Departmental Papers (MEAM)

Document Type

Journal Article

Subject Area

GRASP

Date of this Version

12-1-2001

Comments

Copyright 2001 IEEE. Reprinted from IEEE Transactions on Robotics and Automation, Volume 17, Number 6, December 2001, pages 905-908.
Publisher URL: http://ieeexplore.ieee.org/xpl/tocresult.jsp?isNumber=21064&puNumber=70

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Abstract

This paper addresses the control of a team of nonholonomic mobile robots navigating in a terrain with obstacles while maintaining a desired formation and changing formations when required, using graph theory.We model the team as a triple, (g, r, H), consisting of a group element g that describes the gross position of the lead robot, a set of shape variables r that describe the relative positions of robots, and a control graph H that describes the behaviors of the robots in the formation. Our framework enables the representation and enumeration of possible control graphs and the coordination of transitions between any two formations.

Keywords

Formation control of mobile robots, graph theory, nonlinear control

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Date Posted: 15 November 2004

This document has been peer reviewed.