Experimental Verifications of Vibration Suppression for a Smart Cantilever Beam with a Modified Velocity Feedback Controller

Experimental Verifications of Vibration Suppression for a Smart Cantilever Beam with a Modified Velocity Feedback Controller
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改进速度反馈控制器对智能悬臂梁振动抑制的实验验证

DOI:
10.1155/2014/172570
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发表时间:
2014-02
影响因子:
1.6
通讯作者:
Fucai Li
Fucai Li
中科院分区:
工程技术4区
文献类型:
--
作者:
Ting Zhang;Hongguang li;Guoping Cai;Fucai Li

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采用速度反馈控制器和扩展状态观测器(ESO)对压电作动器结合的智能柔性梁的振动抑制理论分析结果进行了实验验证。在基于极点放置理论的智能柔性梁状态反馈控制(SFC)设计过程中,状态反馈增益矩阵中速度反馈增益远大于位移反馈增益。针对速度反馈增益与位移反馈增益的差异,基于Hamilton原理的动力学模型,对智能梁采用改进的速度反馈控制器。此外,利用扩展状态观测器获得反馈速度,并利用智能柔性梁根部的箔片测量得到位移。控制电压由设计的速度反馈增益乘以反馈速度计算得到。通过对仿真结果的实验验证,表明自由振动的抑制幅度可达62.13%,速度的衰减幅度可达61.31%。结果表明,采用扩展状态观测器的修正速度反馈控制是可行的。
This paper presents various experimental verifications for the theoretical analysis results of vibration suppression to a smart flexible beam bonded with a piezoelectric actuator by a velocity feedback controller and an extended state observer (ESO). During the state feedback control (SFC) design process for the smart flexible beam with the pole placement theory, in the state feedback gain matrix, the velocity feedback gain is much more than the displacement feedback gain. For the difference between the velocity feedback gain and the displacement feedback gain, a modified velocity feedback controller is applied based on a dynamical model with the Hamilton principle to the smart beam. In addition, the feedback velocity is attained with the extended state observer and the displacement is acquired by the foil gauge on the root of the smart flexible beam. The control voltage is calculated by the designed velocity feedback gain multiplied by the feedback velocity. Through some experiment verifications for simulation results, it is indicated that the suppressed amplitude of free vibration is up to 62.13% while the attenuated magnitude of its velocity is up to 61.31%. Therefore, it is demonstrated that the modified velocity feedback control with the extended state observer is feasible to reduce free vibration.
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