Synchronization of an Uncertain Fractional-Order Chaotic System via Backstepping Sliding Mode Control

Backstepping control approach combined with sliding mode control (SMC) technique is utilized to realize synchronization of uncertain fractional-order strict-feedback chaotic system. A backstepping SMC method is presented to compensate the uncertainty which occurs in the slave system. Moreover, the n...

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Main Author: Zhen Wang
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2013/732503
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spelling doaj-49941209762d495091c2c9e9cafdfbc32020-11-25T00:37:37ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/732503732503Synchronization of an Uncertain Fractional-Order Chaotic System via Backstepping Sliding Mode ControlZhen Wang0College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266590, ChinaBackstepping control approach combined with sliding mode control (SMC) technique is utilized to realize synchronization of uncertain fractional-order strict-feedback chaotic system. A backstepping SMC method is presented to compensate the uncertainty which occurs in the slave system. Moreover, the newly proposed control scheme is applied to implement synchronization of fractional-order Duffing-Holmes system. The simulation results demonstrate that the backstepping SMC method is robust against the modeling uncertainties and external disturbances.http://dx.doi.org/10.1155/2013/732503
collection DOAJ
language English
format Article
sources DOAJ
author Zhen Wang
spellingShingle Zhen Wang
Synchronization of an Uncertain Fractional-Order Chaotic System via Backstepping Sliding Mode Control
Discrete Dynamics in Nature and Society
author_facet Zhen Wang
author_sort Zhen Wang
title Synchronization of an Uncertain Fractional-Order Chaotic System via Backstepping Sliding Mode Control
title_short Synchronization of an Uncertain Fractional-Order Chaotic System via Backstepping Sliding Mode Control
title_full Synchronization of an Uncertain Fractional-Order Chaotic System via Backstepping Sliding Mode Control
title_fullStr Synchronization of an Uncertain Fractional-Order Chaotic System via Backstepping Sliding Mode Control
title_full_unstemmed Synchronization of an Uncertain Fractional-Order Chaotic System via Backstepping Sliding Mode Control
title_sort synchronization of an uncertain fractional-order chaotic system via backstepping sliding mode control
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2013-01-01
description Backstepping control approach combined with sliding mode control (SMC) technique is utilized to realize synchronization of uncertain fractional-order strict-feedback chaotic system. A backstepping SMC method is presented to compensate the uncertainty which occurs in the slave system. Moreover, the newly proposed control scheme is applied to implement synchronization of fractional-order Duffing-Holmes system. The simulation results demonstrate that the backstepping SMC method is robust against the modeling uncertainties and external disturbances.
url http://dx.doi.org/10.1155/2013/732503
work_keys_str_mv AT zhenwang synchronizationofanuncertainfractionalorderchaoticsystemviabacksteppingslidingmodecontrol
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