Observability Analysis and Multi-Dimensional Filter Design of the INS/GPS Integrated System for Land Vehicles

차량용 INS/GPS 결합시스템의 가관측성 분석 및 다중 차수 필터 설계

  • 조성윤 (한국전자통신연구원 융합기술연구부문 텔레매틱스연구부)
  • Published : 2008.07.01


In this paper, the observability of the INS/GPS integrated system for a land vehicle is analyzed on measurements and different filters with respect to the measurements are designed. In the stationary case, it is shown that horizontal accelerometer biases and vertical attitude errors and gyro biases are unobservable. An 8-state filter is designed based on the observability analysis. When GPS signal is available, a 15-state filter is used with position and velocity measurements. To estimate the INS errors even in the case that GPS signal is blocked a filter is designed in consideration of the non-holonomic constraints of a land vehicle. In this case, the horizontal position and velocity errors and vertical attitude error are unobservable. However, a 12-state filter including the velocity states is designed to estimate the accelerometer biases. When GPS signal recovers, a 9-state filter is used excluding the sensor biases. This paper presents a multi-dimensional filter that switches the four filters according to the usable measurements and maneuver environments. A simulation is carried out to verify the performance of the proposed filter.


  1. S. Y. Cho and W. S. Choi, "Performance enhancement of low-cost land navigation for location based service," ETRI Journal., vol. 28, no. 2, pp. 131-144, Apr., 2006
  2. S. Y. Cho and C. G. Park, "MEMS based pedestrian navigation system," Journal of Navigation, vol. 59, Issue 1, pp. 135-153, Jan., 2006
  3. K. W. Jolodziej and J. Hjelm, Local Positioning Systems-LBS Applications and Services, CRC Press, 2006
  4. D. H. Titterton and J. L. Weston, Strapdown Inertial Navigation Technology, Peter Peregrinus Ltd., 1997
  5. S. Nassar, Z. Syed, X. Niu, and N. El-Sheimy, "Improving MEMS IMU/GPS systems for accurate land-based navigation applications," ION NTM, Monterey, USA, pp. 18-20, Jan., 2006
  6. 조성윤, 최완식, "시그마 포인트 기반 RHKF 필터를 사용한 지상항법용 DR/GPS 결합시스템의 성능 향상," 제어 자동화 시스템공학 논문지, 제12권, 제2호, pp. 174-185, 2006
  7. 김광진, 박찬국, 유명종, 박영범, "INS/GPS 강결합 기법에 대한 EKF와 UKF의 성능 비교," 제어자동화시스템 공학논문지, 제12권, 제8호, pp. 780-788, 2006
  8. 조성윤, 김병두, 조영수, 최완식, "INS/GPS를 위한 다중 필터 융합 기법," 한국항공우주학회지, 제34권, 제10호, pp. 48-55, 2006
  9. E. H. Shin and Naser El-Sheimy, "An unscented Kalman filter for in-motion alignment of low-cost IMUs," Proceedings of the IEEE Frames Conference, 2004
  10. J. A. Farrell and M. Barth, The Global Positioning System & Inertial Navigation, McGraw-Hill, 1999
  11. I. Y. Bar-Itzhack and N. Berman, "Control theoretic approach to inertial navigation systems," Journal of Guidance and Control, vol. 11, no. 3, pp. 237-245, 1998
  12. 박준구, "스트랩다운 관성항법 시스템의 운항중 정렬을 위한 궤적에 따른 가관측성 분석," 서울대학교 석사학위논문, 1996
  13. D. G. Meskin and I. Y. Bar-Itzhack, "Observability analysis of piece-wise constant systems-part II: Application to inertial navigation in-flight alignment," IEEE Trans. Aerospace and Electronic Systems, vol. 28, no. 4, pp. 1068-1075, 1992
  14. J. G. Lee, C. G. Park, and H. W. Park, "Multiposition alignment of strapdown inertial navigation system," IEEE Trans. Aerospace and Electronic Systems, vol. 29, no. 4, pp. 1323-1328, 1993
  15. Y. F. Jiang and Y. P. Lin, "Error estimation of INS ground alignment through observability analysis," IEEE Trans. Aerospace and Electronic Systems, vol. 28, no. 1, pp. 92-97, 1992
  16. 조성윤, "경사각을 갖는 관성항법시스템 초기 정밀정렬 의 오차 분석," 제어 로봇 시스템학회 논문지, 제 14 권, 제 6 호, pp. 595-602, 2008
  17. S. Sukkarieh, "Low cost, high integrity, aided inertial navigation systems for autonomous land vehicles," Ph.D. Thesis, The University of Sydney, Australia
  18. E. H. Shin, "Accuracy improvement of low cost INS/GPS for land applications," Master Thesis, The University of Calgary, Canada, 2001
  19. D. G. Meskin and I. Y. Bar-Itzhack, "Observability analysis of piece-wise constant systems - part I: Theory," IEEE Trans. Aerospace and Electronic Systems, vol. 28, no. 4, pp. 1056-1067, 1992
  20. F. M. Ham and R. G. Brown, "Observability eigenvalues, and Kalman filtering," IEEE Trans. Aerospace and Electronic Systems, vol. 29, no. 4, pp. 269-273, 1993
  21. J. W. Seo, H. K. Lee, J. G. Lee, and C. G. Park, "Lever arm compensation for GPS/INS/Odometer integrated system," IJCAS, vol. 4, no. 2, pp. 247-254, 2006