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Reseach Article

Chaos Suppression in forced Van Der Pol Oscillator

by Mchiri Mohamed, Trabelsi Karim, Safya Belghith
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 68 - Number 23
Year of Publication: 2013
Authors: Mchiri Mohamed, Trabelsi Karim, Safya Belghith
10.5120/11719-7388

Mchiri Mohamed, Trabelsi Karim, Safya Belghith . Chaos Suppression in forced Van Der Pol Oscillator. International Journal of Computer Applications. 68, 23 ( April 2013), 18-23. DOI=10.5120/11719-7388

@article{ 10.5120/11719-7388,
author = { Mchiri Mohamed, Trabelsi Karim, Safya Belghith },
title = { Chaos Suppression in forced Van Der Pol Oscillator },
journal = { International Journal of Computer Applications },
issue_date = { April 2013 },
volume = { 68 },
number = { 23 },
month = { April },
year = { 2013 },
issn = { 0975-8887 },
pages = { 18-23 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume68/number23/11719-7388/ },
doi = { 10.5120/11719-7388 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:28:41.423120+05:30
%A Mchiri Mohamed
%A Trabelsi Karim
%A Safya Belghith
%T Chaos Suppression in forced Van Der Pol Oscillator
%J International Journal of Computer Applications
%@ 0975-8887
%V 68
%N 23
%P 18-23
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper presents a new method of controlling chaos in the nonlinear Van Der Pol oscillator with uncertainties. The proposed method is based on a nonlinear observer to estimate unmeasured velocity signal coupled to a control law. The observer ensures, firstly, an asymptotic convergence of the velocity estimation error. Then, the control law, which is based on the estimated variables, forces the output system to track a desired trajectory despite presence of uncertainties (external forces) on the system dynamics. Simulation results are provided to show the effectiveness of the proposed control strategy.

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Index Terms

Computer Science
Information Sciences

Keywords

Control observer design chaotic oscillator uncertainties