Static output feedback control of a class of complex networks

Pingli Lu; Ying Yang

doi:10.1109/CDC.2010.5717049

Static output feedback control of a class of complex networks

Pingli Lu^*, Ying Yang

^*Corresponding author for this work

School of Automation

Peking University

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

Abstract

In this paper, decentralized static output feedback is considered for a class of dynamic networks with each node being a nonlinear system with infinite equilibria. Based on the Kalman-Yakubovich-Popov (KYP) lemma, linear matrix inequality (LMI) conditions are established to guarantee the stability of such dynamic networks. Furthermore, an interesting conclusion is reached: the stability problem for the whole Nn-dimensional dynamic networks can be converted into the simple n-dimensional space in terms of only two LMIs. A concrete application of output stabilization of coupled phase-locked loop networks is used to verify the effectiveness of the proposed methods.

Original language	English
Title of host publication	2010 49th IEEE Conference on Decision and Control, CDC 2010
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	213-218
Number of pages	6
ISBN (Print)	9781424477456
DOIs	https://doi.org/10.1109/CDC.2010.5717049
Publication status	Published - 2010
Event	49th IEEE Conference on Decision and Control, CDC 2010 - Atlanta, United States Duration: 15 Dec 2010 → 17 Dec 2010

Publication series

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

Conference

Conference	49th IEEE Conference on Decision and Control, CDC 2010
Country/Territory	United States
City	Atlanta
Period	15/12/10 → 17/12/10

Access to Document

10.1109/CDC.2010.5717049

Cite this

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title = "Static output feedback control of a class of complex networks",

abstract = "In this paper, decentralized static output feedback is considered for a class of dynamic networks with each node being a nonlinear system with infinite equilibria. Based on the Kalman-Yakubovich-Popov (KYP) lemma, linear matrix inequality (LMI) conditions are established to guarantee the stability of such dynamic networks. Furthermore, an interesting conclusion is reached: the stability problem for the whole Nn-dimensional dynamic networks can be converted into the simple n-dimensional space in terms of only two LMIs. A concrete application of output stabilization of coupled phase-locked loop networks is used to verify the effectiveness of the proposed methods.",

author = "Pingli Lu and Ying Yang",

year = "2010",

doi = "10.1109/CDC.2010.5717049",

language = "English",

isbn = "9781424477456",

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

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

pages = "213--218",

booktitle = "2010 49th IEEE Conference on Decision and Control, CDC 2010",

address = "United States",

note = "49th IEEE Conference on Decision and Control, CDC 2010 ; Conference date: 15-12-2010 Through 17-12-2010",

}

Lu, P & Yang, Y 2010, Static output feedback control of a class of complex networks. in 2010 49th IEEE Conference on Decision and Control, CDC 2010., 5717049, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 213-218, 49th IEEE Conference on Decision and Control, CDC 2010, Atlanta, United States, 15/12/10. https://doi.org/10.1109/CDC.2010.5717049

Static output feedback control of a class of complex networks. / Lu, Pingli; Yang, Ying.
2010 49th IEEE Conference on Decision and Control, CDC 2010. Institute of Electrical and Electronics Engineers Inc., 2010. p. 213-218 5717049 (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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AU - Lu, Pingli

AU - Yang, Ying

PY - 2010

Y1 - 2010

N2 - In this paper, decentralized static output feedback is considered for a class of dynamic networks with each node being a nonlinear system with infinite equilibria. Based on the Kalman-Yakubovich-Popov (KYP) lemma, linear matrix inequality (LMI) conditions are established to guarantee the stability of such dynamic networks. Furthermore, an interesting conclusion is reached: the stability problem for the whole Nn-dimensional dynamic networks can be converted into the simple n-dimensional space in terms of only two LMIs. A concrete application of output stabilization of coupled phase-locked loop networks is used to verify the effectiveness of the proposed methods.

AB - In this paper, decentralized static output feedback is considered for a class of dynamic networks with each node being a nonlinear system with infinite equilibria. Based on the Kalman-Yakubovich-Popov (KYP) lemma, linear matrix inequality (LMI) conditions are established to guarantee the stability of such dynamic networks. Furthermore, an interesting conclusion is reached: the stability problem for the whole Nn-dimensional dynamic networks can be converted into the simple n-dimensional space in terms of only two LMIs. A concrete application of output stabilization of coupled phase-locked loop networks is used to verify the effectiveness of the proposed methods.

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DO - 10.1109/CDC.2010.5717049

M3 - Conference contribution

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SN - 9781424477456

T3 - Proceedings of the IEEE Conference on Decision and Control

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BT - 2010 49th IEEE Conference on Decision and Control, CDC 2010

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 49th IEEE Conference on Decision and Control, CDC 2010

Y2 - 15 December 2010 through 17 December 2010

ER -

Static output feedback control of a class of complex networks

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