A Study of the Pendulum Equation with a Periodic Impulsive Force : Bifurcation and Control
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概要
- 論文の詳細を見る
The pendulum equation with a periodic impulsive force is investigated. This model described by a second order differential equation is also derived from dynamics of the stepping motor. In this paper, firstly, we analyze bifurcation phenomena of periodic solutions observed in a generalized pendulum equation with a periodic impulsive force. There exist two topologically different kinds of solution which can be chaotic by changing system parameters. We try to stabilize an unstable periodic orbit embedded in the chaotic attractor by small perturbations for the parameters. Secondly, we investigate the intermittent drive characteristics of two-phase hybrid stepping motor. We suggest that the unstable operations called pull-out are caused by bifurcations. Finally, we proposed a control method to avoid the pull-out by changing the repetitive frequency and stepping rate.
- 社団法人電子情報通信学会の論文
- 1995-10-25
著者
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KAWAKAMI Hiroshi
Faculty of Engineering, The University of Tokushima
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Ueta T
Tokushima Univ. Tokushima‐shi Jpn
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Ueta Tetsushi
Faculty Of Engineering Tokushima University
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Ueta Tetsushi
Faculty Of Engineering The University Of Tokushima
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Kawakami H
Tokushima Univ. Tokushima‐shi Jpn
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Morita Ikuro
Faculty of Engineering, The University of Tokushima
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Morita Ikuro
Faculty Of Engineering The University Of Tokushima
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Kawakami Hiroshi
Faculty Of Engineering Kyushu University.
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