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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Bibliographic Details
Published in:Mathematical problems in engineering 2014-01, Vol.2014 (1)
Main Authors: Huang, Qiong, Dong, Chunyang, Chen, Qianbin
Format: Article
Language:English
Subjects:
Asymptotic properties
Chaos theory
Circuits
Control systems
Controllers
Dynamical systems
Economic models
Equilibrium
Experiments
Mathematical analysis
Mathematical problems
Scalars
Science
State variable
Strategy
Unstable equilibrium point
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Summary: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.
ISSN:1024-123X
1563-5147
DOI:10.1155/2014/698507