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Mathematical Problems in Engineering
Volume 2012, Article ID 597328, 14 pages
http://dx.doi.org/10.1155/2012/597328
Research Article

Nonlinear Electrical Circuit Oscillator Control Based on Backstepping Method: A Genetic Algorithm Approach

1Faculty of Engineering and Technology, Department of Electrical Engineering, Imam Khomeini International University, Qazvin 34149-16818, Iran
2Department of Electrical and Computer Engineering, Islamic Azad University, Qazvin Branch, Qazvin, Iran

Received 19 November 2011; Accepted 14 January 2012

Academic Editor: Ahmad M. Harb

Copyright © 2012 Mahsa Khoeiniha et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper investigated study of dynamics of nonlinear electrical circuit by means of modern nonlinear techniques and the control of a class of chaotic system by using backstepping method based on Lyapunov function. The behavior of such nonlinear system when they are under the influence of external sinusoidal disturbances with unknown amplitudes has been considered. The objective is to analyze the performance of this system at different amplitudes of disturbances. We illustrate the proposed approach for controlling duffing oscillator problem to stabilize this system at the equilibrium point. Also Genetic Algorithm method (GA) for computing the parameters of controller has been used. GA can be successfully applied to achieve a better controller. Simulation results have shown the effectiveness of the proposed method.