Optimizing the receiver maneuvers for bearings-only tracking

Automatica

Volumn 35, Issue 4, 1999, Pages 591-606

  Le Cadre, J P ^a   Laurent Michel, S ^b,c  

^a CAMPUS DE BEAULIEU   (France)

^b TELECOM PARISTECH   (France)

^c NONE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BANG BANG CONTROL SYSTEMS; DYNAMIC PROGRAMMING; MATRIX ALGEBRA; MAXIMUM LIKELIHOOD ESTIMATION; OPTIMAL CONTROL SYSTEMS; POLYNOMIALS; POSITION CONTROL; VECTORS;

BEARINGS ONLY TRACKING; FISHER INFORMATION MATRIX; MANEUVER DIVERSITY; TARGET TRACKING;

OPTIMIZATION;

EID: 0033115401     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(98)00183-6     Document Type: Article

References (29)

1. Aidala, V. J., & Hammel, S. E. (1983). Utilization of modified polar coordinates for bearings-only tracking. IEEE Trans. Automat Control, AC-28, 283-294.
2. Atwood, C. L. (1973). Sequences converging to D-optimal designs of experiments. Ann Statist., 1(2), 342-352.
3. Barniv, Y. (1985). Dynamic programming solution for detecting dim moving targets. IEEE Trans. Aerospace Electron. Systems, AES-21(1).
4. Blom, H. A. P., & Bar Shalom, Y. (1988). The interacting multiple model algorithm with Markovian switching coefficients. IEEE Trans. Automat. Control, AC-33(8), 780-783.
5. Chang, C. B., & Tabaczinski, J. A. (1984). Application of state estimation to target tracking. IEEE Trans. Automat. Control, AC-29(2), 98-109.
6. Darling, R. W. R. Differential Forms and Connection. Cambridge, UK: Cambridge University Press. 1994.
7. Fawcett, J. A. (1988). Effects of course maneuvers on bearings-only range estimation. IEEE Trans. Acoust. Speech Signal Process. 36(8), 1193-1199.
8. Hammel, S. E. (1988). Optimal Observer Motion for Bearings-only Localization and Tracking, Ph.D. thesis, University of Rhode Island.
9. Hammel, S. E., Liu. P. T., Hilliard, E. J., & Gong, K. F. (1989). Optimal observer motion for localization with bearings measurements. Comput. Math. Appl. 18 (1-3), 171-186.
10. Helferty, J. P., & Mudgett, D. R. (1993). Optimal observer trajectories for bearings-only tracking by minimizing the trace of the Cramel-Rao bound. Proc. 32nd Conf. on Decision and Control (pp. 936-939). San-Antonio. TX, December.
11. Hocking, L. M. (1997). Optimal Control. An Introduction to the Theory with Applications. Oxford Applied Math. Series.
12. Holtsberg, A. (1994). A Statistical Analysis of Bearings-only Tracking, Ph.D. thesis, Department of Math. Statistics, Lund Institute of Technology.
13. Jauffret, C., & Musso, C. (1991). New results in target motion analysis. UDT Conf. (pp. 239-244). Paris, 23-25 April.
14. Kershaw, D. J., Evans, R. J. (1994). Optimal waveform selection for tracking systems. IEEE Trans. Inform. Theory, IT-40(4), 1536-1551.
15. Lancaster, P., & Tismenetsky, M. (1985). The Theory of Matrices (2nd Ed.) New York: Academic Press.
16. Le Cadre, J. P., & Jauffret, C. (1997). Discrete-time observability and estimability analysis for bearings-only target motion analysis. IEEE Trans. Aerospace Electron. Systems, AES-33(1). 178-201.
17. Le Cadre, J. P., & Trémois, O. (1997). The matrix dynamic programming property and its implications. SIAM J. Matrix Anal. 18(4), 818-826.
18. Liu, P. T. (1988). An optimum approach in target tracking with bearings measurements. J. Optim. Theory Appl. 56(2), 205-214.
19. Mc Cabe, B. J. (1985). Accuracy and tactical implications of bearings-only ranging algorithms. Oper. Res., 33(1), 94-108.
20. Nardone, S. C., & Aidala, V. J. (1981). Observability criteria for bearings-only target motion analysis. IEEE Trans. Aerospace Electron. Systems, AES-17 (2) 162-166.
21. Nardone, S., Lindgren, A., & Gong, K. (1984). Fundamental properties and performance of conventional bearings-only target motion analysis. IEEE Trans. Automat. Control, AC-29(9), 775-787.
22. Olsder, G. J. (1984). On the optimal manoeuvering during bearings-only tracking. Proc. 23rd Conf. on Decision and Control (pp. 935-940). Las Vegas, NV, December.
23. Passerieux, J. M., & Van Cappel, D. (1998). Optimal observer maneuver for bearings-only tracking. IEEE Trans. Aerospace Electron. Systems, 34(3), 777-789.
24. Passerieux, J. M., & Van Cappel, D. (1991). Manoeuvre optimale en trajectographie passive a partir d'azimuts, Actes du 13-ème Colloque Gretsi (pp. 285-288). Juan-les-Pins, September.
25. Sussmann, H. J. (1979). A bang-bang theorem with bounds on the number of switchings. SIAM J. Control Optim. 17(5), 629-651.
26. Teo, K. L., Goh, C. J., & Wong, K. H. (1991). A Unified Computational Approach to Optimal Control Problem, Pitman Series in Pure and Applied Math., Longman Scientific and Technical.
27. Trémois, O., & Cadre, J. P. (1996). Target motion analysis with multiple arrays: Performance analysis. IEEE Trans. Aerospace Electron. Systems, AES-32(3), 1030-1045.
28. Whittle, P. (1973). Some general points in the theory of optimal experimental design, J. Roy. Statist. Soc. Ser. B, 35, 123-130.
29. Yokonuma, T. (1992). Tensor spaces and exterior algebra. Transl, of Math. Monographs (Vol. 108), American Mathematical Society, Providence, RI.