Control of fractional chaotic and hyperchaotic systems based on a fractional order controller

doi:10.1088/1674-1056/23/8/080501

Abstract We present a new fractional-order controller based on the Lyapunov stability theory and propose a control method which can control fractional chaotic and hyperchaotic systems whether systems are commensurate or incommensurate. The proposed control method is universal, simple, and theoretically rigorous. Numerical simulations are given for several fractional chaotic and hyperchaotic systems to verify the effectiveness and the universality of the proposed control method.

Keywords: fractional-order chaotic system chaos control fractional-order controller hyperchaos

Received: 21 October 2013
Revised: 23 January 2014
Accepted manuscript online:

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	05.45.-a	(Nonlinear dynamics and chaos)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11171238), the Science Found of Sichuan University of Science and Engineering (Grant Nos. 2012PY17 and 2014PY06), the Fund from Artificial Intelligence Key Laboratory of Sichuan Province (Grant No. 2014RYJ05), and the Opening Project of Sichuan Province University Key Laborstory of Bridge Non-destruction Detecting and Engineering Computing (Grant No. 2013QYJ01).

Corresponding Authors: Luo Mao-Kang
E-mail: makaluo@scu.edu.cn

Cite this article:

Li Tian-Zeng (李天增), Wang Yu (王瑜), Luo Mao-Kang (罗懋康) Control of fractional chaotic and hyperchaotic systems based on a fractional order controller 2014 Chin. Phys. B 23 080501

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Control of fractional chaotic and hyperchaotic systems based on a fractional order controller

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