A pursuit strategy for wheeled-vehicle formations

Inspired by the so-called "bugs" problem from mathematics, we propose a cyclic pursuit strategy for multi-vehicle formations. A particular version of this pursuit problem is studied for a system of n wheeled vehicles, each subject to a single nonholonomic constraint, towards the achievement of certain trajectories in the plane. A full stability analysis is provided for the special case when n = 2 and it is revealed how the system's global behaviour can be shaped through appropriate controller gain assignments.

[1]  Jie Lin,et al.  Coordination of groups of mobile autonomous agents using nearest neighbor rules , 2003, IEEE Trans. Autom. Control..

[2]  Maja J. Mataric,et al.  Issues and approaches in the design of collective autonomous agents , 1995, Robotics Auton. Syst..

[3]  V. Braitenberg.  Vehicles, Experiments in Synthetic Psychology , 1984 .

[4]  Kevin M. Passino,et al.  Stability analysis of swarms , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[5]  Alberto Isidori,et al.  Nonlinear Control Systems II , 1999 .

[6]  Paul Keng-Chieh Wang.  Navigation strategies for multiple autonomous mobile robots moving in formation , 1991, J. Field Robotics.

[7]  E. W. Justh,et al.  A Simple Control Law for UAV Formation Flying , 2002 .

[8]  Israel A. Wagner,et al.  From Ants to A(ge)nts: A Special Issue on Ant-Robotics , 2001, Annals of Mathematics and Artificial Intelligence.

[9]  Ichiro Suzuki,et al.  Distributed motion coordination of multiple mobile robots , 1990, Proceedings. 5th IEEE International Symposium on Intelligent Control 1990.

[10]  Alfred M. Bruckstein,et al.  Why the ant trails look so straight and nice , 1993 .