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International Journal of Control, Automation and Systems v.3 no.2, 2005년, pp.166 - 172   피인용횟수: 2

A New TLS-Based Sequential Algorithm to Identify Two Failed Satellites

Jeon Chang-Wan    (Division of Information Technology Engineering, Soonchunhyang University   ); Lachapelle Gerard    (Department of Geomatics Engineering, University of Calgary  );
  • 초록

    With the development of RAIM techniques for single failure, increasing interest has been shown in the multiple failure problem. As a result, numerous approaches have been used in attempts to tackle this problem. This paper considers the two failure problem with total least squares (TLS) technique, a solution that has rarely been addressed because TLS requires an immense number of computations. In this paper, the special form of the observation matrix H, (that is, one column is exactly known) is exploited so as to develop an algorithm in a sequential form, thereby reducing computational load. The algorithm permits the advantages of TLS without the excessive computational burden. The proposed algorithm is verified through a numerical simulation.


  • 주제어

    GPS .   RAIM .   sequential algorithm .   total least squares.  

  • 참고문헌 (17)

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    4. C. W. Jeon, G. I. Jee, and G. Lachapelle, 'Development of a sequential algorithm for a GNSS-based multi-sensor vehicle navigation system,' International Journal of Control, Automation, and Systems, vol. 2, no. 2, pp. 165-170, June 2004 
    5. S. Ryan and G. Lachapelle, 'Augmentation of DGNSS with dynamic constraints for marine navigation,' Proc. of ION GPS 99, Nashville, Tennessee, September 14-17, 1999 
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    8. S. Van Huffel and J. Vandewalle, The Total Least Squares Problem Computational Aspects and Analysis, SIAM, 1991 
    9. S. Ryan and G. Lachapelle, 'Augmentation of DGNSS with dynamic constraint for marine navigation,' Proc. of ION GPS 99, Nashville, Tennessee, pp. 1303-1313, September 14-17, 1999 
    10. R. G. Brown, 'Solution of the two-failure GPS RAIM problem under worst-case bias conditions: parity space approach,' Journal of The Institute of Navigation, vol. 44, no. 4, pp. 425-431, 1998 
    11. C. W. Jeon and J. G. Lee, 'A new MRQI eigenpairs,' IEICE Transactions on Information and Systems, vol. E82-D, no. 6, pp. 1011-1019, June 1999 
    12. G. H. Golub and C. F. Van Loan, Matrix Computations, John Hopkins University Press, 1983 
    13. S. Van Huffle and J. Vandewalle, 'On the accuracy of total least squares techniques in the presence of errors on all data,' Automatica, vol. 25, no. 5, pp. 765-769, 1989 
    14. G. Lachapelle and S. Ryan, 'Statistical reliability measures for GPS,' IMA Workshop on Mathematical Challenges in GPS, University of Minnesota, Aug. 16-18, 2000 
    15. C. W. Jeon, H. J. Kim, and J. G. Lee, 'A fast and accurate algorithm for computing desired eigenpairs of hermitian matrices,' IEICE Trans. on Information and Systems, vol. E79-D, no. 3, pp. 182-188, March 1996 
    16. B. S. Pervan, D. G. Lawrence, C. E. Cohen, and B. W. Parkinson, 'Parity space methods for autonomous fault detection and exclusion algorithms using carrier phase,' Prof. of IEEE Position, Location, and Navigation Symposium, Atlanta, GA, pp. 649-656, April 1996 
    17. GPSoft, Satellite Navigation TOOLBOX 2.0 User's Guide, GPSoft LLC, October 1999 
  • 이 논문을 인용한 문헌 (2)

    1. Rhee Jae-Hoon ; Hong Won-Chul ; Kim Hyun-Soo ; Jeon Chang-Wan 2006. "Algorithm for Improving GPS Performance by Data Pre-processing" 제어·자동화·시스템공학 논문지 = Journal of control, automation and systems engineering, 12(8): 752~758     
    2. Jeon, Chang-Wan 2008. "" 제어·로봇·시스템학회지 = iCROS, 14(3): 58~63     

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