A new fractional-order chaotic system and its synchronization control

Author

Shan, Liang ; Liu, Zhong ; Li, Jun ; Wang, Zhiquan

Author_Institution

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

fYear

2009

fDate

15-18 Dec. 2009

Firstpage

5918

Lastpage

5922

Abstract

A new fractional-order chaotic system, fractional-order Lorenz-Stenflo (LS) system, is found in this paper. Chaos can exist in the fractional-order LS system with order as low as 3.6. The chaotic dynamics of this system is investigated. Then based on Laplace transformation theory, the controller of complete synchronization is designed for this system. Moreover using stability theory of linear fractional-order systems, generalized projected synchronization controller is presented. Numerical simulations are used to verify the effectiveness of the two proposed synchronization methods.

Keywords

Laplace transforms; control system synthesis; nonlinear control systems; stability; synchronisation; Laplace transformation; chaotic dynamics; controller design; fractional-order Lorenz-Stenflo system; fractional-order chaotic system; stability; synchronization control; Automation; Calculus; Chaos; Control systems; Displays; Elasticity; Numerical simulation; Physics; Stability; Viscosity;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on

Conference_Location

Shanghai

ISSN

0191-2216

Print_ISBN

978-1-4244-3871-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2009.5399795

Filename

5399795