On controlling the response of primary and parametric resonances of a nonlinear magnetic levitation system

被引：0
|
作者：
M. Eissa
A. Kandil
M. Kamel
W. A. El-Ganaini
机构：
[1] Menoufia University,Department of Physics and Engineering Mathematics, Faculty of Electronic Engineering
来源：
Meccanica | 2015年 / 50卷
关键词：
Multiple scales perturbation technique; Second order approximation; Proportional derivative controller; Controller effectiveness; Jump phenomenon;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, a proportional-derivative controller is proposed to reduce the horizontal vibration of a magnetically levitated system having quadratic and cubic nonlinearities to primary and parametric excitations. A second order approximate solution is sought using the method of multiple scales perturbation technique to clarify the nonlinear behavior for both amplitude and phase of the system. The effect of feedback signal gain is studied to indicate the optimum values for best performance. Validation curves are included to compare the approximate solution and the numerical simulation. A comparison with previously published work is included.
引用
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页码：233 / 251
页数：18
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