Optimal consensus of multi-agent systems with general unstable discrete-time linear dynamics

Huiping Li; Weisheng Yan; Yang Shi

doi:10.1109/ACC.2016.7525349

Optimal consensus of multi-agent systems with general unstable discrete-time linear dynamics

School of Marine Science and Technology

University of Victoria BC

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

1 Scopus citations

Abstract

This paper is concerned with the optimal consensus problem of multi-agent systems (MASs) with general unstable linear dynamics. The main tool for the design and analysis is the inverse optimality and set stability theory. Firstly, the optimal conditions for ensuring set stability are developed for discrete-time linear systems in terms of the inverse optimality principle. Then for the MASs with unstable dynamics, the approach to designing the optimal consensus protocol is proposed, and the detailed design conditions are developed. Based on the set stability theory, the consensus properties are proved. Finally, a simulation study is provided to verify the effectiveness of the proposed method.

Original language	English
Title of host publication	2016 American Control Conference, ACC 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2840-2845
Number of pages	6
ISBN (Electronic)	9781467386821
DOIs	https://doi.org/10.1109/ACC.2016.7525349
State	Published - 28 Jul 2016
Event	2016 American Control Conference, ACC 2016 - Boston, United States Duration: 6 Jul 2016 → 8 Jul 2016

Publication series

Name	Proceedings of the American Control Conference
Volume	2016-July
ISSN (Print)	0743-1619

Conference

Conference	2016 American Control Conference, ACC 2016
Country/Territory	United States
City	Boston
Period	6/07/16 → 8/07/16

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10.1109/ACC.2016.7525349

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Li, H., Yan, W., & Shi, Y. (2016). Optimal consensus of multi-agent systems with general unstable discrete-time linear dynamics. In 2016 American Control Conference, ACC 2016 (pp. 2840-2845). Article 7525349 (Proceedings of the American Control Conference; Vol. 2016-July). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ACC.2016.7525349

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title = "Optimal consensus of multi-agent systems with general unstable discrete-time linear dynamics",

abstract = "This paper is concerned with the optimal consensus problem of multi-agent systems (MASs) with general unstable linear dynamics. The main tool for the design and analysis is the inverse optimality and set stability theory. Firstly, the optimal conditions for ensuring set stability are developed for discrete-time linear systems in terms of the inverse optimality principle. Then for the MASs with unstable dynamics, the approach to designing the optimal consensus protocol is proposed, and the detailed design conditions are developed. Based on the set stability theory, the consensus properties are proved. Finally, a simulation study is provided to verify the effectiveness of the proposed method.",

author = "Huiping Li and Weisheng Yan and Yang Shi",

note = "Publisher Copyright: {\textcopyright} 2016 American Automatic Control Council (AACC).; 2016 American Control Conference, ACC 2016 ; Conference date: 06-07-2016 Through 08-07-2016",

year = "2016",

month = jul,

day = "28",

doi = "10.1109/ACC.2016.7525349",

language = "英语",

series = "Proceedings of the American Control Conference",

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Li, H , Yan, W & Shi, Y 2016, Optimal consensus of multi-agent systems with general unstable discrete-time linear dynamics. in 2016 American Control Conference, ACC 2016., 7525349, Proceedings of the American Control Conference, vol. 2016-July, Institute of Electrical and Electronics Engineers Inc., pp. 2840-2845, 2016 American Control Conference, ACC 2016, Boston, United States, 6/07/16. https://doi.org/10.1109/ACC.2016.7525349

Optimal consensus of multi-agent systems with general unstable discrete-time linear dynamics. / Li, Huiping ; Yan, Weisheng; Shi, Yang.
2016 American Control Conference, ACC 2016. Institute of Electrical and Electronics Engineers Inc., 2016. p. 2840-2845 7525349 (Proceedings of the American Control Conference; Vol. 2016-July).

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

TY - GEN

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AU - Shi, Yang

PY - 2016/7/28

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N2 - This paper is concerned with the optimal consensus problem of multi-agent systems (MASs) with general unstable linear dynamics. The main tool for the design and analysis is the inverse optimality and set stability theory. Firstly, the optimal conditions for ensuring set stability are developed for discrete-time linear systems in terms of the inverse optimality principle. Then for the MASs with unstable dynamics, the approach to designing the optimal consensus protocol is proposed, and the detailed design conditions are developed. Based on the set stability theory, the consensus properties are proved. Finally, a simulation study is provided to verify the effectiveness of the proposed method.

AB - This paper is concerned with the optimal consensus problem of multi-agent systems (MASs) with general unstable linear dynamics. The main tool for the design and analysis is the inverse optimality and set stability theory. Firstly, the optimal conditions for ensuring set stability are developed for discrete-time linear systems in terms of the inverse optimality principle. Then for the MASs with unstable dynamics, the approach to designing the optimal consensus protocol is proposed, and the detailed design conditions are developed. Based on the set stability theory, the consensus properties are proved. Finally, a simulation study is provided to verify the effectiveness of the proposed method.

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PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2016 American Control Conference, ACC 2016

Y2 - 6 July 2016 through 8 July 2016

ER -

Optimal consensus of multi-agent systems with general unstable discrete-time linear dynamics

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