Synchronization of the Fractional-Order Brushless DC Motors Chaotic System

Based on the extension of Lyapunov direct method for nonlinear fractional-order systems, chaos synchronization for the fractional-order Brushless DC motors (BLDCM) is discussed. A chaos synchronization scheme is suggested. By means of Lyapunov candidate function, the theoretical proof of chaos synch...

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Main Authors: Shiyun Shen, Ping Zhou
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Journal of Control Science and Engineering
Online Access:http://dx.doi.org/10.1155/2016/1236210
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author Shiyun Shen
Ping Zhou
author_facet Shiyun Shen
Ping Zhou
author_sort Shiyun Shen
collection DOAJ
description Based on the extension of Lyapunov direct method for nonlinear fractional-order systems, chaos synchronization for the fractional-order Brushless DC motors (BLDCM) is discussed. A chaos synchronization scheme is suggested. By means of Lyapunov candidate function, the theoretical proof of chaos synchronization is addressed. The numerical results show that the chaos synchronization scheme is valid.
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institution Kabale University
issn 1687-5249
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language English
publishDate 2016-01-01
publisher Wiley
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series Journal of Control Science and Engineering
spelling doaj-art-df1ecc5f0106483caf1897c81202ed2d2025-02-03T06:01:48ZengWileyJournal of Control Science and Engineering1687-52491687-52572016-01-01201610.1155/2016/12362101236210Synchronization of the Fractional-Order Brushless DC Motors Chaotic SystemShiyun Shen0Ping Zhou1Center of System Theory and Its Applications, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaCenter of System Theory and Its Applications, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaBased on the extension of Lyapunov direct method for nonlinear fractional-order systems, chaos synchronization for the fractional-order Brushless DC motors (BLDCM) is discussed. A chaos synchronization scheme is suggested. By means of Lyapunov candidate function, the theoretical proof of chaos synchronization is addressed. The numerical results show that the chaos synchronization scheme is valid.http://dx.doi.org/10.1155/2016/1236210
spellingShingle Shiyun Shen
Ping Zhou
Synchronization of the Fractional-Order Brushless DC Motors Chaotic System
Journal of Control Science and Engineering
title Synchronization of the Fractional-Order Brushless DC Motors Chaotic System
title_full Synchronization of the Fractional-Order Brushless DC Motors Chaotic System
title_fullStr Synchronization of the Fractional-Order Brushless DC Motors Chaotic System
title_full_unstemmed Synchronization of the Fractional-Order Brushless DC Motors Chaotic System
title_short Synchronization of the Fractional-Order Brushless DC Motors Chaotic System
title_sort synchronization of the fractional order brushless dc motors chaotic system
url http://dx.doi.org/10.1155/2016/1236210
work_keys_str_mv AT shiyunshen synchronizationofthefractionalorderbrushlessdcmotorschaoticsystem
AT pingzhou synchronizationofthefractionalorderbrushlessdcmotorschaoticsystem