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Journal of Control Science and Engineering
Volume 2017, Article ID 3949428, 8 pages
Research Article

Synchronization of Coupled Harmonic Oscillators Using Quantized Sampled Position Data

The School of Resources and Environment, North China University of Water Resource and Electric Power, Zhengzhou 450045, China

Correspondence should be addressed to Xinjing Wang; moc.361@888gnijnixgnaw

Received 27 February 2017; Revised 25 April 2017; Accepted 29 May 2017; Published 3 July 2017

Academic Editor: Wenwu Yu

Copyright © 2017 Xinjing Wang and Peipei He. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


For coupled harmonic oscillators (CHO), the paper studies the synchronization problem by using the quantized current sampled position data. The logarithmic quantizer is adopted here to quantize the information transmitted; thus the quantization error of the sampled position data can be illustrated as the uncertainty according to the sector bound property. On the basis of that, the synchronization problem is converted into the asymptotical stability of the subsystems and even the solving problem of characteristic equation. Some sufficient conditions ensuring the synchronization of CHO are obtained relating to coupling strength, sampling period, and quantizer parameter. The usefulness of the theoretical result is shown by an example at the end.