Preservation of formation tracking under incomplete information and chaotic path-following

E. G. Hernandez-Martinez, J. J. Flores-Godoy, G. Fernandez-Anaya

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

This paper presents a formation tracking strategy based on local potential functions and the leader-followers scheme for a group of point robots moving in the space. A leader robot is chosen to follow a prescribed trajectory whilst the rest, considered as followers, are formed in an open chain configuration. The formation convergence and the path following, including chaotic trajectories, are guaranteed if every follower robot measures exactly the velocity of the next robot and the leader knows the velocity of the marching path. Then, we analyze the preservation of the formation using approximations of the velocities of robots and the chaotic path. These restrictions appear in real implementations in robots equipped by position sensors only and where the velocities functions are approximated by online numerical methods.

Original languageEnglish
Title of host publication3rd IFAC Conference on Analysis and Control of Chaotic Systems, CHAOS 2012
PublisherIFAC Secretariat
Pages137-142
Number of pages6
Edition12
ISBN (Print)9783902823021
DOIs
StatePublished - 2012
Externally publishedYes
Event3rd IFAC Conference on Analysis and Control of Chaotic Systems, CHAOS 2012 - Cancun, Mexico
Duration: 20 Jun 201222 Jun 2012

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number12
Volume45
ISSN (Print)1474-6670

Conference

Conference3rd IFAC Conference on Analysis and Control of Chaotic Systems, CHAOS 2012
Country/TerritoryMexico
CityCancun
Period20/06/1222/06/12

Keywords

  • Chaos
  • Formation Control
  • Mobile robots
  • Multi-robot systems
  • Path-following

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