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Distributed and adaptive triggering control for networked agents with linear dynamics

Huang, Na ; Sun, Zhiyong LU ; Anderson, Brian D.O. and Duan, Zhisheng (2020) In Information Sciences 517. p.297-314
Abstract

This paper proposes distributed event-triggered schemes for achieving state consensus for multi-agent linear systems. For each agent modeled by a linear control system in Rn, a positive signal is embedded in its event function, with the aim of guaranteeing an asymptotic convergence to state consensus for networked linear systems interacted in an undirected and connected graph, and with Zeno triggering excluded for all the agents. The proposed distributed event-based consensus algorithm allows each agent to update its own control at its own triggering times instead of using continuous updates, which thereby avoids complicated computation steps involving data fusion and matrix exponential calculations as used in several... (More)

This paper proposes distributed event-triggered schemes for achieving state consensus for multi-agent linear systems. For each agent modeled by a linear control system in Rn, a positive signal is embedded in its event function, with the aim of guaranteeing an asymptotic convergence to state consensus for networked linear systems interacted in an undirected and connected graph, and with Zeno triggering excluded for all the agents. The proposed distributed event-based consensus algorithm allows each agent to update its own control at its own triggering times instead of using continuous updates, which thereby avoids complicated computation steps involving data fusion and matrix exponential calculations as used in several event-based control schemes reported in the literature. We further propose a totally distributed and adaptive event-based algorithm, in the sense that each agent utilizes only local measurements with respect to its neighboring agents in its event detection and control update. In this framework, the proposed algorithm is independent of any global network information such as Laplacian matrix eigenvalues associated with the underlying interaction graph. A positive L1 signal function is included in the adaptive event-based algorithm to guarantee asymptotic consensus convergence and Zeno-free triggering for all the agents. Simulations are provided to validate the performance and superiority of the developed event-based consensus strategies.

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author
; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
adaptive triggering control, event-triggering control, L functions, Multi-agent linear systems, Zeno-free behavior
in
Information Sciences
volume
517
pages
18 pages
publisher
Elsevier
external identifiers
  • scopus:85077514270
ISSN
0020-0255
DOI
10.1016/j.ins.2019.12.064
language
English
LU publication?
yes
id
d16eb085-4530-4ddf-bfc0-f546fe212d60
date added to LUP
2020-12-30 13:04:37
date last changed
2022-04-26 22:58:01
@article{d16eb085-4530-4ddf-bfc0-f546fe212d60,
  abstract     = {{<p>This paper proposes distributed event-triggered schemes for achieving state consensus for multi-agent linear systems. For each agent modeled by a linear control system in R<sup>n</sup>, a positive signal is embedded in its event function, with the aim of guaranteeing an asymptotic convergence to state consensus for networked linear systems interacted in an undirected and connected graph, and with Zeno triggering excluded for all the agents. The proposed distributed event-based consensus algorithm allows each agent to update its own control at its own triggering times instead of using continuous updates, which thereby avoids complicated computation steps involving data fusion and matrix exponential calculations as used in several event-based control schemes reported in the literature. We further propose a totally distributed and adaptive event-based algorithm, in the sense that each agent utilizes only local measurements with respect to its neighboring agents in its event detection and control update. In this framework, the proposed algorithm is independent of any global network information such as Laplacian matrix eigenvalues associated with the underlying interaction graph. A positive L<sup>1</sup> signal function is included in the adaptive event-based algorithm to guarantee asymptotic consensus convergence and Zeno-free triggering for all the agents. Simulations are provided to validate the performance and superiority of the developed event-based consensus strategies.</p>}},
  author       = {{Huang, Na and Sun, Zhiyong and Anderson, Brian D.O. and Duan, Zhisheng}},
  issn         = {{0020-0255}},
  keywords     = {{adaptive triggering control; event-triggering control; L functions; Multi-agent linear systems; Zeno-free behavior}},
  language     = {{eng}},
  pages        = {{297--314}},
  publisher    = {{Elsevier}},
  series       = {{Information Sciences}},
  title        = {{Distributed and adaptive triggering control for networked agents with linear dynamics}},
  url          = {{http://dx.doi.org/10.1016/j.ins.2019.12.064}},
  doi          = {{10.1016/j.ins.2019.12.064}},
  volume       = {{517}},
  year         = {{2020}},
}