Analysis of a nonlinear magnetic levitation system vibrations controlled by a time-delayed proportional-derivative controller

被引：0
作者：
M. Eissa
A. Kandil
W. A. El-Ganaini
M. Kamel
机构：
[1] Menoufia University,Department of Physics and Engineering Mathematics, Faculty of Electronic Engineering
来源：
Nonlinear Dynamics | 2015年 / 79卷
关键词：
Multiple scales perturbation technique; Second-order approximation; Active control; Time delay; Controller effectiveness;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A time-delayed proportional-derivative controller is proposed in this paper to reduce the horizontal vibration of a magnetically levitated system having quadratic and cubic nonlinearities to primary and parametric excitations. Applying multiple scales perturbation technique, a second-order approximate solution is sought to analyze the nonlinear behavior of the system. The effects of the time delay are studied to indicate the stable range of time delays for the best performance. The results are compared with the numerical simulations, and this shows a good verification for the approximate solution and for the control algorithm used in this paper. A comparison with previously published work is included at the end.
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页码：1217 / 1233
页数：16
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[1]  
Jo H(2009)Amplitude reduction of primary resonance of nonlinear oscillator by a dynamic vibration absorber using nonlinear coupling Nonlinear Dyn. 55 67-78
[2]  
Yabuno H(2010)Amplitude reduction of parametric resonance by dynamic vibration absorber based on quadratic nonlinear coupling J. Sound Vib. 329 2205-2217
[3]  
Jo H(2014)Active vibration control of a nonlinear magnetic levitation system via Nonlinear Saturation Controller (NSC) Nonlinear Dyn. 72 517-537
[4]  
Yabuno H(2013)Positive position feedback controller (PPF) for suppression of nonlinear system vibration Nonlinear Dyn. 11 137-149
[5]  
Kamel M(2006)A comparison between active and passive vibration control of non-linear simple pendulum, Part I: transversally tuned absorber and negative Math. Comput. Appl. 23 451-462
[6]  
Kandil A(2007) feedback Acta Mech. Sin. 308 212-230
[7]  
El-Ganaini WA(2007)Active control of an aircraft tail subject to harmonic excitation J. Sound Vib. 62 177-193
[8]  
Eissa M(2010)Effects of delayed feedback control on nonlinear vibration absorber system Nonlinear Dyn. 67 735-753
[9]  
El-Ganaini WA(2012)Delayed saturation controller for vibration suppression in a stainless-steel beam Nonlinear Dyn. undefined undefined-undefined
[10]  
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