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Distributed attitude synchronization using Backstepping and sliding mode control

Thunberg, Johan LU ; Song, Wenjun ; Hong, Yiguang and Hu, Xiaoming (2014) In Control Theory and Technology 12(1). p.48-55
Abstract

We consider the problem of attitude synchronization for systems of rigid body agents with directed topologies. Two different scenarios for the rotation matrices of the agents are considered. In the first scenario, the rotations are contained in a convex subset of SO(3), which is a ball of radius less than π/2, whereas in the second scenario the agents are contained in a subset of SO(3), which is a ball of radius less than π. Using a control law based on backstepping and sliding mode control, we provide distributed, semi-global, torque control laws for the agents so that the rotations asymptotically synchronize. The control laws for the agents in the first scenario only depend on the relative rotations between neighboring agents, whereas... (More)

We consider the problem of attitude synchronization for systems of rigid body agents with directed topologies. Two different scenarios for the rotation matrices of the agents are considered. In the first scenario, the rotations are contained in a convex subset of SO(3), which is a ball of radius less than π/2, whereas in the second scenario the agents are contained in a subset of SO(3), which is a ball of radius less than π. Using a control law based on backstepping and sliding mode control, we provide distributed, semi-global, torque control laws for the agents so that the rotations asymptotically synchronize. The control laws for the agents in the first scenario only depend on the relative rotations between neighboring agents, whereas the control laws in the second scenario depend on rotations defined in a global coordinate frame. Illustrative examples are provided where the synchronization is shown for both scenarios.

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Please use this url to cite or link to this publication:
author
; ; and
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Attitude synchronization, Distributed control, Multi-agent systems
in
Control Theory and Technology
volume
12
issue
1
pages
8 pages
publisher
Springer
external identifiers
  • scopus:84901838665
ISSN
2095-6983
DOI
10.1007/s11768-014-0094-1
language
English
LU publication?
no
id
450925f2-7bf5-44b5-975f-e2740ca5ec28
date added to LUP
2024-09-05 12:36:34
date last changed
2024-09-23 15:37:05
@article{450925f2-7bf5-44b5-975f-e2740ca5ec28,
  abstract     = {{<p>We consider the problem of attitude synchronization for systems of rigid body agents with directed topologies. Two different scenarios for the rotation matrices of the agents are considered. In the first scenario, the rotations are contained in a convex subset of SO(3), which is a ball of radius less than π/2, whereas in the second scenario the agents are contained in a subset of SO(3), which is a ball of radius less than π. Using a control law based on backstepping and sliding mode control, we provide distributed, semi-global, torque control laws for the agents so that the rotations asymptotically synchronize. The control laws for the agents in the first scenario only depend on the relative rotations between neighboring agents, whereas the control laws in the second scenario depend on rotations defined in a global coordinate frame. Illustrative examples are provided where the synchronization is shown for both scenarios.</p>}},
  author       = {{Thunberg, Johan and Song, Wenjun and Hong, Yiguang and Hu, Xiaoming}},
  issn         = {{2095-6983}},
  keywords     = {{Attitude synchronization; Distributed control; Multi-agent systems}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{48--55}},
  publisher    = {{Springer}},
  series       = {{Control Theory and Technology}},
  title        = {{Distributed attitude synchronization using Backstepping and sliding mode control}},
  url          = {{http://dx.doi.org/10.1007/s11768-014-0094-1}},
  doi          = {{10.1007/s11768-014-0094-1}},
  volume       = {{12}},
  year         = {{2014}},
}