A new piecewise fractional-order chaotic system and its successive mismatch synchronization

Author

Shan Liang ; Liu Zhong ; Min Fuhong ; Li Jun ; Wang Zhiquan

Author_Institution

Sch. of Autom., Nanjing Univ. of Sci. & Technol., Nanjing, China

fYear

2010

fDate

29-31 July 2010

Firstpage

682

Lastpage

687

Abstract

In this paper a new piecewise fractional-order chaotic system is found, which is named as PFLS (piecewise fractional-order Lorenz-Stenflo) system. Chaos can exist in PFLS system with order as low as 3.44. And then the new successive mismatch synchronization method is proposed for the PFLS chaotic system. The method can direct the state vectors between the drive system and response system to synchronize in disorder. The idea is firstly applied to fractional-order chaotic systems. Based on Laplace transformation theory, the controller of mismatch synchronization is designed for 3.6-order PFLS system. Simulation results are presented to demonstrate the effectiveness of the proposed method.

Keywords

Laplace transforms; chaos; nonlinear control systems; synchronisation; Laplace transformation theory; chaos; drive system; piecewise fractional-order Lorenz-Stenflo system; piecewise fractional-order chaotic system; response system; state vectors; successive mismatch synchronization; Chaos; Educational institutions; Fractional calculus; Linear approximation; Shape; Synchronization; Fractional-order chaotic system; chaotic synchronization; successive mismatch synchronization;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2010 29th Chinese

Conference_Location

Beijing

Print_ISBN

978-1-4244-6263-6

Type

conf

Filename

5572979