Control of the Fractional-Order Chen Chaotic System via Fractional-Order Scalar Controller and Its Circuit Implementation

Control of the Fractional-Order Chen Chaotic System via Fractional-Order Scalar Controller and Its Circuit Implementation

A fractional-order scalar controller which involves only one state variable is proposed. By this fractional-order scalar controller, the unstable equilibrium points in the fractional-order Chen chaotic system can be asymptotically stable. The present control strategy is theoretically rigorous. Some...

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Main Authors: Qiong Huang, Chunyang Dong, Qianbin Chen
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2014/698507
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spelling doaj-296cb0472366414a83612e9a451959ef2020-11-24T22:00:24ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472014-01-01201410.1155/2014/698507698507Control of the Fractional-Order Chen Chaotic System via Fractional-Order Scalar Controller and Its Circuit ImplementationQiong Huang0Chunyang Dong1Qianbin Chen2Key Lab of Mobile Communication Technology, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaKey Lab of Mobile Communication Technology, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaKey Lab of Mobile Communication Technology, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaA fractional-order scalar controller which involves only one state variable is proposed. By this fractional-order scalar controller, the unstable equilibrium points in the fractional-order Chen chaotic system can be asymptotically stable. The present control strategy is theoretically rigorous. Some circuits are designed to realize these control schemes. The outputs of circuit agree with the results of theoretical results.http://dx.doi.org/10.1155/2014/698507
collection DOAJ
language English
format Article
sources DOAJ
author Qiong Huang
Chunyang Dong
Qianbin Chen
spellingShingle Qiong Huang
Chunyang Dong
Qianbin Chen
Control of the Fractional-Order Chen Chaotic System via Fractional-Order Scalar Controller and Its Circuit Implementation
Mathematical Problems in Engineering
author_facet Qiong Huang
Chunyang Dong
Qianbin Chen
author_sort Qiong Huang
title Control of the Fractional-Order Chen Chaotic System via Fractional-Order Scalar Controller and Its Circuit Implementation
title_short Control of the Fractional-Order Chen Chaotic System via Fractional-Order Scalar Controller and Its Circuit Implementation
title_full Control of the Fractional-Order Chen Chaotic System via Fractional-Order Scalar Controller and Its Circuit Implementation
title_fullStr Control of the Fractional-Order Chen Chaotic System via Fractional-Order Scalar Controller and Its Circuit Implementation
title_full_unstemmed Control of the Fractional-Order Chen Chaotic System via Fractional-Order Scalar Controller and Its Circuit Implementation
title_sort control of the fractional-order chen chaotic system via fractional-order scalar controller and its circuit implementation
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2014-01-01
description A fractional-order scalar controller which involves only one state variable is proposed. By this fractional-order scalar controller, the unstable equilibrium points in the fractional-order Chen chaotic system can be asymptotically stable. The present control strategy is theoretically rigorous. Some circuits are designed to realize these control schemes. The outputs of circuit agree with the results of theoretical results.
url http://dx.doi.org/10.1155/2014/698507
work_keys_str_mv AT qionghuang controlofthefractionalorderchenchaoticsystemviafractionalorderscalarcontrolleranditscircuitimplementation
AT chunyangdong controlofthefractionalorderchenchaoticsystemviafractionalorderscalarcontrolleranditscircuitimplementation
AT qianbinchen controlofthefractionalorderchenchaoticsystemviafractionalorderscalarcontrolleranditscircuitimplementation
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