Sliding mode control for robot formations

In this paper, we present a sliding mode controller to coordinate a team of nonholonomic robots in a leader-following configuration. We consider a two-vehicle team that is required to follow a prescribed trajectory while maintaining a desired formation. We show that under certain reasonable assumptions the formation is stable; that is, robots are able to maintain a desired distance and relative bearing. The stability properties of the closed-loop system are studied using Lyapunov theory. Numerical simulations as well as experimental results verify the validity of our approach.

[1]  Frank L. Lewis,et al.  Control of a nonholomic mobile robot: Backstepping kinematics into dynamics , 1997 .

[2]  David A. Schoenwald,et al.  Decentralized control of cooperative robotic vehicles: theory and application , 2002, IEEE Trans. Robotics Autom..

[3]  Meir Pachter,et al.  Input-output Invertibility and Sliding Mode Control for Close Formation Flying of Multiple UAVS , 2000 .

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

[5]  Vijay Kumar,et al.  Cooperative Control of Robot Formations , 2002 .

[6]  Jin Young Choi,et al.  Sliding mode tracking control of nonholonomic wheeled mobile robots , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[7]  Carlos Canudas-de-Wit,et al.  Nonlinear control for a convoy-like vehicle , 2000, Autom..

[8]  Jong-Hwan Kim,et al.  Sliding mode control for trajectory tracking of nonholonomic wheeled mobile robots , 1999, IEEE Trans. Robotics Autom..

[9]  Kar-Han Tan,et al.  High Precision Formation Control of Mobile Robots Using Virtual Structures , 1997, Auton. Robots.

[10]  Vijay Kumar,et al.  Controlling formations of multiple mobile robots , 1998, Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146).

[11]  Vijay Kumar,et al.  Hybrid control of formations of robots , 2001, Proceedings 2001 ICRA. IEEE International Conference on Robotics and Automation (Cat. No.01CH37164).

[12]  Randal W. Beard,et al.  A decentralized approach to elementary formation manoeuvres , 2000, Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065).

[13]  Naomi Ehrich Leonard,et al.  Virtual leaders, artificial potentials and coordinated control of groups , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).