Comparison between two different sliding mode controllers for a fractional-order unified chaotic system

doi:10.1088/1674-1056/20/10/100505

Abstract Two different sliding mode controllers for a fractional order unified chaotic system are presented. The controller for an integer-order unified chaotic system is substituted directly into the fractional-order counterpart system, and the fractional-order system can be made asymptotically stable by this controller. By proving the existence of a sliding manifold containing fractional integral, the controller for a fractional-order system is obtained, which can stabilize it. A comparison between these different methods shows that the performance of a sliding mode controller with a fractional integral is more robust than the other for controlling a fractional order unified chaotic system.

Keywords: unified chaotic system fractional-order system sliding mode control

Received: 02 April 2011
Revised: 09 June 2011
Accepted manuscript online:

PACS:	05.45.Gg	(Control of chaos, applications of chaos)
	87.19.lr	(Control theory and feedback)
	05.45.-a	(Nonlinear dynamics and chaos)
	74.40.De	(Noise and chaos)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 60702023) and the Natural Science Foundation of Zhejiang Province, China (Grant No. R1110443).

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Qi Dong-Lian(齐冬莲), Wang Qiao(王乔), and Yang Jie(杨捷) Comparison between two different sliding mode controllers for a fractional-order unified chaotic system 2011 Chin. Phys. B 20 100505

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