Skip to main content
Contribution to Book
Hybrid Consensus-Based Formation Control of Nonholonomic Mobile Robots
Studies in Systems, Decision and Control: Handling Uncertainty and Networked Structure in Robot Control
  • Haci M. Guzey
  • Travis Dierks
  • Jagannathan Sarangapani, Missouri University of Science and Technology
Abstract

In this chapter, a hybrid consensus-based formation controller is designed for mobile robots. First, omnidirectional (holonomic) robots are considered in the controller development to create a hybrid automaton, which drives the robots to their goal positions while maintaining a specified formation. The controller consists of two discrete modes, each with continuous dynamics: a regulation mode and a formation keeping mode. The controller in the regulation mode is designed to drive the robot to a goal position, while the formation keeping controller ensures that the robots achieve a specified geometric formation prior to reaching their goal-position. The proposed approach is subsequently extended to include formation control of nonholonomic mobile robots. Lyapunov methods are used to demonstrate that the formation errors converge to a small bounded region around the origin; moreover, the size of the bound can be adjusted by using the switching conditions. Convergence to goal position while in formation is also demonstrated in the same Lyapunov analysis, and simulation results verify the theoretical conjectures.

Department(s)
Electrical and Computer Engineering
Research Center/Lab(s)
Intelligent Systems Center
International Standard Book Number (ISBN)
978-3-319-26325-0
Document Type
Book - Chapter
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2015 Springer Verlag, All rights reserved.
Publication Date
1-1-2015
Publication Date
01 Jan 2015
Citation Information
Haci M. Guzey, Travis Dierks and Jagannathan Sarangapani. "Hybrid Consensus-Based Formation Control of Nonholonomic Mobile Robots" Studies in Systems, Decision and Control: Handling Uncertainty and Networked Structure in Robot Control Vol. 42 (2015) p. 335 - 360 ISSN: 2198-4182; 2198-4190
Available at: http://works.bepress.com/jagannathan-sarangapani/211/