Synchronization of Perturbed Fractional-Order Chaotic System Using Modified Adaptive Controller

Author

Zhang, Ruoxun ; Yang, Shiping ; Chen, Chao ; Hefei, Cao

Author_Institution

Coll. of Phys. Sci. & Inf. Eng., Hebei Normal Univ., Shijiazhuang, China

fYear

2011

fDate

19-22 Oct. 2011

Firstpage

244

Lastpage

248

Abstract

This paper investigates the synchronization of perturbed incommensurate fractional-order chaotic systems, and proposes a modified adaptive controller for fractional-order chaos synchronization based on Lyapunov stability theory, fractional order differential inequality and adaptive strategy. This synchronization approach is simple, global and theoretically rigorous. It enables synchronization of perturbed fractional-order chaotic systems to be achieved in a systematic way. Simulation results for fractional-order Qi chaotic system are provided to illustrate the effectiveness of the proposed scheme.

Keywords

Lyapunov methods; adaptive control; chaos; perturbation techniques; synchronisation; Lyapunov stability theory; adaptive strategy; fractional order differential inequality; fractional-order Qi chaotic system; fractional-order chaos synchronization; modified adaptive controller; perturbed fractional-order chaotic systems; perturbed incommensurate fractional-order chaotic systems; synchronization approach; Adaptive systems; Chaotic communication; Differential equations; Physics; Synchronization; Vectors; modified adaptive controller; perturbed fractional-order chaotic system; synchronization;

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.2011.79

Filename

6093530