Adaptive Synchronization of the Incommensurate Fractional-order Chaotic Systems with Fully Unknown Parameters

Author

Zhang, Ruoxun ; Tian, Gang ; Li, Lanzhong ; Gong, Jingbo

Author_Institution

Elementary Coll. of Educ., Xingtai Univ., Xingtai, China

fYear

2012

fDate

18-21 Oct. 2012

Firstpage

258

Lastpage

262

Abstract

This letter presents a modified adaptive control scheme to synchronize the incommensurate fractional-order chaotic systems with fully unknown parameters. Based on Lyapunov stability theory and fractional order differential inequality, a simple adaptive controller is developed using modified adaptive control scheme. The proposed scheme is global and theoretically rigorous. Simulation results for the fractional-order hyperchaotic Lorenz system is provided to illustrate the effectiveness of the proposed scheme.

Keywords

Lyapunov methods; adaptive control; chaos; controllers; differential equations; synchronisation; Lyapunov stability theory; adaptive controller; adaptive synchronization; fractional order differential inequality; fractional-order hyperchaotic Lorenz system; fully unknown parameters; incommensurate fractional-order chaotic systems; modified adaptive control scheme; Adaptive systems; Chaotic communication; Fractional calculus; Physics; Synchronization; Vectors; chaos synchronization; fractional-order chaotic system; modified adaptive control; unknown parameter;

fLanguage

English

Publisher

ieee

Conference_Titel

Chaos-Fractals Theories and Applications (IWCFTA), 2012 Fifth International Workshop on

Conference_Location

Dalian

Print_ISBN

978-1-4673-2825-8

Type

conf

DOI

10.1109/IWCFTA.2012.82

Filename

6383198