Resonator vibration control based on parametric drive is a time-varying control method which has important applications in micro-electro-mechanical system (MEMS) sensors. This paper presents the design of a closed-loop parametric drive resonator vibration control system. The mathematical models of the parametric drive resonator and the control loops are derived theoretically. The system stability is analyzed with criteria for selecting the control loop parameters. Numerical simulations verify the theoretical analysis and the influences of the control loop parameters on the system performance. The analysis is then used to design a parametric drive vibration control for a MEMS resonator. The settling time of the starting process is less than 0.2 s and the variance of the amplitude at steady state is 0.04 mV. The research provides an important reference for the design of closed-loop parametric drive resonator vibration control systems.
摘要 参量激励是一种时变的谐振子振动激励方法, 在微机电 (MEMS) 传感器中有着重要的应用。该文针对基于参量激励的谐振子闭环振动控制系统, 通过理论推导得到了谐振子及控制环的数学模型, 并对控制系统稳定性进行了分析, 得到了控制系统参数选取的准则。通过数值仿真对理论研究的结论进行了验证, 并研究了控制环参数对系统性能的影响。基于上述分析实验实现了基于参量激励的谐振子振动控制, 谐振子起振过程的稳定时间小于0.2 s, 稳定后振动幅度的方差为0.04 mV。该研究对基于参量激励的谐振子振动控制系统的设计具有参考意义。