TY - JOUR
T1 - Synchronization of networked harmonic oscillators via quantized sampled velocity feedback
AU - Wang, Jingyi
AU - Feng, Jianwen
AU - Lou, Yijun
AU - Chen, Guanrong
N1 - Funding Information:
Manuscript received October 21, 2019; revised April 30, 2020; accepted July 27, 2020. Date of publication August 6, 2020; date of current version June 29, 2021. This work was supported in part by the National Natural Science Foundation of China under Grant 61873171, Grant 61872429, and Grant 61603260 and in part by the Natural Science Foundation of Guangdong Province under Grant 2019A1515012192. Recommended by Associate Editor M. K. Camlibel. (Corresponding author: Jingyi Wang.) Jingyi Wang and Jianwen Feng are with the College of Mathematics and Statistics, Shenzhen University, Shenzhen 518060, China (e-mail: wangjingyi@szu.edu.cn; fengjw@szu.edu.cn).
Publisher Copyright:
© 1963-2012 IEEE.
PY - 2021/7
Y1 - 2021/7
N2 - In this article, we propose a practicable quantized sampled velocity data coupling protocol for synchronization of a set of harmonic oscillators. The coupling protocol is designed in a quantized way via interconnecting the velocities encoded by a uniform quantizer with a zooming parameter in either a fixed or an adjustable form over a directed communication network. By constructing a suitable norm to measure the convergence of the synchronization errors, we establish sufficient conditions for the networked harmonic oscillators to converge to a bounded neighborhood of the synchronized orbits with a fixed zooming parameter. The oscillators are ensured to achieve synchronization by designing the quantized coupling protocol with an adjustable zooming parameter. Finally, two numerical examples are presented to illustrate the effectiveness of the proposed coupling protocols.
AB - In this article, we propose a practicable quantized sampled velocity data coupling protocol for synchronization of a set of harmonic oscillators. The coupling protocol is designed in a quantized way via interconnecting the velocities encoded by a uniform quantizer with a zooming parameter in either a fixed or an adjustable form over a directed communication network. By constructing a suitable norm to measure the convergence of the synchronization errors, we establish sufficient conditions for the networked harmonic oscillators to converge to a bounded neighborhood of the synchronized orbits with a fixed zooming parameter. The oscillators are ensured to achieve synchronization by designing the quantized coupling protocol with an adjustable zooming parameter. Finally, two numerical examples are presented to illustrate the effectiveness of the proposed coupling protocols.
KW - Networked harmonic oscillators
KW - Quantized control
KW - Sampled velocity data
KW - Synchronization
UR - http://www.scopus.com/inward/record.url?scp=85089368258&partnerID=8YFLogxK
U2 - 10.1109/TAC.2020.3014905
DO - 10.1109/TAC.2020.3014905
M3 - Journal article
AN - SCOPUS:85089368258
SN - 0018-9286
VL - 66
SP - 3267
EP - 3273
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
IS - 7
M1 - 9161420
ER -