All-clamped plate structures are usually subject to strong coupling, model uncertainties and system time-delay. To address these challenges, this work proposes a novel vibration control method based on a linear active disturbance rejection controller (LADRC) with time-delay compensation (TDC-LADRC). The mathematical model of the piezoelectric plate is first established based on system identification with an auxiliary variable method. Then ADRC is designed for the delay-free part by a smith predictor with a novel differentiator. An extended state observer (ESO) is drawn to estimate the internal and external disturbances, such as mode errors, higher harmonics and external environmental excitations. Then, real-time compensation is introduced via feed-forward mechanism to attenuate their adverse effects, so that optimal vibration suppression performance can be achieved by the proposed controller. Finally, based on NI-PCIe6343 acquisition card, an experimental set-up is designed to verify and compare the performance of the proposed TDC-LADRC against the traditional LADRC and the traditional predictor based LADRC (PLADRC). Comparative experimental results show that the proposed TDCLADRC possesses the best disturbance rejection and vibration suppression performance.

全夹板结构通常会受到强耦合，模型不确定性和系统时间延迟的影响。为了解决这些挑战，这项工作提出了一种新颖的振动控制方法，该方法基于具有时延补偿的线性有源干扰抑制控制器（LADRC）。首先基于系统识别和辅助变量法建立压电板的数学模型。然后由史密斯预测器和新颖的微分器为无延迟部分设计ADRC。绘制了扩展状态观察器（ESO）来估计内部和外部干扰，例如模式误差，高次谐波和外部环境激励。然后，通过前馈机制引入实时补偿，以减轻其不利影响，因此，通过提出的控制器可以实现最佳的减振性能。最后，基于NI-PCIe6343采集卡，设计了一个实验装置，以验证和比较建议的TDC-LADRC与传统LADRC和基于传统预测器的LADRC（PLADRC）的性能。对比实验结果表明，所提出的TDCLADRC具有最佳的抗扰度和抑振性能。