Synchronization of a class of fractional-order chaotic systems via adaptive sliding mode control

Author

Weibo Jiang ; Tiedong Ma

Author_Institution

Coll. of Autom., Chongqing Univ., Chongqing, China

fYear

2013

fDate

28-30 July 2013

Firstpage

229

Lastpage

233

Abstract

This paper investigates the synchronization of a class of fractional-order chaotic systems via adaptive sliding mode control method. A fractional-order sliding surface is proposed and the corresponding controller with the adaptive laws is formulated based on the fractional version of the Lyapunov stability theory, which can guarantees asymptotical stability of fractional-order chaotic systems. Finally, some simulation results are given to demonstrate the effectiveness of the proposed adaptive sliding mode control method.

Keywords

Lyapunov methods; adaptive control; asymptotic stability; chaos; nonlinear control systems; synchronisation; variable structure systems; Lyapunov stability theory; adaptive laws; adaptive sliding mode control method; asymptotical stability; fractional-order chaotic systems; fractional-order sliding surface; synchronization; Adaptive systems; Asymptotic stability; Chaos; Lyapunov methods; Sliding mode control; Stability analysis; Synchronization; adaptive sliding mode control; chaos synchronization; fractional-order chaotic system; the fractional version of the Lyapunov stability theory;

fLanguage

English

Publisher

ieee

Conference_Titel

Vehicular Electronics and Safety (ICVES), 2013 IEEE International Conference on

Conference_Location

Dongguan

Type

conf

DOI

10.1109/ICVES.2013.6619637

Filename

6619637