Efficient and Optimal Attitude Determination Using Recursive Global Positioning System Signal Operations

Journal of Guidance, Control, and Dynamics

Volumn 22, Issue 2, 1999, Pages 193-201

  Crassidis, John L ^a   Lightsey, E Glenn ^b   Markley, F Landis ^b  

^a TEXAS A AND M UNIVERSITY   (United States)

^b NASA GODDARD SPACE FLIGHT CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; NONLINEAR CONTROL SYSTEMS; OPTIMAL CONTROL SYSTEMS; PREDICTIVE CONTROL SYSTEMS; SIGNAL FILTERING AND PREDICTION;

OPTIMAL ATTITUDE DETERMINATION;

GLOBAL POSITIONING SYSTEM;

EID: 0033099011     PISSN: 07315090     EISSN: 15333884     Source Type: Journal    
DOI: 10.2514/2.4373     Document Type: Article

References (23)

1. Cohen, C. E., "Attitude Determination Using GPS," Ph.D. Dissertation, Dept. of Aeronautics and Astronautics, Stanford Univ., Stanford, CA, Dec. 1992.
2. Lachapelle, G., Cannon, M. E., Lu, G., and Loncarevic, B., "Shipborne GPS Attitude Determination During MMST-93," IEEE Journal of Oceanic Engineering, Vol. 21, No. 1, 1996, pp. 100-105.
3. Lightsey, E. G., Ketchum, E., Flatley, T. W., Crassidis, J. L., Freesland, D., Reiss, K., and Young, D., "Flight Results of GPS-Based Attitude Control on the REX-II Spacecraft," Proceedings of the 1996 ION- GPS (Kansas City, MO), Inst. of Navigation, Alexandria, VA, 1996, pp. 1037-1046.
4. Axelrad, P., and Ward, L. M., "Spacecraft Attitude Estimation Using the Global Positioning System: Methodology and Results for RADCAL," Journal of Guidance, Control, and Dynamics, Vol. 19, No. 6. 1996, pp. 1201-1209.
5. Cohen, C. E., and Parkinson, B. W., "Integer Ambiguity Resolution of the GPS Carrier for Spacecraft Attitude Determination," Advances in the Astronautical Sciences, Vol. 78, 1992, pp. 107-118; also American Astronautical Society Paper 92-015, 1992.
6. Hill, C. D., and Euler, H.-J., "An Optimal Ambiguity Resolution Technique for Attitude Determination," Proceedings of the IEEE Position, Location, and Navigation Symposium (Atlanta, GA), Inst. of Electrical and Electronics Engineers, Piscataway, NJ, 1996, pp. 262-269.
7. Crassidis, J. L., Markley, F. L., and Lightsey, E. G., "Optimal Integer Resolution for Attitude Determination Using Global Positioning System Signals," Proceedings of the AAS/GSFC 13th International Symposium on Space Flight Dynamics (Greenbelt, MD), CP-206858, NASA Goddard Space Flight Center, Greenbelt, MD, 1998, pp. 329-343.
8. Wahba, G., "A Least Squares Estimate of Spacecraft Attitude," SIAM Review, Vol. 7, No. 3, 1965, Problem 65-1, p. 409.
9. Shuster, M. D., and Oh, S. D., "Attitude Determination from Vector Observations," Journal of Guidance and Control, Vol. 4, No. 1, 1981, pp. 70-77.
10. Markley, F. L., "Attitude Determination from Vector Observations: A Fast Optimal Matrix Algorithm," Journal of the Astronautical Sciences, Vol. 41, No. 2, 1993, pp. 261-280.
11. Crassidis, J. L., and Markley, F. L., "New Algorithm for Attitude Determination Using Global Positioning System Signals," Journal of Guidance, Control, and Dynamics, Vol. 20, No. 5, 1997, pp. 891-896.
12. Rao, S. S., Engineering Optimization - Theory and Practice, 3rd ed., Wiley, New York, 1996, Appendix B.
13. Cohen, C. E., "Attitude Determination," Global Positioning System: Theory and Applications, Volume 2, edited by B. W. Parkinson and J. J. Spilker, Vol. 164, Progress in Astronautics and Aeronautics, AIAA, Reston, VA, 1996, Chap. 19.
14. Bar-Itzhack, I. Y., Montgomery, P. Y., and Garrick, J. C., "Algorithms for Attitude Determination Using GPS," Proceedings of the AIAA Guidance, Navigation, and Control Conference (New Orleans, LA), AIAA, Reston, VA, 1997, pp. 841-851.
15. Crassidis, J. L., and Markley, F. L., "Predictive Filtering for Nonlinear Systems," Journal of Guidance, Control, and Dynamics, Vol. 20, No. 3, 1997, pp. 566-572.
16. Shuster, M. D., "Maximum Likelihood Estimation of Spacecraft Attitude," Journal of the Astronautical Sciences, Vol. 37, No. 1, 1989, pp. 79-88.
17. Gelb, A. (ed.), Applied Optimal Estimation, MIT Press, Cambridge, MA, 1984, p. 192.
18. Rekalitis, G. V., Ravindran, A., and Ragsdell, K. M., Engineering Optimization - Methods and Applications, Wiley, New York, 1996, Chap. 3.
19. Markley, F. L., "Parameterization of the Attitude," Spacecraft Attitude Determination and Control, edited by J. R. Wertz, D. Reidel, Dordrecht, The Netherlands, 1978, pp. 414-416.
20. Hunt, L. R., Luksic, M., and Su, R., "Exact Linearizations of Input-Output Systems," International Journal of Control, Vol. 43, No. 1, 1986, pp. 247-255.
21. Palm, W. J., Modeling, Analysis, and Control of Dynamic Systems, Wiley, New York, 1983, pp. 230, 231.
22. Lefferts, E. J., Markley, F. L., and Shuster, M. D., "Kalman Filtering for Spacecraft Attitude Estimation," Journal of Guidance, Control, and Dynamics, Vol. 5, No. 5, 1982, pp. 417-429.
23. Crassidis, J. L., and Markley, F. L., "A Predictive Attitude Determination Algorithm," Proceedings of the Flight Mechanics/Estimation Theory Symposium (NASA Goddard Space Flight Center, Greenbelt, MD), NASA CP-3333, May 1997, pp. 249-263.