms using a virtual vehicle approach , 2001, IEEE Trans. Autom. Control..

[20]  Gaurav S. Sukhatme,et al.  Most valuable player: a robot device server for distributed control , 2001, Proceedings 2001 IEEE/RSJ International Conference on Intelligent Robots and Systems. Expanding the Societal Role of Robotics in the the Next Millennium (Cat. No.01CH37180).