Observability criteria for angles-only navigation

IEEE Transactions on Aerospace and Electronic Systems

Volumn 45, Issue 3, 2009, Pages 1194-1208

  Woffinden, David C ^a   Geller, David K ^a  

^a Utah State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL EXPRESSIONS; DETECTABILITY; GRAPHICAL INTERPRETATIONS; LINE-OF-SIGHT; LINEAR DYNAMICS; ORBITAL MOTIONS; RELATIVE MOTION; RELATIVE POSITIONS; SATELLITE FORMATION FLIGHT; SENSOR NOISE;

ANGLE MEASUREMENT; NAVIGATION; NONLINEAR SYSTEMS; SPACE FLIGHT; SPACE STATIONS;

OBSERVABILITY;

EID: 72649083206     PISSN: 00189251     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAES.2009.5259193     Document Type: Article

References (47)

1. Cadre, J-P. L., and Tŕemois, O. Bearings-only tracking for maneuvering sources. IEEE Transactions on Aerospace and Electronic Systems, 34, 1 (Jan. 1998), 179-192.
2. Monahan, R. D. The Optimal Maneuver for Bearings Only Target Tracking. Master's thesis, Royal Military College of Canada, Apr. 1994.
3. Nardone, S. C., and Graham, M. L. A closed-form solution to bearings-only target motion analysis. IEEE Journal of Oceanic Engineering, 22, 1 (Jan. 1997), 168-178.
4. Ristic, B., and Arulampalam, M. S. Tracking a manoeuvering target using angle-only measurements: Algorithms and performance. Signal Processing: EURASIP, 83, 2 (2003), 1223-1238.
5. Aidala, V. J. Kalman filter behavior in bearings-only tracking applications. IEEE Transactions on Aerospace and Electronic Systems, AES-15, 1 (Jan. 1979), 29-39.
6. Bhaskaran, S., Riedel, J., Synnott, S., and Wang, T. The deep space 1 autonomous navigation system: A post-flight analysis. Presented at the AIAA/AAS Astrodynamics Specialist Conference, Navigation and Flight Mechanics Section, Jet Propulsion Laboratory, Denver, CO, 2000.
7. Kawaguichi, J., Hashimoto, T., Kubota, T., and Sawai, S. Autonomous optical guidance and navigation strategy around a small body. Journal of Guidance, Control, and Dynamics, 20, 5 (Sept.-Oct. 1997), 1010-1017.
8. Riedel, J., Bhaskaran, S., Eldred, D., Gaskell, R., Grasso, C., Kennedy, B., Kubitschek, D., Mastrodemos, N., Synnott, S., Vaughan, A., and Werner, R. AutoNav Mark3: Engineering the next generation of autonomous onboard navigation and guidance. Presented at the AIAA Guidance, Navigation, and Control Conference, Jet Propulsion Laboratory, Keystone, CO, 2006.
9. Jr, C. H. A. Processing onboard optical data for planetary approach navigation. Journal of Spacecraft and Rockets, 9, 10 (Oct. 1972), 746-750.
10. Gauss, C. F. Theoria Motus: Theory of the Motion of the Heavenly Bodies Moving About the Sun in Conic Sections. Boston: Little Brown, 1857.
11. Laplace, P. S. Ḿemoires sur la d́etermination des orbites des coḿetes. Ḿemoires de l'Academie Royale des Sciences de Paris, 1780.
12. Escobal, P. R. Methods of Orbit Determination. New York: Wiley, 1965, 239-290.
13. Escobal, P. R. A solution to the large arc angles-only orbit determination problem. Operations Research Incorporated, Technical Report 64-110, Apr. 14, 1964.
14. Vallado, D. A. Fundamentals of Astrodynamics and Applications (2nd ed.). Boston: Kluwer Academic Publishers, 2004, ch. 7.3, 413-429.
15. Sabol, C., and Vallado, D. A fresh look at angles-only orbit determination. Presented at the AAS/AIAA Astrodynamics Specialist Conference, vol.AAS 99-363, Girdwood, Alaska, Aug. 16-19, 1999.
16. Johnson, E., Calise, A., Watanabe, Y., Ha, J., and Neidhoefer, J. Real-time vision-based relative navigation. Presented at the AIAA Guidance, Navigation, and Control Conference, Georgia Institute of Technology, Keystone, CO, 2006.
17. Cao, C., and Hovakimyan, N. Active control of visual sensor for aerial tracking. Presented at the AIAA Guidance, Navigation, and Control Conference, Keystone, CO, Aug. 2006.
18. Yu, M. K. Observability of nonlinear controlled systems. Automation and Remote Control, 29 (1968), 1384-1396.
19. Translated from Avtomatika i Telemekhanika, 9 (Sept. 1968), 29-42.
20. Yu, M. K. Simple conditions of observability of nonlinear contorlled systems. Automation and Remote Control, 29 (1968), 1575-1584.
21. Translated from Avtomatika i Telemekhanika, 10 (Oct. 1968), 32-41.
22. Griffith, E. W., and Kumar, K. On the observability of nonlinear systems: I. Journal of Mathematical Analysis and Applications, 35 (1971), 135-147.
23. Fitts, J. M. On the Observability of nonlinear systems with applications to nonlinear regression analysis. Presented at the Symposium on Nonlinear Estimate Theory and Its Applications, San Diego, CA, 1972.
24. Kou, S. R., Elliott, D. L., and Tarn, T. J. Observability of nonlinear systems. Journal of Information and Control, 22 (1973), 89-99.
25. Hermann, R., and Krener, A. J. Nonlinear controllability and observability. IEEE Transactions on Automatic Control, AC-22, 5 (Oct. 1977), 592-593.
26. Marquez, H. J. Nonlinear Control Systems Analysis and Design. New York: Wiley, 2003, ch. 11, 291-306.
27. Marino, R., and Tomei, P. Nonlinear Control Design: Geometric, Adaptive and Robust. Upper Saddle River, NJ: Prentice-Hall, 1995, ch. 5, 203-240.
28. Nardone, S. C., and Aidala, V. J. Observability criteria for bearings-only target motion analysis. IEEE Transactions on Aerospace and Electronic Systems, AES-17, 2 (Mar. 1981), 162-166.
29. Hammel, S. E., and Aidala, V. J. Observability requirements for three-dimensional tracking via angle measurements. IEEE Transactions on Aerospace and Electronic Systems, AES-21, 2 (Mar. 1985), 200-207.
30. Fogel, E., and Gavish, M. Nth-order dynamics target observability from angle measurements. IEEE Transactions on Aerospace and Electronic Systems, 24, 3 (May 1988), 305-308.
31. Aidala, V. J., and Hammel, S. E. Utilization of modified polar coordinates for bearings-only tracking. IEEE Transactions on Automatic Control, AC-28, 3 (Mar. 1983), 283-294.
32. Hammel, S. E. Optimal observer motion for bearings-only localization and tracking. Ph.D. dissertation, University of Rhode Island, Kingston, 1988.
33. Chang, C. B. Ballistic trajectory estimation with angle-only measurements. IEEE Transactions on Automatic Control, AC-25, 3 (June 1980), 283-294.
34. Chang, C-B., and Tabaczynski, J. A. Application of state estimation to target tracking. IEEE Transactions on Automatic Control, AC-29, 2 (Feb. 1984), 283-294.
35. Nardone, S. C., Lindren, A. G., and Gong, K. F. Fundamental properties and performance of conventional bearings-only target motion analysis. IEEE Transactions on Automatic Control, AC-29, 9 (Sept. 1984), 775-787.
36. Song, T. L. Observability of target tracking with bearings-only measurements. IEEE Transactions on Aerospace and Electronic Systems, 32, 4 (Oct. 1996), 1468-1472.
37. Tuckness, D. G., and Young, S-Y. Autonomous navigation for lunar transfer. Journal of Spacecraft and Rockets, 32, 2 (Mar.-Apr. 1995), 770-784.
38. Sun, D., and Crassidis, J. L. Observability analysis of six-degree-of-freedom configuration determination using vector observations. Journal of Guidance, Control, and Dynamics, 25, 6 (Nov.-Dec. 2002), 1149-1157.
39. Yim, J. R. Autonomous spacecraft orbit navigation. Ph.D. dissertation, Texas A&M University, College Station, Dec. 2002.
40. Yim, J. R., Crassidis, J. L., and Junkins, J. L. Autonomous orbit navigation of two spacecraft system using relative line of sight vector measurements. AAS, Paper AAS 04-257, published by American Astronautical Society, 2004.
41. Chari, R. J. V. Autonomous orbital rendezvous using angles-only navigation. Master's thesis, Massachusetts Institute of Technology, Cambridge, May 2001.
42. Chari, R. J. V., Geller, D. K., Norris, H. L., D'Souza, C. N., and Brand, T. J. Autonomous orbital rendezvous using angles-only navigation. Presented at the AAS/AIAA Astrodynamics Specialists Conference, The Charles Stark Draper Laboratory, Quebec City, Quebec, July 30-Aug. 2, 2001.
43. Clohessy, W. H., and Wiltshire, R. Terminal guidance system for satellite rendezvous. Journal of the Aero/Space Sciences, 27 (1960), 653-658.
44. Yamanaka, K., and Ankersen, F. New state transition matrix for relative motion on an arbitrary elliptical orbit. Journal of Guidance, Control, and Dynamics, 25, 1 (Jan.-Feb. 2002), 60-66.
45. Broucke, R. A. Solution of the elliptic rendezvous problem with the time as independent variable. Journal of Guidance, Control, and Dynamics, 26, 4 (July-Aug. 2003), 615-621.
46. Schneider, A. M., Prussing, J. E., and Timin, M. E. A manual method for space rendezvous navigation and guidance. Journal of Spacecraft and Rockets, 6, 9 (Sept. 1969), 998-1006.
47. Fehse, W. Automated Rendezvous and Docking of Spacecraft. New York: Cambridge University Press, 2003, ch. 3.3.3, 58-72.