DocumentCode
1475642
Title
Chaos Control in Duffing System Using Impulsive Parametric Perturbations
Author
Jimenez-Triana, Alexander ; Tang, Wallace Kit-Sang ; Chen, Guanrong ; Gauthier, Alain
Author_Institution
Dept. of Control Eng., Univ. Distrital Francisco Jose de Caldas, Bogota, Colombia
Volume
57
Issue
4
fYear
2010
fDate
4/1/2010 12:00:00 AM
Firstpage
305
Lastpage
309
Abstract
In this brief, a new scheme is developed for chaos control by applying periodic impulsive parametric perturbations. Based on Melnikov´s condition for the existence of chaos, it is mathematically proven that, in a neighborhood of a homoclinic orbit of the Duffing system, chaos can be suppressed. A sufficient condition is also established, serving as the design criterion for the amplitude and the width of the impulsive control signal. Finally, the control effect will clearly be demonstrated with simulation results.
Keywords
chaos; perturbation techniques; Duffing system; Melnikov condition; chaos control; impulsive parametric perturbations; Chaos; Control systems; Electronic circuits; Frequency; Friction; Mechanical systems; Shape; Signal design; Sufficient conditions; Switching circuits; Chaos control; Melnikov´s method; impulsive control; parametric perturbation;
fLanguage
English
Journal_Title
Circuits and Systems II: Express Briefs, IEEE Transactions on
Publisher
ieee
ISSN
1549-7747
Type
jour
DOI
10.1109/TCSII.2010.2043464
Filename
5452114
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