Control and projective synchronization of fractional-order chaotic systems based on sliding mode control

Author

Yan, Xiaomei ; Liu, Ding

Author_Institution

Sch. of Autom. & Inf. Eng., Xi´´an Univ. of Technol., Xi´´an

fYear

2009

fDate

25-27 May 2009

Firstpage

902

Lastpage

907

Abstract

For control and projective synchronization of fractional-order chaotic systems, this paper presents a controller based on active sliding mode theory. Based on the stability theory of linear fractional-order system, analysis of stability is implemented for the proposed method. Two numerical simulations (control of fractional-order Liu system, projective synchronization of fractional-order Chen-Liu systems) are performed, and the results of simulations show that the method of active sliding mode control is effective for control and projective synchronization of fractional-order chaotic systems.

Keywords

chaos; stability; synchronisation; variable structure systems; fractional-order chaotic system; projective synchronization; sliding mode control; stability theory; Automatic control; Automation; Chaos; Chaotic communication; Control systems; Fractional calculus; Numerical simulation; Sliding mode control; Stability analysis; Stability criteria; Fractional-order; chaos control; projective synchronization; sliding mode control;

fLanguage

English

Publisher

ieee

Conference_Titel

Industrial Electronics and Applications, 2009. ICIEA 2009. 4th IEEE Conference on

Conference_Location

Xi´an

Print_ISBN

978-1-4244-2799-4

Electronic_ISBN

978-1-4244-2800-7

Type

conf

DOI

10.1109/ICIEA.2009.5138327

Filename

5138327