The Synchronization of Fractional Order Chaotic Systems with Different Dimensions through Sliding Mode Control

Author

Bai, Jing ; Yu, Yongguang

Author_Institution

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

fYear

2011

fDate

19-22 Oct. 2011

Firstpage

239

Lastpage

243

Abstract

The synchronization of fractional order chaotic systems with different dimensions is investigated by means of sliding mode control in this paper. Active sliding mode controller is designed to realize the synchronization of fractional order chaotic systems with different dimensions. Based on stability theorems of fractional calculus, the stability of the proposed method is performed. Finally, based on the predictor-corrector method, two numerical simulations are presented to show the effectiveness of the obtained results.

Keywords

nonlinear control systems; predictor-corrector methods; stability; synchronisation; variable structure systems; different dimension; fractional calculus; fractional order chaotic system; numerical simulation; predictor-corrector method; sliding mode control; stability theorem; Chaos; Differential equations; Mathematical model; Sliding mode control; Stability analysis; Synchronization; Chaos; Different dimensions; Fractional order systems; Sliding mode control;

fLanguage

English

Publisher

ieee

Conference_Titel

Chaos-Fractals Theories and Applications (IWCFTA), 2011 Fourth International Workshop on

Conference_Location

Hangzhou

Print_ISBN

978-1-4577-1798-7

Type

conf

DOI

10.1109/IWCFTA.2011.37

Filename

6093529