Static feedback versus fractionality of the electrical elements in the Van der Pol circuit

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• 作者：Mahsan Tavakoli-Kakhki (1)
  Mohammad Saleh Tavazoei (2)
  
• 关键词：Fractional order nonlinear system ; Van der Pol circuit ; Averaging method ; Static feedback control
• 刊名：Nonlinear Dynamics
• 出版年：2013
• 出版时间：2 - April 2013
• 年：2013
• 卷：72
• 期：1
• 页码：365-375
• 全文大小：614KB
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• 作者单位：Mahsan Tavakoli-Kakhki (1)
  Mohammad Saleh Tavazoei (2)
  
  1. Faculty of Electrical and Computer Engineering, Shahid Rajaee Teacher Training University, Tehran, Iran
  2. Electrical Engineering Department, Sharif University of Technology, Tehran, Iran
  
• ISSN：1573-269X

文摘

In this paper, it is shown that by benefiting from a static feedback control signal it is possible to reduce the effect of fractionality of the electrical capacitors on the amplitude of the oscillations produced by a Van der Pol circuit. The averaging method is used in this paper for the behavior analysis of the approximated responses of the under study circuits. Numerical simulation results are presented to confirm the effectiveness of the proposed control technique.