A formation control framework based on Lyapunov approach

A general control framework for a formation system composed of a team of nonholonomic wheeled mobile robots (WMRs) considering the formation dynamics under static connection structure but subject to dynamic connection stability is proposed in this paper. Hence, a rigorous formation theory is obtained essentially based on the differential structure of the formation system. With this result, a case design using a Lyapunov based control complying with the proposed formation theory is provided to demonstrate the capability and feasibility of the proposed framework. Finally, the wander-mode simulation with three WMRs is conducted while the formation configuration may be changing on-line. It is believed that the present results can be further extended to many applications involving the nonlinear multi-agent system.

[1]  George J. Pappas,et al.  Consistent abstractions of affine control systems , 2002, IEEE Trans. Autom. Control..

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

[3]  Jindong Tan,et al.  Modeling and Controller Design for Multiple Mobile Robots Formation Control , 2004, 2004 IEEE International Conference on Robotics and Biomimetics.

[4]  K. Lynch Nonholonomic Mechanics and Control , 2004, IEEE Transactions on Automatic Control.

[5]  Walter Murray Wonham,et al.  Hierarchical control of discrete-event systems , 1996, Discret. Event Dyn. Syst..

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

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

[8]  S. Shankar Sastry,et al.  Hierarchically consistent control systems , 2000, IEEE Trans. Autom. Control..

[9]  Xiaoming Hu,et al.  Formation constrained multi-agent control , 2001, Proceedings 2001 ICRA. IEEE International Conference on Robotics and Automation (Cat. No.01CH37164).