Modified projective synchronization of fractional-order chaotic systems based on active sliding mode control

Author

Xiaomei Yan ; Qi Du ; Ting Shang

Author_Institution

Fac. of Autom. & Inf. Eng., Xi´an Univ. of Technol., Xian, China

fYear

2013

fDate

25-27 May 2013

Firstpage

3853

Lastpage

3858

Abstract

For modified projective synchronization of fractional-order chaotic systems, this paper presents an active sliding mode control method. Based on the stability theorem of fractional-order system, stability of the error system is analyzed. Two examples of modified projective synchronization are performed respectively, which include two identical fractional-order systems (Lü-Lü) and two different fractional-order systems (Lü-Liu). Numerical simulations illustrate the effectiveness of the proposed method.

Keywords

chaos; nonlinear control systems; numerical analysis; stability; synchronisation; variable structure systems; Lü-Liu systems; Lü-Lü systems; active sliding mode control method; error system stability; fractional-order chaotic systems; fractional-order system; modified projective synchronization; numerical simulation; stability theorem; Chaotic communication; Eigenvalues and eigenfunctions; Numerical stability; Sliding mode control; Stability analysis; Synchronization; chaotic system; fractional-order; modified projective synchronization; sliding mode control;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2013 25th Chinese

Conference_Location

Guiyang

Print_ISBN

978-1-4673-5533-9

Type

conf

DOI

10.1109/CCDC.2013.6561621

Filename

6561621