Synchronization and Parameters Identification of Uncertain Fractional-Order Chaotic System Using Integer-Order System

Author

Li An-Ping ; Liu Guo-Rong ; Shen Xi-Qun

Author_Institution

Hunan Inst. of Eng., Xiangtan, China

fYear

2013

fDate

29-30 June 2013

Firstpage

1361

Lastpage

1364

Abstract

The synchronization and parameter identification problem of the uncertain fractional-order chaotic system is investigated. Based on the Lyapunov stability theory and adaptive control theory, a method for Synchronization of uncertain fractional-order chaotic system using integer-order system is proposed, a novel adaptive controller and parameter updating rule are designed. Synchronization fractional-order chaotic Chen system using integral-order chaotic Chen system is realized, by which the uncertain parameters of Chen system are identified. Simulation results also verify the effectiveness of the proposed algorithm.

Keywords

Lyapunov methods; adaptive control; chaos; control system synthesis; nonlinear control systems; parameter estimation; stability; synchronisation; uncertain systems; Lyapunov stability theory; adaptive controller design; integer-order system; integral-order chaotic Chen system; parameter identification; parameter updating rule design; synchronization fractional-order chaotic Chen system; uncertain fractional-order chaotic system; Automation; Manufacturing; Fractional-order chaotic system; Integer-order chaotic system; Parameters identification; Synchronization;

fLanguage

English

Publisher

ieee

Conference_Titel

Digital Manufacturing and Automation (ICDMA), 2013 Fourth International Conference on

Conference_Location

Qingdao

Type

conf

DOI

10.1109/ICDMA.2013.325

Filename

6598249