• Optics and Precision Engineering
  • Vol. 32, Issue 20, 3059 (2024)
Yang GAO1, Jia JIA2, Lin MENG1, Zhihu RUAN1, and Huiliang CAO3,*
Author Affiliations
  • 1Artificial Intelligence Industrial Technology Research Institute, Nanjing Institute of Technology,Nanjing267, China
  • 2College of Automation, Jiangsu University of Science and Technology, Zhenjiang1003, China
  • 3School of Instrument and Electronics, North University of China, Taiyuan00051, China
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    DOI: 10.37188/OPE.20243220.3059 Cite this Article
    Yang GAO, Jia JIA, Lin MENG, Zhihu RUAN, Huiliang CAO. Analysis and verification of phase error in force balance control loop of MEMS rate gyroscope[J]. Optics and Precision Engineering, 2024, 32(20): 3059 Copy Citation Text show less
    Schematic block diagram of MEMS gyroscope based on FTR rate control mode
    Fig. 1. Schematic block diagram of MEMS gyroscope based on FTR rate control mode
    Diagram of drive modal control loop with phase errors
    Fig. 2. Diagram of drive modal control loop with phase errors
    Trends in the effect of ωd-ωx on φx for different Qx
    Fig. 3. Trends in the effect of ωdx on φx for different Qx
    Effect of phase error on drive modal control loop
    Fig. 4. Effect of phase error on drive modal control loop
    Schematic diagram of FTR control loop with phase error
    Fig. 5. Schematic diagram of FTR control loop with phase error
    Effect of φye1 on rate measurement with constant rate input
    Fig. 6. Effect of φye1 on rate measurement with constant rate input
    Effect of φye1 on magnitude-phase frequency characteristic of FTR rate measurement loop
    Fig. 7. Effect of φye1 on magnitude-phase frequency characteristic of FTR rate measurement loop
    Trends in the effect of ωy-ωd and Qy on φy
    Fig. 8. Trends in the effect of ωyd and Qy on φy
    FTR rate measurement curves before and after phase compensation for different Qy
    Fig. 9. FTR rate measurement curves before and after phase compensation for different Qy
    Effect of φye2 on magnitude-phase frequency characteristic of FTR rate measurement loop
    Fig. 10. Effect of φye2 on magnitude-phase frequency characteristic of FTR rate measurement loop
    Effect of φye3 on magnitude-phase frequency characteristic of FTR rate measurement loop
    Fig. 11. Effect of φye3 on magnitude-phase frequency characteristic of FTR rate measurement loop
    Gyroscope measurement and control system and its test equipment
    Fig. 12. Gyroscope measurement and control system and its test equipment
    Phase difference between the drive modal pickoff signal for the force balance excitation signal (solid) and the sense modal pickoff signal (dash)
    Fig. 13. Phase difference between the drive modal pickoff signal for the force balance excitation signal (solid) and the sense modal pickoff signal (dash)
    Bias curves and Allan variance curves before and after phase compensation
    Fig. 14. Bias curves and Allan variance curves before and after phase compensation
    Rate measurement bandwidth test curves before and after phase compensation
    Fig. 15. Rate measurement bandwidth test curves before and after phase compensation
    参数符号数值
    驱动模态谐振频率/(rad·s-1ωx3 382.98*2π
    驱动模态品质因数Qx6 150
    驱动模态位移/电容转换系数/(pF·μm-1kxc0.083
    驱动模态振动位移/μmAx5
    检测模态谐振频率/(rad·s-1ωy3 397.84*2π
    检测模态品质因数Qx1061
    检测模态位移/电容转换系数/(pF·μm-1kyc0.115
    电容/电压转换系数/(V·pF-1kcv7.05
    哥氏质量/kgmc6.7*10-7
    电压/静电力系数/(N·V-1kvf0.499
    刚度耦合系数/(N·m-1kxy0.056 1
    Table 1. MEMS Gyroscope simulation parameters
    相位/(°)状态标度LSB/((°)·s-1
    φye1=5补偿前11 904
    补偿后11 951
    φye2+φye3=8.5补偿前11 950
    补偿后11 958
    Table 2. Scale factor before and after phase error compensation
    Yang GAO, Jia JIA, Lin MENG, Zhihu RUAN, Huiliang CAO. Analysis and verification of phase error in force balance control loop of MEMS rate gyroscope[J]. Optics and Precision Engineering, 2024, 32(20): 3059
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