A Model of Gravity Vector Measurement Noise for Estimating Accelerometer Bias in Gravity Disturbance Compensation

Compensation of gravity disturbance can improve the precision of inertial navigation, but the effect of compensation will decrease due to the accelerometer bias, and estimation of the accelerometer bias is a crucial issue in gravity disturbance compensation. This paper first investigates the effect of accelerometer bias on gravity disturbance compensation, and the situation in which the accelerometer bias should be estimated is established. The accelerometer bias is estimated from the gravity vector measurement, and a model of measurement noise in gravity vector measurement is built. Based on this model, accelerometer bias is separated from the gravity vector measurement error by the method of least squares. Horizontal gravity disturbances are calculated through EGM2008 spherical harmonic model to build the simulation scene, and the simulation results indicate that precise estimations of the accelerometer bias can be obtained with the proposed method.

[1]  David W. Harriman,et al.  Gravity-induced errors in airborne inertial navigation , 1986 .

[2]  Meiping Wu,et al.  The first airborne scalar gravimetry system based on SINS/DGPS in China , 2013, Science China Earth Sciences.

[3]  I. Bar-Itzhack,et al.  Observability analysis of piece-wise constant systems with application to inertial navigation , 1990, 29th IEEE Conference on Decision and Control.

[4]  Jing Wang,et al.  An Online Gravity Modeling Method Applied for High Precision Free-INS , 2016, Sensors.

[5]  J. Moryl,et al.  The universal gravity module for enhanced submarine navigation , 1998, IEEE 1998 Position Location and Navigation Symposium (Cat. No.98CH36153).

[6]  Lin Cong,et al.  On gravity disturbance compensation technology of high-precision SINS based on B-spline method , 2014, Proceedings of 2014 IEEE Chinese Guidance, Navigation and Control Conference.

[7]  Jiancheng Fang,et al.  An Accurate Gravity Compensation Method for High-Precision Airborne POS , 2014, IEEE Transactions on Geoscience and Remote Sensing.

[8]  Sinpyo Hong,et al.  Observability of error States in GPS/INS integration , 2005, IEEE Transactions on Vehicular Technology.

[9]  Hongxu Ma,et al.  Estimation of Accelerometer Bias of Airborne Gravity while Aircraft Sliding , 2010, 2010 International Conference on Measuring Technology and Mechatronics Automation.

[10]  M. Kayton.  FUNDAMENTAL LIMITATIONS ON INERTIAL MEASUREMENTS , 1962 .

[11]  A. Bruton.  Improving the accuracy and resolution of SINS/DGPS airborne gravimetry , 2000 .

[12]  G. Gilster.  High accuracy performance capabilities of the military standard ring laser gyro inertial navigation unit , 1994, Proceedings of 1994 IEEE Position, Location and Navigation Symposium - PLANS'94.

[13]  Agus Budiyono,et al.  Principles of GNSS, Inertial, and Multi-sensor Integrated Navigation Systems , 2012 .

[14]  Stanley K. Jordan,et al.  Self‐consistent statistical models for the gravity anomaly, vertical deflections, and undulation of the geoid , 1972 .

[15]  Meiping Wu,et al.  The impact of initial alignment on compensation for deflection of vertical in inertial navigation , 2017, 2017 IEEE International Conference on Cybernetics and Intelligent Systems (CIS) and IEEE Conference on Robotics, Automation and Mechatronics (RAM).

[16]  Fengtian Han,et al.  Gravity Compensation Using EGM2008 for High-Precision Long-Term Inertial Navigation Systems , 2016, Sensors.

[17]  Christopher Jekeli,et al.  Gravity Requirements for Compensation of Ultra-Precise Inertial Navigation , 2005 .

[18]  Jörg F. Wagner.  GNSS/INS integration: still an attractive candidate for automatic landing systems? , 2005 .

[19]  Xingshu Wang,et al.  An improved method for gravity disturbances compensation in INS/GPS integrated navigation , 2014, 2014 12th International Conference on Signal Processing (ICSP).

[20]  P. O. Hanson,et al.  Correction for deflections of the vertical at the runup site , 1988, IEEE PLANS '88.,Position Location and Navigation Symposium, Record. 'Navigation into the 21st Century'..

[21]  Jing Wang,et al.  An improved gravity compensation method for high-precision free-INS based on MEC–BP–AdaBoost , 2016 .

[22]  W. E. Featherstone.  THE USE AND ABUSE OF VERTICAL DEFLECTIONS , 1999 .

[23]  Meiping Wu,et al.  An iterative method for the accurate determination of airborne gravity horizontal components using strapdown inertial navigation system/global navigation satellite system , 2015 .

[24]  Edward J. Krakiwsky,et al.  Geodesy, the concepts , 1982 .

[25]  Xiao Xuan,et al.  The Influence of Gravity Disturbance on High-Precision Long-Time INS and Its Compensation Method , 2014, 2014 Fourth International Conference on Instrumentation and Measurement, Computer, Communication and Control.

[26]  Jörg F. Wagner,et al.  Integrating satellite and inertial navigation—conventional and new fusion approaches , 2001 .

[27]  Kenneth R Britting,et al.  Inertial navigation systems analysis , 1971 .

[28]  Jing Wang,et al.  Application of the spherical harmonic gravity model in high precision inertial navigation systems , 2016 .

[29]  L. Shaw,et al.  Statistical models for the vertical deflection from Gravity-Anomaly Models , 1969 .

[30]  Mei-ping Wu,et al.  Marine gravimetry using the strapdown gravimeter SGA-WZ , 2017, Marine Geophysical Research.

[31]  A. Gelb,et al.  Effect of deflections of the vertical on the performance of a terrestrial inertial navigation system. , 1969 .

[32]  Meiping Wu,et al.  Improving airborne strapdown vector gravimetry using stabilized horizontal components , 2013 .

[33]  Paul D. Groves,et al.  Principles of GNSS, Inertial, and Multi-sensor Integrated Navigation Systems , 2012 .