Synchronization of networked higher-order nonlinear systems with unknown dynamics

Hongwei Zhang; Frank L. Lewis

doi:10.1109/CDC.2010.5717920

Synchronization of networked higher-order nonlinear systems with unknown dynamics

Hongwei Zhang^*
, Frank L. Lewis

^*Corresponding author for this work

University of Texas at Arlington

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

18 Scopus citations

Abstract

Synchronization of networked higher-order nonlinear systems with an active leader is considered. For each node, the system has unknown dynamics and unknown external disturbances. The non-autonomous nonlinear dynamics of the leader node is unknown to all the other nodes. The communication network studied in this paper is a weighted directed graph with fixed topology, and it is assumed to be strongly connected. Using neural network technique for controllers of each node to compensate the unknown dynamics, and introducing sliding mode errors to lower the order of the system, we propose a robust adaptive control law, which is totally distributed. Under this control law, all nodes are ultimately synchronized to the leader node with residual errors. Rigorous proof and simulation results justify the effectiveness of the designed control law.

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	7129-7134
Number of pages	6
ISBN (Print)	9781424477456
DOIs	https://doi.org/10.1109/CDC.2010.5717920
State	Published - 2010
Externally published	Yes
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.2010.5717920

Cite this

Zhang, H., & Lewis, F. L. (2010). Synchronization of networked higher-order nonlinear systems with unknown dynamics. In 2010 49th IEEE Conference on Decision and Control, CDC 2010 (pp. 7129-7134). Article 5717920 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2010.5717920

@inproceedings{0e2339797d4b4a9ea1044b3e34e0b1c7,

title = "Synchronization of networked higher-order nonlinear systems with unknown dynamics",

abstract = "Synchronization of networked higher-order nonlinear systems with an active leader is considered. For each node, the system has unknown dynamics and unknown external disturbances. The non-autonomous nonlinear dynamics of the leader node is unknown to all the other nodes. The communication network studied in this paper is a weighted directed graph with fixed topology, and it is assumed to be strongly connected. Using neural network technique for controllers of each node to compensate the unknown dynamics, and introducing sliding mode errors to lower the order of the system, we propose a robust adaptive control law, which is totally distributed. Under this control law, all nodes are ultimately synchronized to the leader node with residual errors. Rigorous proof and simulation results justify the effectiveness of the designed control law.",

author = "Hongwei Zhang and Lewis, \{Frank L.\}",

year = "2010",

doi = "10.1109/CDC.2010.5717920",

language = "英语",

isbn = "9781424477456",

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

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

pages = "7129--7134",

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

address = "美国",

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

}

Zhang, H & Lewis, FL 2010, Synchronization of networked higher-order nonlinear systems with unknown dynamics. in 2010 49th IEEE Conference on Decision and Control, CDC 2010., 5717920, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 7129-7134, 49th IEEE Conference on Decision and Control, CDC 2010, Atlanta, United States, 15/12/10. https://doi.org/10.1109/CDC.2010.5717920

Synchronization of networked higher-order nonlinear systems with unknown dynamics. / Zhang, Hongwei; Lewis, Frank L.
2010 49th IEEE Conference on Decision and Control, CDC 2010. Institute of Electrical and Electronics Engineers Inc., 2010. p. 7129-7134 5717920 (Proceedings of the IEEE Conference on Decision and Control).

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

TY - GEN

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AU - Zhang, Hongwei

AU - Lewis, Frank L.

PY - 2010

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N2 - Synchronization of networked higher-order nonlinear systems with an active leader is considered. For each node, the system has unknown dynamics and unknown external disturbances. The non-autonomous nonlinear dynamics of the leader node is unknown to all the other nodes. The communication network studied in this paper is a weighted directed graph with fixed topology, and it is assumed to be strongly connected. Using neural network technique for controllers of each node to compensate the unknown dynamics, and introducing sliding mode errors to lower the order of the system, we propose a robust adaptive control law, which is totally distributed. Under this control law, all nodes are ultimately synchronized to the leader node with residual errors. Rigorous proof and simulation results justify the effectiveness of the designed control law.

AB - Synchronization of networked higher-order nonlinear systems with an active leader is considered. For each node, the system has unknown dynamics and unknown external disturbances. The non-autonomous nonlinear dynamics of the leader node is unknown to all the other nodes. The communication network studied in this paper is a weighted directed graph with fixed topology, and it is assumed to be strongly connected. Using neural network technique for controllers of each node to compensate the unknown dynamics, and introducing sliding mode errors to lower the order of the system, we propose a robust adaptive control law, which is totally distributed. Under this control law, all nodes are ultimately synchronized to the leader node with residual errors. Rigorous proof and simulation results justify the effectiveness of the designed control law.

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U2 - 10.1109/CDC.2010.5717920

DO - 10.1109/CDC.2010.5717920

M3 - 会议稿件

AN - SCOPUS:79953157803

SN - 9781424477456

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 7129

EP - 7134

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 -

Synchronization of networked higher-order nonlinear systems with unknown dynamics

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