Analysis of three-dimensional optimal evasion with linearized kinematics

Journal of Guidance, Control, and Dynamics

Volumn 2, Issue 5, 1979, Pages 353-360

  Shinar, J ^a,b   Rotsztein, Y ^a   Bezner, E ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^b Dept of Aeronautical Engineering ^*  (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEMS, OPTIMAL; CONTROL, MECHANICAL VARIABLES - POSITION;

ROCKETS AND MISSILES;

EID: 0018521946     PISSN: 07315090     EISSN: None     Source Type: Journal    
DOI: 10.2514/3.55889     Document Type: Article

References (15)

1. Ho, Y.C., Bryson, A.E., and Baron, S., “Differential Games and Optimal Pursuit-Evasion Strategies,” IEEE Transactions of Automatic Control, Vol. AC-10, Oct. 1965, pp. 385-389.
2. Aumasson, C., “Approche de Problem de l’Interception Tridimensionnelle Optimale par la Théorie des Jeux Différentiels Linéaires Quadriatiques,” La Recherche Aérospatiale, No. 1976-6, Sept.-Oct. 1976, pp. 255-266.
3. Gutman, S. and Leitman, G., “Optimal Strategies in the Neighborhood of a Collision Course,” AIAA Journal, Vol. 14, Sept. 1976, pp. 1210-1212.
4. Vachino, R.F., Schaefter, J.F., de Does, D.H., Morgan, B.S. Jr., and Cook, G., “The Application of the Method of Steepest Descent to a Pursuit-Evasion Problem,” AIAA Paper 68-878, 1968.
5. Borg, D.A., “A Study of Optimum Evasive Strategy, the Planar Case for Homing Missile Using Proportional Navigation,” M.Sc. Thesis, Louisiana State University, 1969.
6. Julich, P.M. and Borg, D.A., “Effects of Parameter Variations on the Capability of the Proportional Navigational Missile against an Optimally Evading Target in the Horizontal Plane,” LSU-T-TR-24, AFOSR/70-0085TR, 1970.
7. Slater, G.L. and Wells, W.R., “Optimal Evasive Tactics against a Proportional Navigation Missile with Time Delay,” Journal of Spacecraft and Rockets, Vol. 10, May 1973, pp. 309-313.
8. Steinberg, A., Forte, I., and Shinar, J: “A Qualitative Analysis of Optimal Evasion in 2-D,” Proceedings of the 20th Israeli Annual Conference on Aviation and Astronautics, Feb. 22-23, 1978, p. 111.
9. Gutman, S., “On Optimal Guidance for Homing Missiles,” Proceedings of the 20th Israel Annual Conference on Aviation and Astronautics, Feb. 22-23, 1978, pp. 75-81; also Journal of Guidance and Control, Vol. 2, July-August 1979, pp. 296-300.
10. Shinar, J. and Steiberg, D., “Analysis of Optimal Evasive Maneuvers Based on a Linearized Two-Dimensional Model,” Journal of Aircraft, Vol. 14, Aug. 1977, pp. 795-802.
11. Guelman, M., “A Closed-Form Solution of True Proportional Navigation,” IEEE Transactions on Aerospace and Electronic Systems, Vol. AES-12, July 1976, pp. 472-482.
12. Shinar, J. and Rotsztein, Y., “Similarity Parameters in PursuitEvasion Problems,” Dept, of Aeronautical Engineering, Technion-Israel Institute of Technology, Haifa, Israel, TAE Rept. 336, April 1978.
13. Guelman, M., “On the Divergence of Proportional Navigation Homing System,” Armament Development Authority Israel Ministry of Defense, D.T. 69/35, 1969.
14. Bryson, A.E. Jr., Denham, W.F., and Dreyfuss, S.E., “Optimal Programming Problems with Inequality Constraints. I: Necessary Condition for Extremal Solutions,” AIAA Journal, Vol. 1, Nov. 1963, pp. 2544-2550.
15. Shinar, J. and Blank, D., “A Differential Dynamic Programming Algorithm for Solution of 3-D Optimal Missile Avoidance,” Dept, of Aeronautical Engineering, Technion-Israel Institute of Technology, Haifa, Israel, TAE Rept. 351, Nov. 1978.