Observability Analysis of Alignment Errors in GPS/INS

  • Lee Mun Ki (Department of Interdisciplinary Program in Mechatronics) ;
  • Hong Sinpyo (Advanced Ship Engineering Research Center) ;
  • Lee Man Hyung (School of Mechanical Engineering, Pusan National University) ;
  • Kwon Sun-Hong (Department of Naval Architecture and Ocean Engineering, Pusan National University) ;
  • Chun Ho-Hwan (Department of Naval Architecture and Ocean Engineering, Pusan National University)
  • Published : 2005.06.01

Abstract

Misalignment can be an important problem in the integration of GPS/INS. Observability analysis of the alignment errors in the integration of low-grade inertial sensors and multi-antenna GPS is presented in this paper. A control-theoretic approach is adopted to study the observability of time-varying error dynamics models. The relationship between vehicle motions and the observability of the errors in the lever arm and relative attitude between GPS antenna array and IMU is given. It is shown that alignment errors can be made observable through maneuvering. The change of acceleration makes the components of the relative attitude error that are orthogonal to the direction of the acceleration change observable. The change of angular velocity makes the components of the lever arm error that are orthogonal to the direction of the angular velocity observable. The motion of constant angular velocity has no influence on the estimation of the lever arm.

Keywords

References

  1. Bar-Itzhack, I. Y. and Porat, B., 1981, 'Azimuth Observability Enhancement During Inertial Navigation System In-flight Alignment,' AIAA Journal of Guidance and Control, Vol. 3, pp. 337-344
  2. Baziw, J. and Leondes, C. T., 1972, In-flight Alignment and Calibration of Inertial Measurement Units-Part I : General Formulation,' IEEE Transactions on Aerospace and Electronic Systems, Vol. 8, pp. 440-449 https://doi.org/10.1109/TAES.1972.309541
  3. Bell, T., 2000-2001, Error Analysis of Attitude Measurement in Robotic Ground Vehicle Position Determination,' Navigation, Journal of The Institute of Navigation, Vol. 47, No. 4, pp.289-296
  4. Britting, K. R., 1971, Inertial Navigation System Analysis, Wiley-Interscience, New York
  5. Chen, C. T., 1984, Linear system theory and design, New York : Holt, Rinehart and Winston
  6. Defense Mapping Agency, World Geodetic System 1984 (WGS-84)-Its Definition and Relationship with Local Geodetic Systems, DMA TR 8350.2 Second Edition, Fairfax, V A, Defense Mapping Agency
  7. Gebre-Egziabher, D., Hayward, R. C. and Powell, J. D., 1998, 'A Low-Cost GPS/Inertial Attitude Heading Reference System (AHRS) for General Aviation Applications,' Proc. of 1998 IEEE Position, Location and Navigation Symposium, Palm Springs, CA, pp. 518-525 https://doi.org/10.1109/PLANS.1998.670207
  8. Goshen-Meskin, D. and Bar-Itzhack, I. Y., 1992, 'Observability Analysis of Piece-Wise Constant Systems-Part II : Application to Inertial Navigation In-Flight Alignment,' IEEE Transactions on Aerospace and Electronic Systems, Vol. 28, No. 4, pp. 1068-1075 https://doi.org/10.1109/7.165368
  9. D. Goshen-Meskin, I. Y. Bar-Itzhack, 'Observability analysis of piece-wise constant system part II : application to inertial navigation in-flight alignment', IEEE Trans. On Aerospace and Electronic System, vol. 28, no. 4, 1992 https://doi.org/10.1109/7.165367
  10. Goshen-Meskin, D. and Bar-Itzhack, I. Y., 1992, 'Unified Approach to Inertial Navigation System Error Modeling,' Journal of Guidance Control and Dynamics, Vol. 15, No. 3, pp.648-653 https://doi.org/10.2514/3.20887
  11. He, X. and Jianye, L., 2002, 'Analysis of Lever Arm Effects in GPS/IMU Integration System,' Transactions of Nanjing University of Aeronautics & Astronautics, Vol. 19, No. 1, pp. 59-64
  12. Hong, S., Chang, Y. S., Ha, S. K. and Lee, M. H., 2002, 'Estimation of Alignment Errors in GPS/INS Integration,' Proceedings of ION GPS 2002, Portland, OR, pp. 527-534
  13. Hong, S., Lee, M. H., Rios, J. A. and Speyer, J. L., 2002, 'Observability Analysis of INS with a GPS Multi-Antenna System,' KSME International Journal, Vol. 16, No. 11, pp. 1367-1378
  14. Hong, S., Lee, M. H., Chun, H. H., Kwon, S. H. and Speyer, J. L., 2005, 'Observability of Error States in GPS/INS Integration,' IEEE Transactions on Vehicular Technology, Vol. 54, No.2, pp.731-743 https://doi.org/10.1109/TVT.2004.841540
  15. Hong, S., Lee, M. H., Kwon, S. H. and Chun, H. H., 2004, 'A Car test for the Estimation of GPS/INS Alignment Errors,' IEEE Transactions on Intelligent Transportation Systems, Vol. 5, No. 3, pp.208-218 https://doi.org/10.1109/TITS.2004.833771
  16. Hou, H. and El-Sheimy, N., 2003, 'Inertial Sensors Errors Modeling Using Allan Variance,' Proc. of ION GPS/GNSS 2003, Portland, OR, pp.2860-2867
  17. Nash, R. A. Jr., Levine, S. A. and Roy, K. J., 1971, 'Error Analysis of Space-Stable Inertial Navigation Systems,' IEEE Transactions on Aerospace and Electronic Systems, Vol. 7, No. 4, pp.617-629 https://doi.org/10.1109/TAES.1971.310404
  18. Porat, B. and Bar-Itzhack, I. Y., 1981, 'Effect of Acceleration Switching During INS In-Flight Alignment,' AIAA Journal of Guidance and Control, Vol. 4, pp. 385-389 https://doi.org/10.2514/3.19744
  19. Wei, M. and Schwarz, K. P., 1990, 'A Strapdawn Inertial Algorithm Using an Earth-Fixed Cartesian Frame,' Navigation, Journal of The Institute of Navigation, Vol. 37, No. 2, pp. 153-167