Chaos control via a simple fractional-order controller

In this Letter, we propose a fractional-order controller to stabilize the unstable fixed points of an unstable open-loop system. Also, we show that this controller has strong ability to eliminate chaotic oscillations or reduce them to regular oscillations in the chaotic systems. This controller has...

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Bibliographic Details
Published in:Physics letters. A 2008-02, Vol.372 (6), p.798-807
Main Authors: Tavazoei, Mohammad Saleh, Haeri, Mohammad
Format: Article
Language:English
Subjects:
Chaos control
Fractional-order controller
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Summary:In this Letter, we propose a fractional-order controller to stabilize the unstable fixed points of an unstable open-loop system. Also, we show that this controller has strong ability to eliminate chaotic oscillations or reduce them to regular oscillations in the chaotic systems. This controller has simple structure and is designed very easily. To determine the control parameters, one needs only a little knowledge about the plant and therefore, the proposed controller is a suitable choice in the control of uncertain chaotic systems.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2007.08.040