Experimental control for initiating and maintaining rotation of parametric pendulum

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Abstract

In this paper, the authors have studied experimentally the control methods of a parametric pendulum excited harmonically to initiate and maintain a period one rotation – the most superior response for energy harvesting. For initiating the period one rotation inherent in the system, first the bang-bang method is applied. Then a new method where velocity is monitored is proposed and applied and finally the time-delayed feedback method with multi-switching is considered. Ultimately the problem of maintaining the rotation of the pendulum is addressed. For first time, robustness and sensitivity of the latter method to change of frequency and amplitude of excitation and added noise are studied. Finally, it has been demonstrated how the
delayed feedback method can be applied in a system of two pendula to ensure synchronized rotation.
Original languageEnglish
Pages (from-to)795-812
Number of pages18
JournalThe European Physical Journal. Special Topics
Volume223
Issue number4
DOIs
Publication statusPublished - Apr 2014

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Pendulums
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excitation
energy

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title = "Experimental control for initiating and maintaining rotation of parametric pendulum",
abstract = "In this paper, the authors have studied experimentally the control methods of a parametric pendulum excited harmonically to initiate and maintain a period one rotation – the most superior response for energy harvesting. For initiating the period one rotation inherent in the system, first the bang-bang method is applied. Then a new method where velocity is monitored is proposed and applied and finally the time-delayed feedback method with multi-switching is considered. Ultimately the problem of maintaining the rotation of the pendulum is addressed. For first time, robustness and sensitivity of the latter method to change of frequency and amplitude of excitation and added noise are studied. Finally, it has been demonstrated how thedelayed feedback method can be applied in a system of two pendula to ensure synchronized rotation.",
author = "{Vaziri Hamaneh}, {Seyed Vahid} and A. Najdecka and M. Wiercigroch",
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issn = "1951-6355",
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AU - Vaziri Hamaneh, Seyed Vahid

AU - Najdecka, A.

AU - Wiercigroch, M.

PY - 2014/4

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N2 - In this paper, the authors have studied experimentally the control methods of a parametric pendulum excited harmonically to initiate and maintain a period one rotation – the most superior response for energy harvesting. For initiating the period one rotation inherent in the system, first the bang-bang method is applied. Then a new method where velocity is monitored is proposed and applied and finally the time-delayed feedback method with multi-switching is considered. Ultimately the problem of maintaining the rotation of the pendulum is addressed. For first time, robustness and sensitivity of the latter method to change of frequency and amplitude of excitation and added noise are studied. Finally, it has been demonstrated how thedelayed feedback method can be applied in a system of two pendula to ensure synchronized rotation.

AB - In this paper, the authors have studied experimentally the control methods of a parametric pendulum excited harmonically to initiate and maintain a period one rotation – the most superior response for energy harvesting. For initiating the period one rotation inherent in the system, first the bang-bang method is applied. Then a new method where velocity is monitored is proposed and applied and finally the time-delayed feedback method with multi-switching is considered. Ultimately the problem of maintaining the rotation of the pendulum is addressed. For first time, robustness and sensitivity of the latter method to change of frequency and amplitude of excitation and added noise are studied. Finally, it has been demonstrated how thedelayed feedback method can be applied in a system of two pendula to ensure synchronized rotation.

U2 - 10.1140/epjst/e2014-02141-y

DO - 10.1140/epjst/e2014-02141-y

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JO - The European Physical Journal. Special Topics

JF - The European Physical Journal. Special Topics

SN - 1951-6355

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