Random drift error of fiber optic gyroscope is the crucial factor that influences the calculation accuracy of the attitude of airborne vector gravimetry. Modeling and compensating it can restrain this type of error significantly. Given the problem that traditional ARMA model can be only applied in the case of stable random drift, which cannot meet the need of real-time filtering, an ARIMA model (autoregressive integrated moving average) which is suitable for non-stable random drift is introduced along with the detailed procedure in this paper. The algorithm that can eliminate the constant component of original sampling sequence with real-time averaging method is also proposed as well as the real-time Kalman filtering estimation of the random drift. With the methods proposed above, the variance of random drift can be reduced by 46.5%. The analysis of Allan variance suggests that the coefficients of random drift for angle and angular speed have decreased about 50% and 40%, respectively. The results showed that non-stable random drift can be accurately characterized by ARIMA model and that online estimation of random drift can be realized by real-time average algorithm, indicating the potential to improve the calculation accuracy of the attitude of airborne vector gravimetry.
WANG Zheng
,
LI Jiancheng
. Research on the Real-time Compensation of the Fiber Optic Gyroscope Random Drift in Airborne Vector Gravimetry[J]. Acta Geodaetica et Cartographica Sinica, 2017
, 46(2)
: 144
-150
.
DOI: 10.11947/j.AGCS.2017.20160174
[1] 蔡劭琨. 航空重力矢量及误差分离方法研究[D]. 长沙:国防科学技术大学, 2014. CAI Shaokun. The Research about Airborne Vector Gravimeter and Methods of Errors Separation[D]. Changsha:National University of Defense Technology, 2014.
[2] FORSBERG R, OLESEN A V. Airborne Gravity Field Determination[M]//XU Guochang. Sciences of Geodesy-I. Berlin Heidelberg:Springer, 2010:83-104.
[3] LI X. Examination of Two Major Approximations Used in the Scalar Airborne Gravimetric System-A Case Study Based on the LCR System[J]. Journal of Geodetic Science, 2013, 3(1):32-39.
[4] GLEASON D M. Gravity Vector Estimation from Integrated GPS/Strapdown IMU Data[J]. Navigation, 1992, 39(2):237-253.
[5] JEKELI C. Airborne Vector Gravimetry Using Precise, Position-aided Inertial Measurement Units[J]. Bulletin Géodésique, 1994, 69(1):1-11.
[6] DEURLOO R A,MARTIN J, BASTOS M L, et al. Comparison of the Performance of Two Types of Inertial Systems for Strapdown Airborne Gravimetry[C]//Proceedings of the IEEE/ION Position Location and Navigation Symposium. 2012.
[7] AYRES-SAMPAIO D, DEURLOO R, BOS M, et al. A Comparison Between Three IMUs for Strapdown Airborne Gravimetry[J]. Surveys in Geophysics, 2015, 36(4):571-586.
[8] 毛奔, 林玉荣. 惯性器件测试与建模[M]. 哈尔滨:哈尔滨工程大学出版社, 2008. MAO Ben, LIN Yurong. Testing and Modelling of Inertial Device[M]. Harbin:Harbin Engineering University Press, 2008.
[9] 严恭敏, 李四海, 秦永元. 惯性仪器测试与数据分析[M]. 北京:国防工业出版社, 2012. YAN Gongmin, LI Sihai, QIN Yongyuan. Testing and Data Analysis of Inertial Instruments[M]. Beijing:National Defense Industry Press, 2012.
[10] ORAVETZ A S, SANDBERG H J. Stationary and Nonstationary Characteristics of Gyro Drift Rate[J]. AIAA Journal, 1970, 8(10):1766-1772.
[11] CHEN Xiyuan. Modeling Random Gyro Drift by Time Series Neural Networks and by Traditional Method[C]//Proceedings of the 2003 International Conference on Neural Networks and Signal Processing. Nanjing, China:IEEE, 2003, 1:810-813.
[12] 吴富梅, 杨元喜. 基于高阶AR模型的陀螺随机漂移模型[J]. 测绘学报, 2007, 36(4):389-394. WU Fumei, YANG Yuanxi. Gyroscope Random Drift Model Based on the Higher-order AR Model[J]. Acta Geodaetica et Cartographica Sinica, 2007, 36(4):389-394.
[13] 白俊卿, 张科, 卫育新. 光纤陀螺随机漂移建模与分析[J]. 中国惯性技术学报, 2012, 20(5):621-624. BAI Junqing, ZHANG Ke, WEI Yuxin. Modeling and Analysis of Fiber Optic Gyroscope Random Drifts[J]. Journal of Chinese Inertial Technology, 2012, 20(5):621-624.
[14] 王立冬, 张春熹. 高精度光纤陀螺信号的在线建模与滤波[J]. 光电工程, 2007, 34(1):1-3, 58. WANG Lidong, ZHANG Chunxi. On-line Modeling and Filter of High-precise FOG Signal[J]. Opto-Electronic Engineering, 2007, 34(1):1-3, 58.
[15] 李家垒, 许化龙, 何婧. 光纤陀螺随机漂移的实时滤波方法研究[J]. 宇航学报, 2010, 31(12):2717-2721. LI Jialei, XU Hualong, HE Jing. Real-time Filtering Methods of Random Drift of Fiber Optic Gyroscope[J]. Journal of Astronautics, 2010, 31(12):2717-2721.
[16] BOX G E P,JENKINS G M.Time Series Analysis:Forecasting and Control[M]. San Francisco:Holden-day Press, 1970.
[17] 杨叔子, 吴雅, 轩建平. 时间序列分析的工程应用[M]. 2版. 武汉:华中科技大学出版社, 2007. YANG Shuzi, WU Ya, XUAN Jianping. Time Series Analysis in Engineering Application[M]. 2nd ed. Wuhan:Huazhong University of Science and Technology Press, 2007.
[18] GOODWIN G C,PAYNE R L.Dynamic System Identification:Experiment Design and Data Analysis[M]. New York:Academic Press, 1977.
[19] AKAIKE H. Fitting Autoregressive Models for Prediction[J]. Annals of the Institute of Statistical Mathematics, 1969, 21(1):243-247.
[20] AKAIKE H. A Bayesian Extension of the Minimum AIC Procedure of Autoregressive Model Fitting[J]. Biometrika, 1979, 66(2):237-242.
[21] ANSLEY G F. An Algorithm for the Exact Likelihood of a Mixed Autoregressive-moving Average Process[J]. Biometrika, 1979, 66(1):59-65.
[22] KALMAN R E. A New Approach to Linear Filtering and Prediction Problems[J]. Journal of Basic Engineering, 1960, 82(1):35-45.
[23] TSIEN H S. Engineering Cybernetics[M]. New York:McGraw-Hill, 1954.
[24] CANON M D, CULLUM C D JR, POLAK E. Theory of Optimal Control and Mathematical Programming[M]. New York:McGraw-Hill, 1970.
[25] IEEE Std. 952-1997 IEEE Standard Specification Format Guide and Test Procedure for Single-axis Interferometric Fiber Optic Gyros[S].[S.l.]:IEEE, 1998.