The synchronization of fractional-order chaotic systems via sliding mode control

Author

Yu, Yongguang ; Song, Yu ; Lin, Xinshu ; Bai, Jing

Author_Institution

Dept. of Math., Beijing Jiaotong Univ., Beijing, China

Volume

1

fYear

2011

fDate

25-28 July 2011

Firstpage

56

Lastpage

60

Abstract

In this paper, the sliding mode control method is proposed to realize the synchronization of two fractional-order chaotic systems whether they are identical or not. The fractional derivatives are described in the Caputo sense. The design can also be applied to the synchronization of two fractional-order hyperchaotic systems. Finally, some numerical simulations are given to illustrate the effectiveness of the proposed method. The simulations are all implemented using predictor-corrector method to solve the fractional-order differential equations.

Keywords

nonlinear control systems; nonlinear differential equations; predictor-corrector methods; synchronisation; variable structure systems; Caputo sense; fractional derivatives; fractional-order chaotic systems; fractional-order differential equations; hyperchaotic systems; numerical simulations; predictor-corrector method; sliding mode control; synchronization; Chaos; Differential equations; Fractals; Sliding mode control; Solitons; Synchronization;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Information Processing (ICICIP), 2011 2nd International Conference on

Conference_Location

Harbin

Print_ISBN

978-1-4577-0813-8

Type

conf

DOI

10.1109/ICICIP.2011.6008198

Filename

6008198