The Transactions of the Korean Institute of Electrical Engineers D (대한전기학회논문지:시스템및제어부문D)

The Korean Institute of Electrical Engineers (대한전기학회)
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Optimal Configuration of Redundant Inertial Sensors with Uncertainty

불확실성을 고려한 중복 관성센서의 최적 배치

  • Published : 2005.02.01
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Abstract

In this paper we consider an optimal configuration problem for redundant inertial sensors which have uncertainty such as misalignment, scale factor error. The optimal configuration problem is treated from the viewpoint of navigation accuracy. We propose a necessary and sufficient condition for the optimal configuration of redundant sensors with no uncertainty, and a sufficient condition for the optimal configuration of redundant sensors with uncertainty. Finally we propose a condition for the optimal configuration based both navigation performance and FDI(fault detection and isolation).

Keywords

References

  1. James C. Wilcox, 'Competitive Evaluation of Failure Detection Algorithms for Strapdown Redundant Inertial Instruments,' Journal of Spacecraft. Vol. 11, No.7, July 1974
  2. Tze-thong Chien and Milton B. Adams, 'A Sequential Failure Detection Technique and its Application,' IEEE Transactions on Automatic Control. October 1976 https://doi.org/10.1109/TAC.1976.1101363
  3. Kevin C. Daly, Eliezer Gai and James V. Harrison, 'Generalized Likelihood Test for FDI in Redundant Sensor Configurations,' Journal of Guidance and Control. Vol. 2, No. 1, Jan-Feb 1979 https://doi.org/10.2514/3.55825
  4. Hong Jin and Hong Y. Zhang, 'Optimal Parity Vector Sensitive to Designated Sensor Fault,' IEEE Transactions on Aerospace and Electronic Systems, Vol. 35, No. 35 pp.1122-1128, October, 1999 https://doi.org/10.1109/7.805431
  5. Gene H. Golub, Charles F. Van Loan, 'An Analysis of The Total Least Squares Problem,' SIAM Journal on Numerical Analysis, Vol.17, No.6, pp.883-893, December 1980 https://doi.org/10.1137/0717073
  6. Gene H. Golub, Charles F. Van Loan, Matrix Computations, The Johns Hopkins Univ. Press, pp.242-245, 1996
  7. Harrison. J.V. and Gai, E.G. 'Evaluating Sensor Orientations for Navigation Performance and Failure Detection,' IEEE Trans. AES, Vol. AES-13, pp. 631-643, November 1977 https://doi.org/10.1109/TAES.1977.308504
  8. Jerold P. Gilmore and Richard A. McKern, 'A Redundant Strapdown Inertial Reference Unit(SIRU),' Journal of Soacecrcft, Vol. 9, No. 1, pp.39-47, 1972
  9. Jerry M. Mendel, Lessons in Estimation Theory for Signal Processing, Communications, and Control, Prentice-Hall International, Inc., pp.38-39, 1995
  10. Sabine Van Huffel and Joos Vandewalle, 'On the Accuracy of Total Least Squares and Least Squares Techniques in the Presence of Errors on all Data,' Automatica, Vol. 25, No.5, pp. 765-769, 1989 https://doi.org/10.1016/0005-1098(89)90033-2
  11. 김정용, 양철관, 심덕선, '관성항법시스템의 중첩센서 배치에 대한 항법 및 고장검출 성능 분석', 제어자동화시스템공학회 논문지, vol.8, No.8, pp.698-705, 2002.8 https://doi.org/10.5302/J.ICROS.2002.8.8.698
  12. 정도형, 박찬국, 이장규, '2-자유도 중첩센서의 최적배치,' 한국항공우주학회, pp.97-106, vol.20, No.3, 1992.9