Synchronization of Discretely Coupled Harmonic Oscillators Using Sampled Position States only

Zhang, H; Wu, Q; Ji, J

Synchronization of Discretely Coupled Harmonic Oscillators Using Sampled Position States only

Zhang, H Wu, Q Ji, J

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Publication Type:: Journal Article
Citation:: IEEE Transactions on Automatic Control, 2018, 63 (11), pp. 3994 - 3999
Issue Date:: 2018-11-01

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Field	Value	Language
dc.contributor.author	Zhang, H	en_US
dc.contributor.author	Wu, Q	en_US
dc.contributor.author	Ji, J https://orcid.org/0000-0003-3280-5463	en_US
dc.date.issued	2018-11-01	en_US
dc.identifier.citation	IEEE Transactions on Automatic Control, 2018, 63 (11), pp. 3994 - 3999	en_US
dc.identifier.issn	0018-9286	en_US
dc.identifier.uri	http://hdl.handle.net/10453/132472
dc.description.abstract	© 1963-2012 IEEE. This technical note studies the synchronization of discretely coupled harmonic oscillators by using an impulsive control strategy. In the absence of velocity measurements, a distributed protocol for the coupled harmonic oscillators is proposed under the assumption that each oscillator can only obtain the information of its position relative to its neighbors at a series of discrete time moments. Necessary and sufficient conditions are established for the synchronization of the networked system with and without an active leader over an undirected communication topology. The desirable sampling period is analytically found to be dependent on the network topology and position gain. A simple iterative method is developed to calculate the range in which the sampling period falls. Finally, numerical simulations are performed to show the effectiveness of the proposed protocols.	en_US
dc.relation.ispartof	IEEE Transactions on Automatic Control	en_US
dc.relation.isbasedon	10.1109/TAC.2018.2814678	en_US
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject.classification	Industrial Engineering & Automation	en_US
dc.title	Synchronization of Discretely Coupled Harmonic Oscillators Using Sampled Position States only	en_US
dc.type	Journal Article
utslib.citation.volume	11	en_US
utslib.citation.volume	63	en_US
utslib.for	0906 Electrical and Electronic Engineering	en_US
utslib.for	0102 Applied Mathematics	en_US
utslib.for	0913 Mechanical Engineering	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Mechanical and Mechatronic Engineering
utslib.copyright.status	closed_access	*
pubs.issue	11	en_US
pubs.publication-status	Published	en_US
pubs.volume	63	en_US

Abstract:

© 1963-2012 IEEE. This technical note studies the synchronization of discretely coupled harmonic oscillators by using an impulsive control strategy. In the absence of velocity measurements, a distributed protocol for the coupled harmonic oscillators is proposed under the assumption that each oscillator can only obtain the information of its position relative to its neighbors at a series of discrete time moments. Necessary and sufficient conditions are established for the synchronization of the networked system with and without an active leader over an undirected communication topology. The desirable sampling period is analytically found to be dependent on the network topology and position gain. A simple iterative method is developed to calculate the range in which the sampling period falls. Finally, numerical simulations are performed to show the effectiveness of the proposed protocols.

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http://hdl.handle.net/10453/132472