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Active vibration control for piezoelectricity cantilever beam: an adaptive feedforward control method

机译：压电悬臂梁的主动振动控制：自适应前馈控制方法

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摘要

This work is focused on the active vibration control of piezoelectric cantilever beam, where an adaptive feedforward controller (AFC) is utilized to reject the vibration with unknown multiple frequencies. First, the experiment setup and its mathematical model are introduced. Due to that the channel between the disturbance and the vibration output is unknown in practice, a concept of equivalent input disturbance (EID) is employed to put an equivalent disturbance into the input channel. In this situation, the vibration control can be achieved by setting the control input be the identified EID. Then, for the EID with known multiple frequencies, the AFC is introduced to perfectly reject the vibration but is sensitive to the frequencies. In order to accurately identify the unknown frequencies of EID in presence of the random disturbances and un-modeled nonlinear dynamics, the time-frequency-analysis (TFA) method is employed to precisely identify the unknown frequencies. Consequently, a TFA-based AFC algorithm is proposed to the active vibration control with unknown frequencies. Finally, four cases are given to illustrate the efficiency of the proposed TFA-based AFC algorithm by experiment.
机译：该工作专注于压电悬臂梁的主动振动控制，其中利用自适应馈电控制器（AFC）来拒绝具有未知多个频率的振动。首先，介绍了实验设置及其数学模型。由于干扰与振动输出之间的通道在实践中未知，因此采用了等效输入干扰（EID）的概念来将等同的干扰放入输入通道中。在这种情况下，通过将控制输入设置为识别的EID，可以实现振动控制。然后，对于具有已知多个频率的EID，引入AFC以完全拒绝振动，但对频率敏感。为了在存在随机干扰和未建模的非线性动态的情况下准确地识别EID的未知频率，采用时间频率分析（TFA）方法精确识别未知频率。因此，提出了一种基于TFA的AFC算法，其具有未知频率的主动振动控制。最后，通过实验说明了四种情况下说明了基于TFA的AFC算法的效率。

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