Melnikov´s analysis of time-delayed feedback control in chaotic dynamics

Author

Cai, Chaohong ; Xu, Zhenyuan ; Xu, Wenbo

Author_Institution

Sch. of Inf. & Control Eng., Southern Yangtze Univ., Wuxi, China

Volume

49

Issue

12

fYear

2002

fDate

12/1/2002 12:00:00 AM

Firstpage

1724

Lastpage

1728

Abstract

The problem of suppressing chaos in the time-delayed feedback control (TDFC) system is considered. The validity of Melnikov´s technique in the planar Hamiltonian system perturbed by weak periodic terms and time-delay terms is discussed. Melnikov´s technique is used to analyze a TDFC chaotic system that is nonautonomous. It is revealed with analytical results that the delayed time can be independent of the period of the inherent unstable orbit in the chaotic attractor. Numerical simulations demonstrate the effectiveness of Melnikov´s analysis.

Keywords

chaos; control system analysis; delay systems; feedback; oscillators; Duffing oscillator; Melnikov analysis; analytical results; chaos suppression; chaotic attractor; chaotic dynamics; inherent unstable orbit period; nonautonomous chaotic system; numerical simulations; perturbed planar Hamiltonian system; time-delayed feedback control; weak periodic terms; Chaos; Control engineering; Control systems; Delay effects; Feedback control; Numerical simulation; Oscillators; Stability; Transmission line matrix methods; Two dimensional displays;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/TCSI.2002.805738

Filename

1159103