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Mobile Formation Coordination and Tracking Control for Multiple Nonholonomic Vehicles

Peng, Xiuhui ; Sun, Zhiyong LU ; Guo, Kexin and Geng, Zhiyong (2020) In IEEE/ASME Transactions on Mechatronics 25(3). p.1231-1242
Abstract

This article addresses forward motion control for trajectory tracking and mobile formation coordination for a group of nonholonomic vehicles on SE(2). First, by constructing an intermediate attitude variable which involves vehicles' position information and desired attitude, the translational and rotational control inputs are designed in two stages to solve the trajectory tracking problem. Second, the coordination relationships of relative positions and headings are explored thoroughly for a group of nonholonomic vehicles to maintain a mobile formation with rigid-body motion constraints. We prove that, except for the cases of parallel formation and translational straight line formation, a mobile formation with strict rigid-body motion... (More)

This article addresses forward motion control for trajectory tracking and mobile formation coordination for a group of nonholonomic vehicles on SE(2). First, by constructing an intermediate attitude variable which involves vehicles' position information and desired attitude, the translational and rotational control inputs are designed in two stages to solve the trajectory tracking problem. Second, the coordination relationships of relative positions and headings are explored thoroughly for a group of nonholonomic vehicles to maintain a mobile formation with rigid-body motion constraints. We prove that, except for the cases of parallel formation and translational straight line formation, a mobile formation with strict rigid-body motion can be achieved if and only if the ratios of linear speed to angular speed for each individual vehicle are constants. Motion properties for mobile formation with weak rigid-body motion are also demonstrated. Thereafter, based on the proposed trajectory tracking approach, a distributed mobile formation control law is designed under a directed tree graph. The performance of the proposed controllers is validated by both numerical simulations and experiments.

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Please use this url to cite or link to this publication:
author
; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Forward motion, mobile formation coordination, nonholonomic vehicles, rigid-body motion
in
IEEE/ASME Transactions on Mechatronics
volume
25
issue
3
article number
8976229
pages
12 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:85086999685
ISSN
1083-4435
DOI
10.1109/TMECH.2020.2970505
language
English
LU publication?
yes
id
3a6a9cc6-2c3f-4046-8107-55762240fe19
date added to LUP
2020-07-08 12:59:45
date last changed
2022-04-18 23:20:37
@article{3a6a9cc6-2c3f-4046-8107-55762240fe19,
  abstract     = {{<p>This article addresses forward motion control for trajectory tracking and mobile formation coordination for a group of nonholonomic vehicles on SE(2). First, by constructing an intermediate attitude variable which involves vehicles' position information and desired attitude, the translational and rotational control inputs are designed in two stages to solve the trajectory tracking problem. Second, the coordination relationships of relative positions and headings are explored thoroughly for a group of nonholonomic vehicles to maintain a mobile formation with rigid-body motion constraints. We prove that, except for the cases of parallel formation and translational straight line formation, a mobile formation with strict rigid-body motion can be achieved if and only if the ratios of linear speed to angular speed for each individual vehicle are constants. Motion properties for mobile formation with weak rigid-body motion are also demonstrated. Thereafter, based on the proposed trajectory tracking approach, a distributed mobile formation control law is designed under a directed tree graph. The performance of the proposed controllers is validated by both numerical simulations and experiments.</p>}},
  author       = {{Peng, Xiuhui and Sun, Zhiyong and Guo, Kexin and Geng, Zhiyong}},
  issn         = {{1083-4435}},
  keywords     = {{Forward motion; mobile formation coordination; nonholonomic vehicles; rigid-body motion}},
  language     = {{eng}},
  number       = {{3}},
  pages        = {{1231--1242}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{IEEE/ASME Transactions on Mechatronics}},
  title        = {{Mobile Formation Coordination and Tracking Control for Multiple Nonholonomic Vehicles}},
  url          = {{http://dx.doi.org/10.1109/TMECH.2020.2970505}},
  doi          = {{10.1109/TMECH.2020.2970505}},
  volume       = {{25}},
  year         = {{2020}},
}