Robust L2-L∞ consensus control of the second-order multi-agent systems with time-delay

Yan Cui; Yingmin Jia; Junping Du; Fashan Yu

doi:10.1109/CDC.2011.6160327

Robust L₂-L_∞ consensus control of the second-order multi-agent systems with time-delay

Yan Cui^*
, Yingmin Jia
, Junping Du
, Fashan Yu

^*Corresponding author for this work

School of Automation Science and Electrical Engineering

Beihang University
Beijing University of Posts and Telecommunications
Henan Polytechnic University

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

3 Scopus citations

Abstract

Robust L₂-L_∞ consensus control is studied for the second-order multi-agent systems with external disturbances and parameter uncertainties. By defining an appropriate controlled output, the consensus problem of the systems is transformed into a normal L₂-L _∞ control problem, and distributed state feedback protocols with time-delay are proposed. Sufficient conditions are established for the convergence to consensus of the network under fixed or switching topology. Numerical simulations are provided to demonstrate the effectiveness of our theoretical results.

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	5639-5644
Number of pages	6
ISBN (Print)	9781612848006
DOIs	https://doi.org/10.1109/CDC.2011.6160327
State	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

Access to Document

10.1109/CDC.2011.6160327

Cite this

Cui, Y., Jia, Y., Du, J., & Yu, F. (2011). Robust L₂-L_∞ consensus control of the second-order multi-agent systems with time-delay. In 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 (pp. 5639-5644). Article 6160327 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2011.6160327

Cui, Yan ; Jia, Yingmin ; Du, Junping et al. / Robust L₂-L_∞ consensus control of the second-order multi-agent systems with time-delay. 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc., 2011. pp. 5639-5644 (Proceedings of the IEEE Conference on Decision and Control).

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abstract = "Robust L2-L∞ consensus control is studied for the second-order multi-agent systems with external disturbances and parameter uncertainties. By defining an appropriate controlled output, the consensus problem of the systems is transformed into a normal L2-L ∞ control problem, and distributed state feedback protocols with time-delay are proposed. Sufficient conditions are established for the convergence to consensus of the network under fixed or switching topology. Numerical simulations are provided to demonstrate the effectiveness of our theoretical results.",

author = "Yan Cui and Yingmin Jia and Junping Du and Fashan Yu",

year = "2011",

doi = "10.1109/CDC.2011.6160327",

language = "英语",

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

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

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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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Cui, Y, Jia, Y, Du, J & Yu, F 2011, Robust L₂-L_∞ consensus control of the second-order multi-agent systems with time-delay. in 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011., 6160327, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 5639-5644, 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.2011.6160327

Robust L₂-L_∞ consensus control of the second-order multi-agent systems with time-delay. / Cui, Yan; Jia, Yingmin; Du, Junping 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. 5639-5644 6160327 (Proceedings of the IEEE Conference on Decision and Control).

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

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AB - Robust L2-L∞ consensus control is studied for the second-order multi-agent systems with external disturbances and parameter uncertainties. By defining an appropriate controlled output, the consensus problem of the systems is transformed into a normal L2-L ∞ control problem, and distributed state feedback protocols with time-delay are proposed. Sufficient conditions are established for the convergence to consensus of the network under fixed or switching topology. Numerical simulations are provided to demonstrate the effectiveness of our theoretical results.

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Cui Y, Jia Y, Du J, Yu F. Robust L₂-L_∞ consensus control of the second-order multi-agent systems with time-delay. 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. 5639-5644. 6160327. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2011.6160327