Volume 9 Issue 4
Jul.  2016
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ZHANG Yu-lian, CHU Hai-Rong, ZHANG Hong-wei, ZHANG Ming-yue, CHEN Yang, LI Yin-hai. Characterists and compensation method of MEMS gyroscope random error[J]. Chinese Optics, 2016, 9(4): 501-510. doi: 10.3788/CO.20160904.0501
Citation: ZHANG Yu-lian, CHU Hai-Rong, ZHANG Hong-wei, ZHANG Ming-yue, CHEN Yang, LI Yin-hai. Characterists and compensation method of MEMS gyroscope random error[J]. Chinese Optics, 2016, 9(4): 501-510. doi: 10.3788/CO.20160904.0501

Characterists and compensation method of MEMS gyroscope random error

doi: 10.3788/CO.20160904.0501
Funds:

National Natural Science Foundation of China No.51305421

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  • Corresponding author: E-mail:yulian-2009@163.com
  • Received Date: 29 Feb 2016
  • Rev Recd Date: 14 Apr 2016
  • Publish Date: 01 Aug 2016
  • In order to improve the accuracy of MEMS gyro angular velocity, Allan analysis and Kalman filter algorithm are used to analyze and compensate the random error of MEMS gyroscope. First, Allan variance is used to analyze the gyro output data, and least squares algorithm is used to fit Allan variance. A quantitative evaluation of the random noise is obtained. Then, AR model is applied to set up a mathematical model of gyro output data, and AIC criterion is used to determine the order of the AR model, establishing a discrete time expression of gyro drift data. After that, the Kalman filter is designed based on gyro random error model established by AR model, and Kalman filtering algorithm is used for filtering processing of gyro output data. The random error of gyro can be compensated. Finally, the compensation effect of Kalman algorithm for the gyro random error is analyzed through Allan variance. Experimental results indicate that after compensation of Kalman filter the angular random walk is reduced by 97.24% from 0.148 7°/$\sqrt{h}$ to 0.004 1°/$\sqrt{h}$, the bias instability is reduced by 97.21% from 1.940 8°/h to 0.0542°/h, and rate random walk is reduced by 87.61% from 2.6985°/h$\frac{3}{2}$ to 0.3343°/h$\frac{3}{2}$. Kalman filter can be well applied to filtering process of MEMS gyroscope, and it can effectively reduce the gyro random error.

     

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  • [1]
    查颖,周长省,鞠玉涛.制导火箭弹MEMS陀螺仪信号处理仿真[J].计算机仿真,2013,30(12):70-73.

    ZHA Y,ZHOU CH SH,JU Y T. Simulation of signal processing for MEMS gyroscope for rockets[J]. Computer Simulation,2013,30(12):70-73.(in Chinese)
    [2]
    赵阳,裘安萍,施芹,等.硅微陀螺仪零偏稳定性的优化[J].光学 精密工程,2014,22(9):2381-2386.

    ZHAO Y,QIU A P,SHI Q,et al.. Optimization of bias stability for silicon microgyroscope[J]. Opt. Precision Eng.,2014,22(9):2381-2386.(in Chinese)
    [3]
    贾方秀,裘安萍,施芹,等.硅微振动陀螺仪设计与性能测试[J].光学 精密工程,2013,21(5):1272-1278.

    JIA F X,QIU A P,SHI Q,et al.. Design and experiment of micro machined vibratory gyroscope[J]. Opt. Precision Eng.,2013,21(5):1272-1278.(in Chinese)
    [4]
    沈军,缪玲娟,吴军伟,等.基于RBF神经网络的光纤陀螺启动补偿及应用[J].红外与激光工程,2013,42(1):119-123.

    SHEN J,MIAO L J,WU J W,et al.. Application and compensation for startup phase of FOG based on RBF neural network[J]. Infrared and Laser Engineering,2013,42(1):119-123.(in Chinese)
    [5]
    ZOU X F,LU X Y. Estimate method of MEMS gyroscope performance based on allan variance[J]. MEMS Device & Technology,2010,8(47):490-498.
    [6]
    赵曦晶,刘光斌,汪立新,等.光纤陀螺温度漂移自适应网络模糊推理补偿[J].红外与激光工程,2014,43(3):791-793.

    ZHAO X J,LIU G B,WANG L X,et al.. Compensation for FOG temperature drift based on adaptive neurofuzzy inference[J]. Infrared and Laser Engineering,2014,43(3):791-793.(in Chinese)
    [7]
    黄磊.光纤陀螺随机噪声的建模与滤波[J].弹箭与制导学报,2013,33(6):27-29.

    HUANG L. Modeling and filtering methods of FOG random noise[J]. J. Projectiles, Rockets, Missiles and Guidance,2013,33(6):27-29.(in Chinese)
    [8]
    于丽杰,高宗余.MEMS传感器随机误差分析[J].传感器与微系统,2012,31(3):63-65.

    YU L J,GAO Z Y. Stochastic error analysis on MEMS sensor[J]. Transducer and Microsystem Technologies,2012,31(3):63-65.(in Chinese)
    [9]
    张宇辛,卞鸿巍,朱涛.MEMS陀螺随机误差的实验测试分析[J].舰船电子工程,2013,33(5):140-142.

    ZHANG Y X,BIAN H W,ZHU T. Testing and analysis for stochastic error of MEMS gyroscopes[J]. Ship Electronic Engineering,2013,33(5):140-142.(in Chinese)
    [10]
    TANG J H,FU Z X,DENG ZH L. Identification method for RLG random errors based on allan variance and equivalent theorem[J]. Chinese J. Aeronautics,2009,4(22):273-276.
    [11]
    耿丹,许光明.小型激光陀螺随机误差的Allan方差分析[J].光学与光电技术,2013,11(1):12-13.

    GENG D,XU G M. Allan variance analysis of small laser gyro random error[J]. Optics & Optoelectronic Technology,2013,11(1):12-13.(in Chinese)
    [12]
    陈晨,赵文宏,徐慧鑫,等.基于卡尔曼滤波的MEMS陀螺仪漂移补偿[J].机电工程,2013,30(3):311-313.

    CHEN C,ZHAO W H,XU H X,et al.. Compensation of MEMS gyroscope error based on Kalman filter[J]. J. Mechanical & Electrical Engineering,2013,30(3):311-313.( in Chinese)
    [13]
    陈旭光,杨平,陈意.MEMS陀螺仪零位误差分析与处理[J].传感技术学报,2012,25(5):628-631.

    CHEN X G,YANG P,CHEN Y. Analysis and processing on zero position error of MEMS gyroscope[J]. Chinese J. Sensors and Actuators,2012,25(5):628-631.( in Chinese)
    [14]
    吴峰.两轴平台稳定系统中MEMS陀螺误差建模与分析[D].天津:天津大学,2012:41-56.

    WU F. Error modeling and analysis of MEMS gyroscope in the two-axis platform stabilization system[D]. Tianjin:Tianjin University,2012:41-56.(in Chinese)
    [15]
    DIAO ZH L,QUAN H Y,LAN L D,et al.. Analysis and compensation of MEMS gyroscope drift[C]. 2013 Seventh International Conference on Sensing Technology,IEEE,2013:592-595.
    [16]
    LIANG X,CHENG Y J,HONG L CH,et al.. A novel Kalman filter for combining outputs of MEMS gyroscope array[J]. Measurement,2012,3(45):745 750.
    [17]
    林旻序,汪永阳,戴明,等.线性加速度计在压电陀螺卡尔曼滤波技术中的应用[J].中国光学,2011,4(6):600-604.

    LIN M X,WANG Y Y,DAI M,et al.. Application of linear accelerometer to Kalman filter for piezoelectric gyro[J]. Chinese Optics,2011,4(6):600-604.(in Chinese)
    [18]
    DONG H SH,GAMINI D. Convergence and consistency analysis for extended Kalman filter based SLAM[J]. Robotics, IEEE Transactions on,2007,23(5):1036-1049.
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