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Decentralized Discrete-Time Formation Control for Multirobot Systems
Author(s) -
E. G. Hernández-Martínez,
J.J. Flores-Godoy,
Guillermo FernándezAnaya
Publication year - 2013
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/2013/746713
Subject(s) - computer science , robot , convergence (economics) , mobile robot , omnidirectional antenna , collective behavior , position (finance) , graph , group (periodic table) , control (management) , distributed computing , artificial intelligence , theoretical computer science , telecommunications , organic chemistry , finance , sociology , anthropology , antenna (radio) , economics , economic growth , chemistry
Inspired from the collective behavior of biological entities for the group motion coordination, this paper analyzes the formation control of mobile robots in discrete time where each robot can sense only the position of certain team members and the group behavior is achieved through the local interactions of robots. The main contribution is an original formal proof about the globalconvergence to the formation pattern represented by an arbitrary Formation Graph using attractive potential functions. The analysis is addressed for the case of omnidirectional robots with numerical simulations

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