Distributed optimization for multiple linear systems with bounded inputs

Yu Zhao; Yongfang Liu; Guanghui Wen

doi:10.1109/VSS.2016.7506957

Distributed optimization for multiple linear systems with bounded inputs

Yu Zhao, Yongfang Liu, Guanghui Wen

School of Automation

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

Abstract

This paper studies the distributed optimization problem for continuous-time multi-agent systems with general linear node dynamics. The objective is to cooperatively optimize a team performance function formed by a sum of convex local objective functions. Only local interaction and gradient information of local objective functions are utilized. To achieve the cooperative goal, a new distributed optimal algorithms are designed. An edge-based nonsmooth algorithm is developed for multi-agent linear systems with stabilizable nodes and a class of convex local objective functions. Some sufficient conditions are respectively given to ensure that all agents reach a consensus value while minimizing the team performance function. Finally, numerical examples are provided to illustrate and validate the theoretical results.

Original language	English
Title of host publication	2016 14th International Workshop on Variable Structure Systems, VSS 2016
Publisher	IEEE Computer Society
Pages	424-429
Number of pages	6
ISBN (Electronic)	9781467397889
DOIs	https://doi.org/10.1109/VSS.2016.7506957
State	Published - 7 Jul 2016
Event	14th International Workshop on Variable Structure Systems, VSS 2016 - Nanjing, China Duration: 1 Jun 2016 → 4 Jun 2016

Publication series

Name	Proceedings of IEEE International Workshop on Variable Structure Systems
Volume	2016-July
ISSN (Print)	2165-4816
ISSN (Electronic)	2165-4824

Conference

Conference	14th International Workshop on Variable Structure Systems, VSS 2016
Country/Territory	China
City	Nanjing
Period	1/06/16 → 4/06/16

Access to Document

10.1109/VSS.2016.7506957

Cite this

Zhao, Y., Liu, Y., & Wen, G. (2016). Distributed optimization for multiple linear systems with bounded inputs. In 2016 14th International Workshop on Variable Structure Systems, VSS 2016 (pp. 424-429). Article 7506957 (Proceedings of IEEE International Workshop on Variable Structure Systems; Vol. 2016-July). IEEE Computer Society. https://doi.org/10.1109/VSS.2016.7506957

@inproceedings{05040d5c1a704def9374f2a33f3e3418,

title = "Distributed optimization for multiple linear systems with bounded inputs",

abstract = "This paper studies the distributed optimization problem for continuous-time multi-agent systems with general linear node dynamics. The objective is to cooperatively optimize a team performance function formed by a sum of convex local objective functions. Only local interaction and gradient information of local objective functions are utilized. To achieve the cooperative goal, a new distributed optimal algorithms are designed. An edge-based nonsmooth algorithm is developed for multi-agent linear systems with stabilizable nodes and a class of convex local objective functions. Some sufficient conditions are respectively given to ensure that all agents reach a consensus value while minimizing the team performance function. Finally, numerical examples are provided to illustrate and validate the theoretical results.",

author = "Yu Zhao and Yongfang Liu and Guanghui Wen",

note = "Publisher Copyright: {\textcopyright} 2016 IEEE.; 14th International Workshop on Variable Structure Systems, VSS 2016 ; Conference date: 01-06-2016 Through 04-06-2016",

year = "2016",

month = jul,

day = "7",

doi = "10.1109/VSS.2016.7506957",

language = "英语",

series = "Proceedings of IEEE International Workshop on Variable Structure Systems",

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Zhao, Y, Liu, Y & Wen, G 2016, Distributed optimization for multiple linear systems with bounded inputs. in 2016 14th International Workshop on Variable Structure Systems, VSS 2016., 7506957, Proceedings of IEEE International Workshop on Variable Structure Systems, vol. 2016-July, IEEE Computer Society, pp. 424-429, 14th International Workshop on Variable Structure Systems, VSS 2016, Nanjing, China, 1/06/16. https://doi.org/10.1109/VSS.2016.7506957

Distributed optimization for multiple linear systems with bounded inputs. / Zhao, Yu; Liu, Yongfang; Wen, Guanghui.
2016 14th International Workshop on Variable Structure Systems, VSS 2016. IEEE Computer Society, 2016. p. 424-429 7506957 (Proceedings of IEEE International Workshop on Variable Structure Systems; Vol. 2016-July).

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

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AB - This paper studies the distributed optimization problem for continuous-time multi-agent systems with general linear node dynamics. The objective is to cooperatively optimize a team performance function formed by a sum of convex local objective functions. Only local interaction and gradient information of local objective functions are utilized. To achieve the cooperative goal, a new distributed optimal algorithms are designed. An edge-based nonsmooth algorithm is developed for multi-agent linear systems with stabilizable nodes and a class of convex local objective functions. Some sufficient conditions are respectively given to ensure that all agents reach a consensus value while minimizing the team performance function. Finally, numerical examples are provided to illustrate and validate the theoretical results.

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Distributed optimization for multiple linear systems with bounded inputs

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