No-chattering sliding mode control in a class of fractional-order chaotic systems

doi:10.1088/1674-1056/20/12/120506

Abstract A no-chattering sliding mode control strategy for a class of fractional-order chaotic systems is proposed in this paper. First, the sliding mode control law is derived to stabilize the states of the commensurate fractional-order chaotic system and the non-commensurate fractional-order chaotic system, respectively. The designed control scheme guarantees the asymptotical stability of an uncertain fractional-order chaotic system. Simulation results are given for several fractional-order chaotic examples to illustrate the effectiveness of the proposed scheme.

Keywords: fractional-order system chaos control sliding mode uncertain chaotic systems

Received: 18 April 2011
Revised: 27 July 2011
Accepted manuscript online:

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	02.30.Uu	(Integral transforms)
	02.60.Cb	(Numerical simulation; solution of equations)
	05.45.Pq	(Numerical simulations of chaotic systems)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 51109180) and the Personal Special Fund of Northwest Agriculture and Forestry University, China (Grant No. RCZX-2009-01).

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Chen Di-Yi(陈帝伊), Liu Yu-Xiao(刘玉晓), Ma Xiao-Yi(马孝义), and Zhang Run-Fan(张润凡) No-chattering sliding mode control in a class of fractional-order chaotic systems 2011 Chin. Phys. B 20 120506

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No-chattering sliding mode control in a class of fractional-order chaotic systems

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