Tolerance of start-up control of rotation in parametric pendulum by delayed feedback |
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| Authors: | Yuichi Yokoi Takashi Hikihara |
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| Institution: | Department of Electrical Engineering, Kyoto University, Nishikyo, Kyoto 615-8510, Japan |
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| Abstract: | In this Letter, we propose a control method for establishing periodic rotation inherent in parametric pendulum based on a delayed feedback control. The experiments elucidate the existing range of periodic rotation in the domain of delay. The range of existence possibly represents the tolerance of proposed control with mistuned delay. It is confirmed that forced synchronization governs the existence and the width. The result assures that the frequency synchronization characteristics overcome the mistuned difference of delay in the control through entrainment. |
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| Keywords: | Delayed feedback control Bifurcation diagram Synchronization Start-up control Rotation Parametric pendulum |
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