Synchronization of Coupled Harmonic Oscillators Using Quantized Sampled Position Data

Synchronization of Coupled Harmonic Oscillators Using Quantized Sampled Position Data

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 a...

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Main Authors: Xinjing Wang, Peipei He
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Journal of Control Science and Engineering
Online Access:http://dx.doi.org/10.1155/2017/3949428
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spelling doaj-6c65d286f3664191ab74b4255ef747ed2020-11-24T21:40:12ZengHindawi LimitedJournal of Control Science and Engineering1687-52491687-52572017-01-01201710.1155/2017/39494283949428Synchronization of Coupled Harmonic Oscillators Using Quantized Sampled Position DataXinjing Wang0Peipei He1The School of Resources and Environment, North China University of Water Resource and Electric Power, Zhengzhou 450045, ChinaThe School of Resources and Environment, North China University of Water Resource and Electric Power, Zhengzhou 450045, ChinaFor 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.http://dx.doi.org/10.1155/2017/3949428
collection DOAJ
language English
format Article
sources DOAJ
author Xinjing Wang
Peipei He
spellingShingle Xinjing Wang
Peipei He
Synchronization of Coupled Harmonic Oscillators Using Quantized Sampled Position Data
Journal of Control Science and Engineering
author_facet Xinjing Wang
Peipei He
author_sort Xinjing Wang
title Synchronization of Coupled Harmonic Oscillators Using Quantized Sampled Position Data
title_short Synchronization of Coupled Harmonic Oscillators Using Quantized Sampled Position Data
title_full Synchronization of Coupled Harmonic Oscillators Using Quantized Sampled Position Data
title_fullStr Synchronization of Coupled Harmonic Oscillators Using Quantized Sampled Position Data
title_full_unstemmed Synchronization of Coupled Harmonic Oscillators Using Quantized Sampled Position Data
title_sort synchronization of coupled harmonic oscillators using quantized sampled position data
publisher Hindawi Limited
series Journal of Control Science and Engineering
issn 1687-5249
1687-5257
publishDate 2017-01-01
description 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.
url http://dx.doi.org/10.1155/2017/3949428
work_keys_str_mv AT xinjingwang synchronizationofcoupledharmonicoscillatorsusingquantizedsampledpositiondata
AT peipeihe synchronizationofcoupledharmonicoscillatorsusingquantizedsampledpositiondata
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