中文摘要：

实验中发现,当负电容值选取较小时,基于负电容压电分流阻尼控制系统将不稳定。针对这个问题,利用反馈控制理论推导了负电容压电阻尼振动控制系统模型,并对其进行了稳定性分析,最后,基于d SPACE实时仿真系统,利用模拟电路和压电元件,设计并建立了四边固支的压电合金板的振动控制实验平台,进行了基于负电容压电分流阻尼的振动控制方法的稳定性实验研究,理论分析和实验结果表明：当负电容值大于且接近于或小于压电片的容抗值时,系统将不稳定,负电容压电阻尼振动系统稳定性的研究将会对负电容在振动和噪声控制系统中的应用具有重要指导意义。

英文摘要：

It was found that the vibration system based on the negative capacitance piezoelectric shunt damping will be unstable when the negative capacitance value is small in the experiment. Aiming at the problem,the vibration system model based on the negative capacitance piezoelectric shunt damping is derived with feedback control theory in this paper,and its stability is analyzed. Then,the experimental platform which is an alloy rectangular thin plate clamped with stiff base is set up using the d SPACE real-time simulation platform,the elements of analog circuit and piezoelectric element. Finally,experimental research is carried out in the platform. Theoretical analysis and experimental results show that the vibration control system based on the negative capacitance piezoelectric shunt damping will become unstable when the negative capacitance is smaller or slightly larger than the capacitance of the piezoelectric patch. The stability study of the piezoelectric shunt damping vibration system based on negative capacitance will have an important guiding significance for the negative capacitance applied in the vibration and noise control system.