Survey of Maneuvering Target Tracking. Part II: Motion Models of Ballistic and Space Targets

IEEE Transactions on Aerospace and Electronic Systems

Volumn 46, Issue 1, 2010, Pages 96-119

  Li, X Rong ^a   Jilkov, Vesselin P ^a  

^a UNO College of Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85008063716     PISSN: 00189251     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAES.2010.5417150     Document Type: Article

References (103)

1. Ali, A., and Sartuk, K. Development of a satellite borne tactical ballistic missile trajectory prediction tool. In Proceedings of the 2003 International Conference on Recent Advances in Space Technologies, Nov. 2003, 601–604.
2. Athans, M., Whiting, R. H., and Gruber, M. A suboptimal estimation algorithm with probabilistic editing for false measurements with applications to target tracking with wake phenomena. IEEE Transactions on Automatic Control, AC-22 (June 1977), 372–384.
3. Athans, M., Wishner, R. P., and Bertolini, A. Suboptimal state estimation for continuous-time nonlinear systems from discrete noisy measurements. IEEE Transactions on Automatic Control, AC-13 (Oct. 1968), 504–514.
4. Bar-Shalom, Y., and Li, X. R. Estimation and Tracking: Principles, Techniques, and Software. Boston: Artech House, 1993. Reprinted by YBS Publishing, 1998.
5. Bar-Shalom, Y., and Li, X. R. Multitarget-Multisensor Tracking: Principles and Techniques. Storrs, CT: YBS Publishing, 1995.
6. Bar-Shalom, Y., Li, X. R., and Kirubarajan, T. Estimation with Applications to Tracking and Navigation: Theory, Algorithms, and Software. New York: Wiley, 2001.
7. Bate, R. R., Mueller, D. D., and White, J. E. Fundamentals of Astrodynamics. Mineola, NY: Dover, 1971.
8. Blackman, S. S. Multiple Target Tracking with Radar Applications. Norwood, MA: Artech House, 1986.
9. Blackman, S. S., and Popoli, R. F. Design and Analysis of Modern Tracking Systems. Norwood, MA: Artech House, 1999.
10. Blom, H. A. P., and Bar-Shalom, Y. The interacting multiple model algorithm for systems with Markovian switching coefficients. IEEE Transactions on Automatic Control, 33, 8 (Aug. 1988), 780–783.
11. Brookner, E. Tracking and Kalman Filtering Made Easy. New York: Wiley, 1989.
12. Cardillo, G. P., Mrstik, A. V., and Plambeck, T. A track filter for reentry objects with uncertain drag. IEEE Transactions on Aerospace and Electronic Systems, 35, 2 (Apr. 1999), 395–409.
13. Chadwick, W. R., and Zarchan, P. Interception of spiraling ballistic missiles. In Proceedings of the 1995 American Control Conference, Seattle, WA, June 1995, 4476–4483.
14. Chan, Y. T., Hu, A. G. C., and Plant, J. B. A Kalman filter based tracking scheme with input estimation. IEEE Transactions on Aerospace and Electronic Systems, AES-15, 2 (Mar. 1979), 237–244.
15. Chang, C. B. Ballistic trajectory estimation with angle only measurements. IEEE Transactions on Automatic Control, AC-25 (June 1980), 474–480.
16. Chang, C. B., and Tabaczynski, J. Application of state estimation to target tracking. IEEE Transactions on Automatic Control, AC-29, 2 (Feb. 1984), 98–109.
17. Chang, C. B., Whiting, R. H., and Athans, M. On the state and parameter estimation for maneuvering reentry vehicles. IEEE Transactions Automatic Control, AC-22, 2 (Feb. 1977), 99–105.
18. Chen, G., Wang, J. R., and Shieh, L. S. Interval Kalman filtering. IEEE Transactions on Aerospace and Electronic Systems, 33, 1 (Jan. 1997), 250–259.
19. Chen, H., Bar-Shalom, Y., Pattipati, K. R., and Kirubarajan, T. MDL approach for multiple low observable track initiation. IEEE Transactions on Aerospace and Electronic Systems, 39, 3 (July 2003), 862–882.
20. Chen, Y., Wen, C., Xu, J-X., and Sun, M. High-order iterative learning identification of projectile's aerodynamic drag coefficient curve from radar measured velocity data. IEEE Transactions on Control Systems Technology, 6, 4 (July 1998), 563–570.
21. Conover, S., Kerce, J. C., Brown, G., Ehrman, L., and Hardiman, D. Impact point prediction of small ballistic munitions with an interacting multiple model estimator. In Proceedings of SPIE Conference on Acquisition, Tracking, Pointing, and Laser Systems Technologies XXI, vol. 6569, Orlando, FL, Apr. 2007.
22. Cooperman, R. L. Tactical ballistic missile tracking using the interacting multiple model algorithm. In Proceedings of the 2002 International Conference on Information Fusion, Annapolis, MD, July 2002, 824–831.
23. Costa, P. J. Adaptive model architecture and extended Kalman-Bucy filters. IEEE Transactions on Aerospace and Electronic Systems, 30, 2 (Apr. 1994), 525–533.
24. Crosson, E. L., Romine, J. B., and Willner, D. Boost-phase acceleration estimation. In Proceedings of the IEEE International Radar Conference, 2000, 210–214.
25. Danis, N. J. Space-based tactical ballistic missile launch parameter estimation. IEEE Transactions on Aerospace and Electronic Systems, 29, 2 (Apr. 1993), 412–424.
26. Daum, F. E., and Fitzgerald, R. J. Decoupled Kalman filters for phased array radar tracking. IEEE Transactions on Automatic Control, AC-28 (Mar. 1983), 269–282.
27. Davies, M. (Ed.) The Standard Handbook for Aeronautical and Astronautical Engineers. Columbus, OH: McGraw-Hill, 2003.
28. Easthope, P. F. Using TOTS for more accurate and responsive multi-sensor, end-to-end ballistic missile tracking. In Proceedings of SPIE Conference on Signal and Data Processing of Small Targets 2000, vol. 4048, Apr. 2000.
29. Easthope, P. F., and Heyes, N. W. Multiple-model target-oriented tracking system. In Proceedings of SPIE Conference on Signal and Data Processing of Small Targets 1994, vol. 2235, Apr. 1994.
30. Farina, A., Benvenuti, D., and Ristic, B. Estimation accuracy of a landing point of a ballistic target. In Proceedings of the 2002 International Conference on Information Fusion, Annapolis, MD, July 2002, 2–9.
31. Farina, A., Del Gaudio, M. G., D'Elia, U., Immediata, S., Ortenzi, L., Timmoneri, L., and Toma, M. F. Detection and tracking of ballistic target. In Proceedings of the 2004 IEEE International Radar Conference, Apr. 2004, 450–456.
32. Farina, A., Ristic, B., and Benvenuti, D. Tracking a ballistic target: Comparison of several filters. IEEE Transactions on Aerospace and Electronic Systems, 38, 3 (2002), 1916–1924.
33. d< 1 and its application to target tracking. IEEE Transactions of Signal Processing, 50, 8 (Aug. 1916–1924).
34. Fitzgerald, R. J. On reentry vehicle tracking in various coordinate systems IEEE Transactions on Automatic Control, AC-19 (July 1974), 581–582.
35. Foster, G. J., Petruzzo, J. J., and Phan, T. N. Track filtering of boosting targets. In Proceedings of the 35th Southeastern Symposium on System Theory, Mar. 2003, 450–454.
36. Fowler, J. L. Boost and post-boost target state estimation with angles-only measurements in a dynamic spherical coordinate system. In Proceedings of the AAS/AIAA Astrodynamics Conference, Aug. 19–21, 1991, 41–54.
37. Gallais, P. Atmospheric Re-Entry Vehicle Mechanics. New York: Springer, 2007.
38. Gelb, A. (Ed.) Applied Optimal Estimation. Cambridge, MA: MIT Press, 1974.
39. Gorecki, F. D., and Piehler, M. J. Comparative results for a special class of robust nonlinear tracking algorithms. Journal of Guidance, 12, 3 (May–June 1989), 289–296.
40. Gray, J. E., and Smith-Carroll, A. S. On the usage of derived quantities in tracking: Energy and other estimators. In Proceedings of the 2002 IEEE Aerospace Conference, Mar. 2002, 4-1571-4-1580.
41. Hardiman, D. F., Kerce, J. C., and Brown, G. C. Nonlinear estimation techniques for impact point prediction of ballistic targets. In Proceedings of 2006 SPIE Conference on Signal and Data Processing of Small Targets, vol. 6236, Orlando, FL, 2006, 62360C.
42. d< 1. Transactions on Signal Processing, 52, 9 (Sept. 2004), 2361–2370.
43. Hough, M., Baum, F., and Huang, J. Nonlinear recursive estimation of boost trajectories, including batch initialization and burnout estimation. Presented at the AIAA/AAS Astrodynamics Specialist Conference and Exhibit, Providence, RI, Aug. 16–19, 2004.
44. Hough, M. E. Improved performance of recursive tracking filters using batch initialization and process noise adaptation. AIAA Journal of Guidance, Control, and Dynamics, 22, 5 (1999), 675–681.
45. Hough, M. E. Optimal guidance and nonlinear estimation for interception of accelerating targets. AIAA Journal of Guidance, Control, and Dynamics, 18, 5 (1995), 958–968.
46. Hough, M. E. Optimal guidance and nonlinear estimation for interception of decelerating targets. AIAA Journal of Guidance, Control, and Dynamics, 18, 2 (1995), 316–324.
47. Hough, M. E. Nonlinear recursive filter for boost trajectories. AIAA Journal of Guidance, Control, and Dynamics, 24, 5 (2001), 991–997.
48. Hutchins, R. G., and Pace, P. E. Studies in trajectory tracking and launch point determination for ballistic missile defense. In Proceedings of 2006 SPIE Conference on Signal and Data Processing of Small Targets, vol. 6236, Orlando, FL, 2006, 62360Y.
49. Hutchins, R. G., and San Jose, A. IMM tracking of a theater ballistic missile during boost phase. In Proceedings of 1998 SPIE Conference on Signal and Data Processing of Small Targets, vol. 3373, 1998, 528–531.
50. Hutchins, R. G., and San Jose, A. Trajectory tracking and backfitting techniques against theater ballistic missiles. In Proceedings of 1999 SPIE Conference on Signal and Data Processing of Small Targets, vol. 3809, 1999, 522–526.
51. Jazwinski, A. H. Stochastic Processes and Filtering Theory. New York: Academic Press, 1970.
52. Jilkov, V. P., Li, X. R., and Ru, J. Modeling ballistic target motion during boost for tracking. In Proceedings of 2007 SPIE Conference on Signal and Data Processing of Small Targets, vol. 6699, San Diego, CA, Aug. 2007, 669909-1-669909-12.
53. Kameda, H., Tsujimichi, S., and Kosuge, Y. Target tracking for maneuvering reentry vehicles using multiple maneuvering models. In Proceedings of the 36th SICE (Society of Instrument and Control Engineers) Annual Conference, Japan, 1997, 1031–1036.
54. Keil, K-H. Generic case study: Evaluation of early warning satellites cueing radars against TBM. In Proceedings of 1999 SPIE Conference on Signal and Data Processing of Small Targets, vol. 3809, Denver, CO, July 1999, 297–307.
55. Kerr, T. H. Streamlining measurement iteration for EKF target tracking. IEEE Transactions of Aerospace and Electronic Systems, 27, 2 (Mar. 1991), 408–421.
56. Lawton, J. A., Jesionowski, R. J., and Zarchan, P. Comparison of four filtering options for a radar tracking problem. AIAA Journal of Guidance, Control, and Dynamics, 21, 4 (July–Aug. 1998), 618–623.
57. Lee, S-C., and Liu, C-Y. Trajectory estimation of reentry vehicle by use of on-line input estimator. Journal of Guidance, Control, and Dynamics, 22, 6 (1999).
58. Li, X. R. Hybrid estimation techniques. In C. T. Leondes (Ed.), Control and Dynamic Systems: Advances in Theory and Applications, vol. 76, New York: Academic Press, 1996, 213–287.
59. Li, X. R. Engineer's guide to variable-structure multiple-model estimation for tracking. In Y. Bar-Shalom and W. D. Blair (Eds.), Multitarget-Multisensor Tracking: Applications and Advances, vol. III., Boston, MA: Artech House, 2000, ch. 10, 499–567.
60. Li, X. R., and Bar-Shalom, Y. A recursive multiple model approach to noise identification. IEEE Transactions of Aerospace and Electronic Systems, 30, 3 (July 1994), 671–684.
61. Li, X. R., and Jilkov, V. P. A survey of maneuvering target tracking—Part II: Ballistic target models. In Proceedings of 2001 SPIE Conference on Signal and Data Processing of Small Targets, vol. 4473, San Diego, CA, July–Aug. 2001, 559–581.
62. Li, X. R., and Jilkov, V. P. A survey of maneuvering target tracking—Part III: Measurement models. In Proceedings of 2001 SPIE Conference on Signal and Data Processing of Small Targets, vol. 4473, San Diego, CA, July–Aug. 2001, 423–446.
63. Li, X. R., and Jilkov, V. P. A survey of maneuvering target tracking—Part IV: Decision-based methods. In Proceedings of 2002 SPIE Conference on Signal and Data Processing of Small Targets, vol. 4728, Orlando, FL, Apr. 2002, 511–534.
64. Li, X. R., and Jilkov, V. P. A survey of maneuvering targets tracking. Part I: Dynamic models. IEEE Transactions on Aerospace and Electronic Systems, 39, 4 (Oct. 2003), 1333–1364.
65. Li, X. R., and Jilkov, V. P. A survey of maneuvering target tracking—Approximation techniques for nonlinear filtering. In Proceedings of 2004 SPIE Conference on Signal and Data Processing of Small Targets, vol. 5428, Orlando, FL, Apr. 2004.
66. Li, X. R., and Jilkov, V. P. Survey of maneuvering target tracking. Part V: Multiple-model methods. IEEE Transactions on Aerospace and Electronic Systems, 41, 4 (Oct. 2005), 1255–1321.
67. Li, Y., Kirubarajan, T., Bar-Shalom, Y., and Yeddanapudi, M. Trajectory and launch point estimation for ballistic missiles from boost phase LOS measurements. In Proceedings of the 1999 IEEE Aerospace Conference, Snowmass at Aspen, CO, Mar. 1999, 425–442.
68. Mazor, E., Averbuch, A., Bar-Shalom, Y., and Dayan, J. Interacting multiple model methods in target tracking: A survey. IEEE Transactions on Aerospace and Electronic Systems, 34, 1 (1998), 103–123.
69. McCoy, R. L. Modern Exterior Ballistics: The Launch and Flight Dynamics of Symmetric Projectiles. Atglen, PA: Schiffer, 1999.
70. Mehra, R. K. A comparison of several nonlinear filters for reentry vehicle tracking. IEEE Transactions on Automatic Control, AC-16 (Aug. 1971), 307–319.
71. Mehra, R. K. Approaches to adaptive filtering. IEEE Transactions on Automatic Control, AC-17, 5 (Oct. 1972), 693–698.
72. Miele, A. Flight Addison-Wesley, Mechanics: Theory of Flight Paths, vol. 1. Reading, MA: 1962.
73. Miller, M., Drummond, O., and Perrella, A. Multiple-model filters for boost-to-coast transition of theater ballistic missiles. In Proceedings of SPIE Conference on Signal and Data Processing of Small Targets, 1998, SPIE, vol. 3373, 1998, 355–376.
74. Minvielle, P. Tracking a ballistic re-entry vehicle with a sequential Monte-Carlo filter. In Proceedings of the 2002 IEEE Aerospace Conference, Mar. 2002, 4-1773-4-1787.
75. Moore, J. R., and Blair, W. D. Practical aspects of multisensor tracking. In Y. Bar-Shalom and W. D. Blair (Eds.), Multitarget-Multisensor Tracking: Applications and Advances, vol. III, Norwood, MA: Artech House, 2000, 1–76.
76. Morrison, N. Introduction to Sequential Smoothing and Prediction. New York: McGraw-Hill, 1969.
77. Petruzzo, J. J., and Foster, G. J. Combined tracking and threat typing algorithm for boosting missiles. In Proceedings of 2003 SPIE Conference on Signal and Data Processing of Small Targets, vol. 5204, 2003, 86–96.
78. Ravindra, V. C., Bar-Shalom, Y., and Willett, P. Projectile identification and impact point prediction. IEEE Transactions on Aerospace and Electronic Systems, to be published.
79. Ravindra, V. C., Bar-Shalom, Y., and Willett, P. Impact point prediction and projectile identification. In Proceedings of 2007 SPIE Conference on Signal and Data Processing of Small Targets, vol. 6699, San Diego, CA, Aug. 2007, 66991A-1-66991A-12.
80. Regan, F. J., and Anandakrishnan, S. M. Dynamics of Atmospheric Re-Entry. AIAA, New York, 1993.
81. Register, A. H., Blair, W. D., and Brown, G. Improved radar revisit time control to observe ballistic missile mode transitions. In Proceedings of the 34th Southeastern Simposium on System Theory, Huntsville, AL, Mar. 2002, 349–353.
82. Ristic, B., Arulampalam, S., and Gordon, N. Beyond the Kalman Filter. Particle Filters for Tracking Applications. Norwood, MA: Artech House, 2004.
83. Ristic, B., Farina, A., Benvenuti, D., and Arulampalam, M. Performance bounds and comparison of nonlinear filters for tracking a ballistic object on re-entry. IEE Proceedings on Radar Sonar Navigation, 150, 2 (Apr. 2003), 65–70.
84. Roecker, J. A. Track monitoring when tracking with multiple 2-D passive sensors. IEEE Transactions on Aerospace and Electronic Systems, 27, 6 (1991), 872–875.
85. Rudd, J. G., March, R. A., and Roecker, J. A. Surveillance and tracking of ballistic missile launches. IBM Journal of Research and Development, 38, 2 (Mar. 1994), 195–216.
86. Saulson, B. G., and Chang, K. C. Nonlinear estimation comparison for ballistic missile tracking. Optical Engineering, 43 (2004), 1424–1438.
87. Sioris, G. M., Chen, G., and Wang, J. Tracking an incoming ballistic missile using an extended interval Kalman filter. IEEE Transactions on Aerospace and Electronic Systems, 33, 1 (Jan. 1997), 232–240.
88. Sivananthan, S., Kirubarajan, T., and Bar-Shalom, Y. Radar power multiplier for acquisition of low observables using an ESA radar. IEEE Transactions on Aerospace and Electronic Systems, 37, 2 (Apr. 2001), 401–418.
89. Sorenson, H. W. Kalman filtering techniques. In C. T. Leondes (Ed.), Advances in Control Systems Theory and Applications, vol. 3, New York: Academic Press, 1966, 219–292.
90. Sorenson, H. W. (Ed.) Kalman Filtering: theory and Application. Los Alamitos, CA: IEEE Press, 1985, 90–126.
91. Sviestins, E. Multi-radar tracking for theater misisile defence. In Proceedings of 1995 SPIE Conference on Signal and Data Processing of Small Targets, vol. 2561, San Diego, CA, July 1995, 384–394.
92. Tewari, A. Atmospheric and Space Slight Dynamics: Modeling and Simulation with MATLAB and Simulink. Boston: Birkhuser, 2006.
93. Tsai, M. J., and Rogal, F. A. Angle-only tracking and prediction of boost vehicle position. In Proceedings of SPIE on Signal and Data Processing for Small Targets, vol. 1481, 1991.
94. Vinh, N. X. Hypersonic and Planetary Entry Mechanics. Ann Arbor, MI: The University of Michigan Press, 1980.
95. Wishner, R. P., Larson, R. E., and Athans, M. Status of radar tracking algorithms. In Proceedings of the Symposium of Nonlinear Estimation, San Diego, CA, Sept. 1970.
96. Woods, E., and Queeney, T. Multisensor detection and tracking of tactical ballistic missiles using knowledge-based state estimation. In Proceedings of SPIE Signal Processing, Sensor Fusion, and Target Recognition III, vol. 2232, 1994.
97. Yeddanapudi, M., and Bar-Shalom, Y. Trajectory prediction for missiles based on boost-phase LOS measurements. In Proceedings of 1997 SPIE Conference on Signal and Data Processing of Small Targets, vol. 3163, July 1997, 316–328.
98. Yeddanapudi, M., Bar-Shalom, Y., Pattipati, Y., and Deb, S. Ballistic missile track initiation from satellite observations. IEEE Transactions on Aerospace and Electronic Systems, 31, 3 (July 1995), 1054–1071.
99. Van Zandt, J. R. Boost phase tracking with an unscented filter. In Proceedings of 2002 SPIE Conference on Signal and Data Processing of Small Targets, vol. 4728, Orlando, FL, Apr. 2002, 263–274.
100. Archan, P. Tracking and intercepting spiraling ballistic missiles. In Proceedings of the 2000 IEEE Position Location and Navigation Symposium, San Diego, CA, Mar. 2000, 277–284.
101. Archan, P. Tactical and Strategic Missile Guidance, vol. 199 of Progress in Astronautics and Aeronautics (4th ed.). AIAA, Reston, VA:, 2002.
102. Zhao, Z-L., Chen, H., Chen, G., Kwan, C-M., and Li, X. R. Comparision of several ballistic target tracking filters. Presented at the American Control Conference 2006, June 14–16, 2006.
103. Zhao, Z-L., Chen, H., Chen, G., Kwan, C-M., and Li, X. R. IMM-LMMSE filtering algorithm for ballistic target tracking with unknown ballistic coefficient. In Proceedings of 2006 SPIE Conference on Signal and Data Processing of Small Targets, vol. 6236, Apr. 2006, 62360K.