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Higher order mobile coverage control with applications to clustering of discrete sets

Jiang, Bomin ; Sun, Zhiyong LU ; Anderson, Brian D.O. and Lageman, Christian (2019) In Automatica 102. p.27-33
Abstract

Most current results on coverage control using mobile sensors require that one partitioned cell is associated with precisely one sensor. In this paper, we consider a class of coverage control problems involving higher order Voronoi partitions, motivated by applications where more than one sensor is required to monitor and cover one cell. Such applications are frequent in scenarios requiring the sensors to localize targets. We introduce a framework depending on a coverage performance function incorporating higher order Voronoi cells and then design a gradient-based controller which allows the multi-sensor system to achieve a local equilibrium in a distributed manner. The convergence properties are studied and related to Lloyd algorithm.... (More)

Most current results on coverage control using mobile sensors require that one partitioned cell is associated with precisely one sensor. In this paper, we consider a class of coverage control problems involving higher order Voronoi partitions, motivated by applications where more than one sensor is required to monitor and cover one cell. Such applications are frequent in scenarios requiring the sensors to localize targets. We introduce a framework depending on a coverage performance function incorporating higher order Voronoi cells and then design a gradient-based controller which allows the multi-sensor system to achieve a local equilibrium in a distributed manner. The convergence properties are studied and related to Lloyd algorithm. We study also the extension to coverage of a discrete set of points and its applications to clustering of discrete sets.

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author
; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Distributed control, Localization, Mobile robots, Modelling for control optimization, Multi-agent systems, Sensor networks
in
Automatica
volume
102
pages
7 pages
publisher
Elsevier
external identifiers
  • scopus:85060135189
ISSN
0005-1098
DOI
10.1016/j.automatica.2018.12.028
language
English
LU publication?
yes
id
c3dbcfd6-761f-4186-8ea6-8655b5b4d147
date added to LUP
2019-01-28 11:34:43
date last changed
2025-04-04 15:08:44
@article{c3dbcfd6-761f-4186-8ea6-8655b5b4d147,
  abstract     = {{<p>Most current results on coverage control using mobile sensors require that one partitioned cell is associated with precisely one sensor. In this paper, we consider a class of coverage control problems involving higher order Voronoi partitions, motivated by applications where more than one sensor is required to monitor and cover one cell. Such applications are frequent in scenarios requiring the sensors to localize targets. We introduce a framework depending on a coverage performance function incorporating higher order Voronoi cells and then design a gradient-based controller which allows the multi-sensor system to achieve a local equilibrium in a distributed manner. The convergence properties are studied and related to Lloyd algorithm. We study also the extension to coverage of a discrete set of points and its applications to clustering of discrete sets.</p>}},
  author       = {{Jiang, Bomin and Sun, Zhiyong and Anderson, Brian D.O. and Lageman, Christian}},
  issn         = {{0005-1098}},
  keywords     = {{Distributed control; Localization; Mobile robots; Modelling for control optimization; Multi-agent systems; Sensor networks}},
  language     = {{eng}},
  pages        = {{27--33}},
  publisher    = {{Elsevier}},
  series       = {{Automatica}},
  title        = {{Higher order mobile coverage control with applications to clustering of discrete sets}},
  url          = {{http://dx.doi.org/10.1016/j.automatica.2018.12.028}},
  doi          = {{10.1016/j.automatica.2018.12.028}},
  volume       = {{102}},
  year         = {{2019}},
}