Discrete-time observability and estimability analysis for bearings-only target motion analysis

IEEE Transactions on Aerospace and Electronic Systems

Volumn 33, Issue 1, 1997, Pages 178-201

  Cadre, J E L E ^a   Jauffret, C ^a  

^a ISITV   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; CONTROL THEORY; DISCRETE TIME CONTROL SYSTEMS; LINEAR ALGEBRA; MATRIX ALGEBRA; OPTIMAL CONTROL SYSTEMS; OPTIMIZATION; PIECEWISE LINEAR TECHNIQUES; TIME VARYING SYSTEMS;

FISHER INFORMATION MATRIX; LINEAR TIME VARYING SYSTEM; MULTILINEAR ALGEBRA; PIECEWISE CONSTANT LINEAR SYSTEM; TARGET MOTION ANALYSIS;

OBSERVABILITY;

EID: 0030785173     PISSN: 00189251     EISSN: None     Source Type: Journal    
DOI: 10.1109/7.570737     Document Type: Article

References (44)

1. Nardone, S., Lindgren, A., and Gong, K. (1984) Fundamental properties and performance of conventional bearings-only target motion analysis. IEEE Transactions on Automatic Control, AC-29, 9 (Sept. 1984), 775-787.
2. Lindgren, A., and Gong, K. (1978) Position and velocity estimation via bearing observation. IEEE Transactions on Aerospace and Electronic Systems, AES-14 (July 1978), 564-577.
3. Kolb, R. C, and Hollister, F. H. (1967) Bearings-only target motion estimation. In Proceedings of (he IstAsilomar Conference on Circuits Systems, 1967.
4. Pham, D. T. (1993) Some quick and efficient methods for bearings-only target motion analysis. IEEE Transactions on Signal Processing, 41, 9 (Sept. 1993), 2737-2751.
5. Aidala, V. J., and Hammel, S. E. (1983) Utilization of modified polar coordinates for bearings-only tracking. IEEE Transactions on Automatic Control, AC-28 (Mar. 1983), 283-294.
6. Chan, Y. T., and Rudnicki, S. W. (1992) Bearings-only and Doppler-bearing tracking using instrumental variables. IEEE Transactions on Aerospace and Electronic Systems, 28, 24 (Oct. 1992), 1076-1083.
7. Passerieux, J. M., Pillon, D., Blanc-Benon, P., and Jauffret, C. (1989) Target motion analysis with bearings and frequencies measurements via instrumental variable estimator. In Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing, Glasgow, Scotland, UK, May 1989, 2645-2648.
8. de Vlieger, J. H., and Gmelig Meyling, R. H. J. (1992) Maximum likelihood estimation for long-range target tracking using passive sonar measurements. IEEE Transactions on Signal Processing, 40, 5 (May 1992), 1216-1225.
9. Nardone, S. C., and Aidala, V. J. (1981) Observability criteria for bearings-only target motion analysis. IEEE Transactions on Aerospace and Electronic Systems, AES-17, 2 (Mar. 1981), 162-166.
10. Hammel, S. E., and Aidala, V. J. (1985) Observability requirements for three-dimensional tracking via angle measurements. IEEE Transactions on Aerospace and Electronic Systems, AES-21, 2 (Mar. 1985), 200-207.
11. Payne, A. N. (1989) Observability problem for bearings-only tracking. International Journal of Control, 49, 3 (1989), 761-768.
12. Jauffret, C., and Pillon, D. (1988) New observability criterion in target motion analysis. NatoAsi, Kingston, Canada, July 1988, 479-484.
13. Jauffret, C. (1993) Trajectographie passive, observabilité et prise en compte de fausses alarmes. Ph.D. dissertation, Université de Toulon et du Var, Feb. 18, 1993.
14. Fogel, E., and Gavish, M. (1988) Nth-order dynamics target observability from angle measurements. IEEE Transactions on Aerospace and Electronic Systems, 24 (May 1988), 305-308.
15. Becker, K. (1993) Simple linear theory approach to TMA observability. IEEE Transactions on Aerospace and Electronic Systems, 29, 2 (Apr. 1993), 575-578.
16. Hermann, R., and Krener, A. J. (1977) Nonlinear controllability and observability. IEEE Transactions on Automatic Control, AC-22, 5 (Oct. 1977), 728-739.
17. Lévine, J., and Marino, R. (1992) Constant-speed target tracking via bearings-only measurements. IEEE Transactions on Aerospace and Electronic Systems, 28, 1 (Jan. 1992), 175-182.
18. Goshen-Meskin, D., and Bar-Itzhack, I. Y. (1992) Observability analysis of piece-wise constant system-Part I: Theory. IEEE Transactions on Aerospace and Electronic Systems, 28, 4 (Oct. 1992), 1056-1067.
19. Horn, R. A., and Johnson, C. R. (1987) Matrix Analysis. New York: Cambridge University Press, 1987.
20. Rugh, W. J. (1993) Linear System Theory. Englewood Cliffs, NJ: Prentice-Hall, Information and System Science Series, 1993.
21. Neuman, P. M., Stoy, G. A., and Thompson, E. C. (1994) Groups and Geometry, New York: Oxford, 1994.
22. Trémois, O., and Le Cadre, J. P. (1996) Target motion analysis with multiple arrays: Performance analysis. IEEE Transactions on Aerospace and Electronic Systems, 32, 3 (July 1996), 1030-1046.
23. Lang, S. (1993) Algebra (3rd edition). Reading, MA: Addison-Wesley, 1993.
24. Satake, I. (1975) Linear Algebra. New York: Marcel Dekker, 1975.
25. Wonham, W. M. (1985) Linear Multivariable Control: A Geometrical Approach (3rd ed.). New York: Springer-Verlag, 1985.
26. Ji, Y, and Chizek, H. J. (1988) Controllability, observability and discrete-time Markovian jump linear quadratic control. International Journal of J. Control, 48, 2 (1988), 481-498.
27. Le Cadre, J. P., and Trémois, O. (1996) Properties and performance of extended target motion analysis. IEEE Transactions on Aerospace and Electronic Systems, 32, 1 (Jan. 1996), 66-83.
28. Liu, P. T. (1988) An optimum approach in target tracking with bearing measurements. Journal of Optimization Theory and Applications, 56, 2 (Feb. 1988), 205-214.
29. Hammel, S. E., Liu, P. T., Hilliard, E. J., and Gong, K. E (1989) Optimal observer motion for localization with bearings measurements. Computer and Mathematics with Applications, 18, 1-3 (1989), 171-186.
30. Passerieux, J. M., and Van Cappel, D. (1996) Optimal observer maneuver for bearings-only tracking. IEEE Transactions on Aerospace and Electronic Systems, to be published.
31. McCabe, B. J. (1985) Accuracy and tactical implications of bearings-only ranging algorithms. Operations Research, 33, 1 (Jan.-Feb. 1985), 94-108.
32. Fawcett, J. A. (1988) Effect of course maneuvers on bearings-only range estimation. IEEE Transactions on Acoustics, Speech and Signal Processing, 36, 8 (Aug. 1988), 1193-1199.
33. Chatelin, F. (1988) Valeurs Propres de Matrices. Paris: Masson, 1988.
34. Helferty, J. P., and Mudgett, D. R. (1993) Optimal observer trajectories for bearings-only tracking by minimizing the trace of the Cramer-Rao bound. In Proceedings of the 32nd Conference on Decision and Control, San-Antonio, IX, Dec. 1993, 936-939.
35. Ucinski, D., Korbicz, J., and Zaremba, M. (1993) On optimization of sensor motions in parameter identification of two-dimensional distributed systems. In Proceedings of the ECC'93, Grenoble, France, 1993, 1359-1364.
36. Jauffret, C. G., and Musso, C. J. (1991) New results in target motion analysis. In Proceedings of the Undersea Defense Technology (UDT) Conference, Paris, 1991, 239-244.
37. Giri, N. C. (1977) Multivariate Statistical Inference. New York: Academic Press, 1977.
38. Marshall, A. W., and Olkin, I. (1979) Inequalities: Theory of majorization and its applications. In Mathematics in Science and Engineering, vol. 143. New York: Academic Press, 1979.
39. Carlson, D. (1983) Minimax and interlacing theorems for matrices. Linear Algebra and its Applications, 54 (1983), 153-172.
40. Merikoski, J. K., Styan, G. P. H., and Wolkowicz, H. (1983) Bounds for ratios of eigenvalues using traces. Linear Algebra and Its Applications, 55 (1983), 105-124.
41. Le Cadre, J. P., and Trémois, O. (1995) Optimization of the observer motion using dynamic programming. In Proceedings of the 1995 International Conference on Acoustics, Speech, and Signal Processing, Detroit, May 9-12, 1995.
42. Bertsekas, D. P. (1987) Dynamic Programming: Deterministic and Stochastic Models. Englewood Cliffs, NJ: Prentice-Hall, 1987.
43. Boguslavskij, I. A. (1988) Filtering and Control. New York: Optimization Software (Publication Division), 1988.
44. Baram, Y, and Kailath, T. (1988) Estimability and regulability of linear systems. IEEE Transactions on Automatic Control, 33, 12 (Dec. 1988), 1116-1121.