Topological constraints on consensus via delayed output feedback over directed graph

Qi Tian; Qiu Li; Chen Jie

doi:10.1109/ChiCC.2014.6896827

Topological constraints on consensus via delayed output feedback over directed graph

Qi Tian^*
, Qiu Li
, Chen Jie

^*Corresponding author for this work

Department of Electronic and Computer Engineering

Research output: Chapter in Book/Conference Proceeding/Report › Conference Paper published in a book › peer-review

2 Citations (Scopus)

Abstract

This paper is devoted to the consensusability of discrete-time linear time invariant (LTI) multi-agent systems over a fixed directed network communication graph. A distributed dynamic output feedback control protocol is employed and the each agent's input is assumed to be subjected to a constant unknown time delay. Drawing upon the phase margin and gain-phase margin optimization concepts as well as analytic interpolation techniques from robust control, we develop an explicit consensusability conditions of discrete-time LTI agents which provides a limit on network topology imposed by the agent's unstable poles, non-minimum phase zeros, relative degree and communication time delay. This result also suggests that delayed communication between the LTI agents will generally hinder consensus.

Original language	English
Title of host publication	Proceedings of the 33rd Chinese Control Conference, CCC 2014
Editors	Shengyuan Xu, Qianchuan Zhao
Publisher	IEEE Computer Society
Pages	1360-1365
Number of pages	6
ISBN (Electronic)	9789881563842
DOIs	https://doi.org/10.1109/ChiCC.2014.6896827
Publication status	Published - 11 Sept 2014
Event	Proceedings of the 33rd Chinese Control Conference, CCC 2014 - Nanjing, China Duration: 28 Jul 2014 → 30 Jul 2014

Publication series

Name	Proceedings of the 33rd Chinese Control Conference, CCC 2014
ISSN (Print)	1934-1768
ISSN (Electronic)	2161-2927

Conference

Conference	Proceedings of the 33rd Chinese Control Conference, CCC 2014
Country/Territory	China
City	Nanjing
Period	28/07/14 → 30/07/14

Bibliographical note

Publisher Copyright:
© 2014 TCCT, CAA.

Keywords

Consensusability
Constant time-delay
Interpolation
Multi-agent system

Access to Document

10.1109/ChiCC.2014.6896827

Cite this

Tian, Q., Li, Q., & Jie, C. (2014). Topological constraints on consensus via delayed output feedback over directed graph. In S. Xu, & Q. Zhao (Eds.), Proceedings of the 33rd Chinese Control Conference, CCC 2014 (pp. 1360-1365). Article 6896827 (Proceedings of the 33rd Chinese Control Conference, CCC 2014). IEEE Computer Society. https://doi.org/10.1109/ChiCC.2014.6896827

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title = "Topological constraints on consensus via delayed output feedback over directed graph",

abstract = "This paper is devoted to the consensusability of discrete-time linear time invariant (LTI) multi-agent systems over a fixed directed network communication graph. A distributed dynamic output feedback control protocol is employed and the each agent's input is assumed to be subjected to a constant unknown time delay. Drawing upon the phase margin and gain-phase margin optimization concepts as well as analytic interpolation techniques from robust control, we develop an explicit consensusability conditions of discrete-time LTI agents which provides a limit on network topology imposed by the agent's unstable poles, non-minimum phase zeros, relative degree and communication time delay. This result also suggests that delayed communication between the LTI agents will generally hinder consensus.",

keywords = "Consensusability, Constant time-delay, Interpolation, Multi-agent system",

author = "Qi Tian and Qiu Li and Chen Jie",

note = "Publisher Copyright: {\textcopyright} 2014 TCCT, CAA.; Proceedings of the 33rd Chinese Control Conference, CCC 2014 ; Conference date: 28-07-2014 Through 30-07-2014",

year = "2014",

month = sep,

day = "11",

doi = "10.1109/ChiCC.2014.6896827",

language = "English",

series = "Proceedings of the 33rd Chinese Control Conference, CCC 2014",

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booktitle = "Proceedings of the 33rd Chinese Control Conference, CCC 2014",

}

Tian, Q, Li, Q & Jie, C 2014, Topological constraints on consensus via delayed output feedback over directed graph. in S Xu & Q Zhao (eds), Proceedings of the 33rd Chinese Control Conference, CCC 2014., 6896827, Proceedings of the 33rd Chinese Control Conference, CCC 2014, IEEE Computer Society, pp. 1360-1365, Proceedings of the 33rd Chinese Control Conference, CCC 2014, Nanjing, China, 28/07/14. https://doi.org/10.1109/ChiCC.2014.6896827

Topological constraints on consensus via delayed output feedback over directed graph. / Tian, Qi; Li, Qiu; Jie, Chen.
Proceedings of the 33rd Chinese Control Conference, CCC 2014. ed. / Shengyuan Xu; Qianchuan Zhao. IEEE Computer Society, 2014. p. 1360-1365 6896827 (Proceedings of the 33rd Chinese Control Conference, CCC 2014).

Research output: Chapter in Book/Conference Proceeding/Report › Conference Paper published in a book › peer-review

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N2 - This paper is devoted to the consensusability of discrete-time linear time invariant (LTI) multi-agent systems over a fixed directed network communication graph. A distributed dynamic output feedback control protocol is employed and the each agent's input is assumed to be subjected to a constant unknown time delay. Drawing upon the phase margin and gain-phase margin optimization concepts as well as analytic interpolation techniques from robust control, we develop an explicit consensusability conditions of discrete-time LTI agents which provides a limit on network topology imposed by the agent's unstable poles, non-minimum phase zeros, relative degree and communication time delay. This result also suggests that delayed communication between the LTI agents will generally hinder consensus.

AB - This paper is devoted to the consensusability of discrete-time linear time invariant (LTI) multi-agent systems over a fixed directed network communication graph. A distributed dynamic output feedback control protocol is employed and the each agent's input is assumed to be subjected to a constant unknown time delay. Drawing upon the phase margin and gain-phase margin optimization concepts as well as analytic interpolation techniques from robust control, we develop an explicit consensusability conditions of discrete-time LTI agents which provides a limit on network topology imposed by the agent's unstable poles, non-minimum phase zeros, relative degree and communication time delay. This result also suggests that delayed communication between the LTI agents will generally hinder consensus.

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KW - Constant time-delay

KW - Interpolation

KW - Multi-agent system

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PB - IEEE Computer Society

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Y2 - 28 July 2014 through 30 July 2014

ER -

Topological constraints on consensus via delayed output feedback over directed graph

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Keywords

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