Leaderless consensus control of dynamical agents under directed interaction topology

Jiahu Qin; Changbin Yu; Huijun Gao; Xiangke Wang

doi:10.1109/CDC.2011.6161492

Leaderless consensus control of dynamical agents under directed interaction topology

Jiahu Qin^*, Changbin Yu, Huijun Gao, Xiangke Wang

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › peer-review

33 Citations (Scopus)

Abstract

This paper investigates the leaderless consensus control problem for a group of agents under fixed or switching directed interaction topology, where each agent is modeled as a generic linear system rather than the single- or double-integrator dynamics. For the case with fixed topology, it is shown that consensus can be reached by assigning an appropriate feedback matrix if the interaction topology has a directed spanning tree; while for the switching case, by imposing the balanced condition on the interaction topology, sufficient conditions are provided for the agents to reach consensus under arbitrary switching signal. Furthermore, the consensus equilibria are specified for both cases.

Original language	English
Title of host publication	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1455-1460
Number of pages	6
ISBN (Print)	9781612848006
DOIs	https://doi.org/10.1109/CDC.2011.6161492
Publication status	Published - 2011
Event	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, United States Duration: 12 Dec 2011 → 15 Dec 2011

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Country/Territory	United States
City	Orlando, FL
Period	12/12/11 → 15/12/11

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10.1109/CDC.2011.6161492

Cite this

Qin, J., Yu, C., Gao, H., & Wang, X. (2011). Leaderless consensus control of dynamical agents under directed interaction topology. In 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 (pp. 1455-1460). Article 6161492 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2011.6161492

@inproceedings{a5ff1f854104435eab245e56a4fd43e2,

title = "Leaderless consensus control of dynamical agents under directed interaction topology",

abstract = "This paper investigates the leaderless consensus control problem for a group of agents under fixed or switching directed interaction topology, where each agent is modeled as a generic linear system rather than the single- or double-integrator dynamics. For the case with fixed topology, it is shown that consensus can be reached by assigning an appropriate feedback matrix if the interaction topology has a directed spanning tree; while for the switching case, by imposing the balanced condition on the interaction topology, sufficient conditions are provided for the agents to reach consensus under arbitrary switching signal. Furthermore, the consensus equilibria are specified for both cases.",

author = "Jiahu Qin and Changbin Yu and Huijun Gao and Xiangke Wang",

year = "2011",

doi = "10.1109/CDC.2011.6161492",

language = "English",

isbn = "9781612848006",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "1455--1460",

booktitle = "2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011",

address = "United States",

note = "2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 ; Conference date: 12-12-2011 Through 15-12-2011",

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Qin, J, Yu, C, Gao, H & Wang, X 2011, Leaderless consensus control of dynamical agents under directed interaction topology. in 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011., 6161492, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 1455-1460, 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011, Orlando, FL, United States, 12/12/11. https://doi.org/10.1109/CDC.2011.6161492

Leaderless consensus control of dynamical agents under directed interaction topology. / Qin, Jiahu; Yu, Changbin; Gao, Huijun et al.
2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc., 2011. p. 1455-1460 6161492 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › peer-review

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T1 - Leaderless consensus control of dynamical agents under directed interaction topology

AU - Qin, Jiahu

AU - Yu, Changbin

AU - Gao, Huijun

AU - Wang, Xiangke

PY - 2011

Y1 - 2011

N2 - This paper investigates the leaderless consensus control problem for a group of agents under fixed or switching directed interaction topology, where each agent is modeled as a generic linear system rather than the single- or double-integrator dynamics. For the case with fixed topology, it is shown that consensus can be reached by assigning an appropriate feedback matrix if the interaction topology has a directed spanning tree; while for the switching case, by imposing the balanced condition on the interaction topology, sufficient conditions are provided for the agents to reach consensus under arbitrary switching signal. Furthermore, the consensus equilibria are specified for both cases.

AB - This paper investigates the leaderless consensus control problem for a group of agents under fixed or switching directed interaction topology, where each agent is modeled as a generic linear system rather than the single- or double-integrator dynamics. For the case with fixed topology, it is shown that consensus can be reached by assigning an appropriate feedback matrix if the interaction topology has a directed spanning tree; while for the switching case, by imposing the balanced condition on the interaction topology, sufficient conditions are provided for the agents to reach consensus under arbitrary switching signal. Furthermore, the consensus equilibria are specified for both cases.

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U2 - 10.1109/CDC.2011.6161492

DO - 10.1109/CDC.2011.6161492

M3 - Conference Paper

SN - 9781612848006

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 1455

EP - 1460

BT - 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011

Y2 - 12 December 2011 through 15 December 2011

ER -

Qin J, Yu C, Gao H, Wang X. Leaderless consensus control of dynamical agents under directed interaction topology. In 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc. 2011. p. 1455-1460. 6161492. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2011.6161492

Leaderless consensus control of dynamical agents under directed interaction topology

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