Chaos Suppression in the Uncertain Van Der Pol Oscillator

Author

Boghrabadi, Nafiseh Seifi ; Motlagh, M. Reza Jahed ; Sayidi, Amir Mohammad

Author_Institution

Electr. & Comput. Eng. Dept., Sci. & Res. Branch of Azad Univ., Tehran, Iran

fYear

2008

fDate

10-12 Dec. 2008

Firstpage

208

Lastpage

213

Abstract

This paper presents a new robust tracking control for the nonlinear continues-time chaotic phi⁶- van der pol oscillator with dynamic uncertainties. The uncertainties could be composed of external disturbance, parameter variation or modeling errors. The designed controller which is based on Lyapunov methodology is an input-output control scheme that makes chaos suppression. The controller is equipped with a feedback linearizing-like law and an uncertainty estimator. Finally, simulations are provided to show the effectiveness of the proposed controller.

Keywords

Lyapunov methods; continuous time systems; control system synthesis; feedback; linearisation techniques; nonlinear control systems; relaxation oscillators; robust control; tracking; uncertain systems; Lyapunov methodology; chaos suppression; dynamic uncertainty; external disturbance; feedback linearization; input-output control; modeling error; nonlinear continues-time chaotic phi⁶- van der pol oscillator; parameter variation; robust tracking control; uncertainty estimator; Adaptive control; Biological system modeling; Chaos; Control systems; Linear feedback control systems; Lyapunov method; Oscillators; Robust control; State estimation; Uncertainty; chaos; lyapunov; nonlinear; observer; van der pol ocsillator;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Intelligence for Modelling Control & Automation, 2008 International Conference on

Conference_Location

Vienna

Print_ISBN

978-0-7695-3514-2

Type

conf

DOI

10.1109/CIMCA.2008.156

Filename

5172626