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

机译：基于Backstepping方法的非线性电路振荡器控制：遗传算法

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摘要

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.
机译：本文利用现代非线性技术研究了非线性电路的动力学，并利用基于Lyapunov函数的反推方法控制了一类混沌系统。已经考虑了这种非线性系统在未知振幅的外部正弦扰动的影响下的行为。目的是分析该系统在不同幅度的干扰下的性能。我们说明了用于控制达芬振子问题以将系统稳定在平衡点的拟议方法。还已经使用遗传算法方法（GA）来计算控制器的参数。 GA可以成功应用于更好的控制器。仿真结果表明了该方法的有效性。

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  • 来源
    《Mathematical Problems in Engineering》 |2012年第4期|p.597328.1-597328.14|共14页
  • 作者

    Mahsa Khoeiniha; Hasan Zarabadipour; Ahmad Fakharian;

  • 作者单位

    Faculty of Engineering and Technology, Department of Electrical Engineering, Imam Khomeini International University, Qazvin 34149-16818, Iran;

    Faculty of Engineering and Technology, Department of Electrical Engineering, Imam Khomeini International University, Qazvin 34149-16818, Iran;

    Department of Electrical and Computer Engineering, Islamic Azad University, Qazvin Branch, Qazvin, Iran;

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