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Adaptive Event-Triggered Consensus of Multiagent Systems on Directed Graphs

Li, Xianwei ; Sun, Zhiyong LU ; Tang, Yang and Karimi, Hamid Reza (2021) In IEEE Transactions on Automatic Control 66(4). p.1670-1685
Abstract

This article systematically studies consensus of linear multiagent systems (MASs) on directed graphs through adaptive event-triggered control. It presents innovative adaptive event-triggered state-feedback protocols with novel composite event-triggering conditions. Two specific designs in terms of different event-triggering conditions and laws of adaption are first discussed for linear MASs on strongly connected directed graphs, which are then extended to general directed graphs that contain a spanning tree. Moreover, another adaptive event-triggered protocol is proposed for solving leader-follower consensus that tracks a leader of a bounded control input. The protocols inherit the merits of both adaptive control and event-triggered... (More)

This article systematically studies consensus of linear multiagent systems (MASs) on directed graphs through adaptive event-triggered control. It presents innovative adaptive event-triggered state-feedback protocols with novel composite event-triggering conditions. Two specific designs in terms of different event-triggering conditions and laws of adaption are first discussed for linear MASs on strongly connected directed graphs, which are then extended to general directed graphs that contain a spanning tree. Moreover, another adaptive event-triggered protocol is proposed for solving leader-follower consensus that tracks a leader of a bounded control input. The protocols inherit the merits of both adaptive control and event-triggered control: the protocols can be implemented in a fully distributed way, since the Laplacian is avoided in design, and each agent only needs to know the relative information between neighbors at discrete instants determined by event-triggering conditions. Compared with the existing related results, the proposed protocols are applicable for linear MASs on general directed graphs, and moreover, the time-dependent term in the event-triggering conditions is allowed to be a class of positive L1 functions. Two numerical examples clearly verify the effectiveness of the proposed protocols.

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author
; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Adaptive control, consensus, directed graphs, event-triggering control, multiagent systems (MASs)
in
IEEE Transactions on Automatic Control
volume
66
issue
4
article number
9112274
pages
16 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:85103447169
ISSN
0018-9286
DOI
10.1109/TAC.2020.3000819
language
English
LU publication?
yes
id
0973d92f-afc7-422c-940b-87cae2f2d95d
date added to LUP
2021-04-12 09:42:48
date last changed
2022-04-27 01:25:33
@article{0973d92f-afc7-422c-940b-87cae2f2d95d,
  abstract     = {{<p>This article systematically studies consensus of linear multiagent systems (MASs) on directed graphs through adaptive event-triggered control. It presents innovative adaptive event-triggered state-feedback protocols with novel composite event-triggering conditions. Two specific designs in terms of different event-triggering conditions and laws of adaption are first discussed for linear MASs on strongly connected directed graphs, which are then extended to general directed graphs that contain a spanning tree. Moreover, another adaptive event-triggered protocol is proposed for solving leader-follower consensus that tracks a leader of a bounded control input. The protocols inherit the merits of both adaptive control and event-triggered control: the protocols can be implemented in a fully distributed way, since the Laplacian is avoided in design, and each agent only needs to know the relative information between neighbors at discrete instants determined by event-triggering conditions. Compared with the existing related results, the proposed protocols are applicable for linear MASs on general directed graphs, and moreover, the time-dependent term in the event-triggering conditions is allowed to be a class of positive L1 functions. Two numerical examples clearly verify the effectiveness of the proposed protocols. </p>}},
  author       = {{Li, Xianwei and Sun, Zhiyong and Tang, Yang and Karimi, Hamid Reza}},
  issn         = {{0018-9286}},
  keywords     = {{Adaptive control; consensus; directed graphs; event-triggering control; multiagent systems (MASs)}},
  language     = {{eng}},
  number       = {{4}},
  pages        = {{1670--1685}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{IEEE Transactions on Automatic Control}},
  title        = {{Adaptive Event-Triggered Consensus of Multiagent Systems on Directed Graphs}},
  url          = {{http://dx.doi.org/10.1109/TAC.2020.3000819}},
  doi          = {{10.1109/TAC.2020.3000819}},
  volume       = {{66}},
  year         = {{2021}},
}