Department of Aerospace Engineering, Sejong University, Seoul 143-747, Korea.
Sensors (Basel). 2009;9(8):5952-67. doi: 10.3390/s90805952. Epub 2009 Jul 27.
We present two oscillation control algorithms for resonant sensors such as vibratory gyroscopes. One control algorithm tracks the resonant frequency of the resonator and the other algorithm tunes it to the specified resonant frequency by altering the resonator dynamics. Both algorithms maintain the specified amplitude of oscillations. The stability of each of the control systems is analyzed using the averaging method, and quantitative guidelines are given for selecting the control gains needed to achieve stability. The effects of displacement measurement noise on the accuracy of tracking and estimation of the resonant frequency are also analyzed. The proposed control algorithms are applied to two important problems in a vibratory gyroscope. The first is the leading-following resonator problem in the drive axis of MEMS dual-mass vibratory gyroscope where there is no mechanical linkage between the two proof-masses and the second is the on-line modal frequency matching problem in a general vibratory gyroscope. Simulation results demonstrate that the proposed control algorithms are effective. They ensure the proof-masses to oscillate in an anti-phase manner with the same resonant frequency and oscillation amplitude in a dual-mass gyroscope, and two modal frequencies to match in a general vibratory gyroscope.
我们提出了两种用于谐振传感器（如振动陀螺仪）的振荡控制算法。一种控制算法跟踪谐振器的谐振频率，另一种算法通过改变谐振器动力学将其调谐到指定的谐振频率。这两种算法都保持指定的振荡幅度。使用平均法分析每个控制系统的稳定性，并给出了选择控制增益以实现稳定性所需的定量指导。还分析了位移测量噪声对谐振频率跟踪和估计精度的影响。所提出的控制算法应用于振动陀螺仪中的两个重要问题。第一个是在 MEMS 双质量振动陀螺仪的驱动轴中的领先-跟随谐振器问题，其中两个质量块之间没有机械连接，第二个是在一般振动陀螺仪中的在线模态频率匹配问题。仿真结果表明，所提出的控制算法是有效的。它们确保在双质量陀螺仪中，两个质量块以相同的谐振频率和振荡幅度反相振荡，并且在一般振动陀螺仪中，两个模态频率匹配。
