On global anti-synchronization of chaotic parametrically excited pendulum under linear feedback control

Author

Chen, Yun ; Wu, Xiaofeng ; Zhao, Xiaolong

Author_Institution

Coll. of Electron. Eng., Naval Univ. of Eng., Wuhan, China

fYear

2012

fDate

25-27 July 2012

Firstpage

808

Lastpage

811

Abstract

This paper addresses the global anti-synchronization of chaotic parametrically excited pendulums under linear feedback control. Based on the master-slave anti-synchronization scheme with linear feedback control, a sufficient algebraic criterion for the global anti-synchronization of two parametrically excited pendulums are proved by means of Lyapunov stability theorem and further improved by the optimization technique. Then some simpler anti-synchronization criteria are obtained. Finally, the effectiveness of the obtained criteria is verified by a numerical example.

Keywords

Lyapunov methods; feedback; linear algebra; linear systems; optimisation; pendulums; stability; Lyapunov stability theorem; algebraic criterion; chaotic parametrically excited pendulum; global antisynchronization; linear feedback control; master-slave antisynchronization scheme; optimization technique; Chaos; Couplings; Feedback control; Master-slave; Orbits; Synchronization; Vibrations; Chaos; global anti-synchronization; linear feedback control; parametrically excited pendulum;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2012 31st Chinese

Conference_Location

Hefei

ISSN

1934-1768

Print_ISBN

978-1-4673-2581-3

Type

conf

Filename

6390036