Sliding Mode Control of Fractional-order Hyperchaotic Systems

Author

Bai, Jing ; Yu, Yongguang

Author_Institution

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

fYear

2010

Firstpage

111

Lastpage

115

Abstract

In this paper, active sliding mode controllers are designed to realize the control and synchronization of fractional-order hyper chaotic systems. Based on stability theorems of fractional calculus, the stability analysis of the proposed method is performed. Finally, three numerical simulations are presented to show the effectiveness of the obtained results. The simulations are all implemented using predictor-corrector method to solve the fractional differential equations.

Keywords

chaos; control system synthesis; differential equations; nonlinear control systems; predictor-corrector methods; stability; synchronisation; variable structure systems; active sliding mode control; controller design; fractional calculus; fractional differential equation; fractional-order hyperchaotic system; numerical simulation; predictor-corrector method; stability analysis; stability theorem; synchronization; Chaos; Differential equations; Fractals; Numerical simulation; Sliding mode control; Synchronization; Control and synchronization; Fractional-order hyperchaos; Prector-corrector method; Sliding mode control;

fLanguage

English

Publisher

ieee

Conference_Titel

Chaos-Fractals Theories and Applications (IWCFTA), 2010 International Workshop on

Conference_Location

Kunming, Yunnan

Print_ISBN

978-1-4244-8815-5

Type

conf

DOI

10.1109/IWCFTA.2010.86

Filename

5671114