Optimal fighter pursuit-evasion maneuvers found via two-sided optimization

Journal of Guidance, Control, and Dynamics

Volumn 29, Issue 1, 2006, Pages 105-112

  Horie, Kazuhiro ^a,b   Conway, Bruce A ^a,b,c  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^b Department of Aerospace Engineering ^*  (United States)

^c AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

GAME THEORY; GENETIC ALGORITHMS; MANEUVERABILITY; NONLINEAR PROGRAMMING; NUMERICAL METHODS; OPTIMAL CONTROL SYSTEMS; OPTIMIZATION;

OPTIMAL FIGHTER AIRCRAFT PURSUIT-EVASION; OPTIMAL TRAJECTORIES;

FIGHTER AIRCRAFT;

EID: 32544437820     PISSN: 07315090     EISSN: 15333884     Source Type: Journal    
DOI: 10.2514/1.3960     Document Type: Review

References (24)

1. Isaacs, R., Games of Pursuit, Rept. P-257, Rand Corp., Santa Monica, CA, Nov. 1951.
2. Bryson, A. E., and Ho, Y. C., Applied Optimal Control, Hemisphere, New York, 1975, pp. 271-293.
3. Isaacs, R., Differential Games, Wiley, New York, 1965, pp. 278-280.
4. Breakwell, J. V., and Merz, A. W., "Minimum Required Capture Radius in a Coplanar Model of the Aerial Combat Problem," AIAA Journal, Vol. 15, No. 8, 1977, pp. 1089-1094.
5. Guelman, M., Shinar, J., and Green, A., "Qualitative Study of a Planar Pursuit Evasion Game in the Atmosphere," Journal of Guidance, Control and Dynamics, Vol. 13, No. 6, 1990, pp. 1136-1142.
6. Hillberg, C., and Järmark, B., "Pursuit-Evasion Between Two Realistic Aircraft," Journal of Guidance, Control, and Dynamics, Vol. 7, No. 6, 1984, pp. 690-694.
7. Järmark, B., Merz, A. W., and Breakwell, J. V., "The Variable Speed Tail-Chase Aerial Combat Problem," Journal of Guidance, Control and Dynamics, Vol. 4, No. 3, 1981, pp. 323-328.
8. Breitner, M. H., Pesch, H. J., and Grimm, W., "Complex Differential Games of Pursuit-Evasion Type with State Constraints, Part 1 : Necessary Conditions for Open-Loop Strategies," Journal of Optimization Theory and Applications, Vol. 78, No. 3, 1993, pp. 419-441.
9. Breitner, M. H., Pesch, H. J., and Grimm, W., "Complex Differential Games of Pursuit-Evasion Type with State Constraints, Part 2: Numerical Computation of Open-Loop Strategies," Journal of Optimization Theory and Applications, Vol. 78, No. 3, 1993, pp. 443-463.
10. Lachner, R., Breitner, M. H., and Pesch, H. J., "Three-Dimensional Air Combat: Numerical Solution of Complex Differential Games," Advances in Dynamic Games and Applications, edited by G. J. Olsder, Birkhäuser, Boston, 1995, pp. 165-190.
11. Raivio, T., and Ehtamo, H., "Visual Aircraft Identification as a Pursuit-Evasion Game," Journal of Guidance, Control, and Dynamics, Vol. 23, No. 4, 2000, pp. 701-708.
12. Horie, K., "Collocation with Nonlinear Programming for Two-Sided Flight Path Optimization", Ph.D. Dissertation, Dept. of Aeronautical and Astronautical Engineering, Univ. of Illinois, Urbana, IL, Feb. 2002.
13. Basar, T., and Olsder, G. J., Dynamic Noncooperative Game Theory, Society for Industrial and Applied Mathematics, Philadelphia, 1999, pp. 424-441.
14. Hargraves, C. R., and Paris, S. W., "Direct Trajectory Optimization Using Nonlinear Programming and Collocation," Journal of Guidance, Control and Dynamics, Vol. 10, No. 4, 1987, pp. 338-342.
15. Herman, A. L., and Conway, B. A., "Direct Optimization Using Collocation Based on High-Order Gauss-Lobatto Quadrature Rules," Journal of Guidance, Control, and Dynamics, Vol. 19, No. 3, 1996, pp. 592-599.
16. Enright, P. J., and Conway, B. A., "Discrete Approximations to Optimal Trajectories Using Direct Transcription and Nonlinear Programming," Jour nal of Guidance, Control, and Dynamics, Vol. 15, No.4, 1992, pp. 994-1002.
17. Herman, A. L., and Conway, B. A., "Optimal Low-Thrust, Earth-Moon Orbit Transfer," Journal of Guidance, Control, and Dynamics, Vol. 21, No. 1, 1998, pp. 141-147.
18. Betts, J. T., Practical Methods for Optimal Control Using Nonlinear Programming, Society for Industrial and Applied Mathematics, Philadelphia, 2001, pp. 61-125.
19. Papavassilopoulos, G. P., and Cruz, J. B., Jr., "Nonclassical Control Problems and Stackelberg Games," IEEE Transactions on Automatic Control, Vol. AC-24, No. 2, 1979, pp. 155-166.
20. McCormick, B. W., Aerodynamics, Aeronautics and Flight Mechanics, Wiley, New York, 1994, pp. 23-26.
21. Gilbert, W. P., Nguyen, L. T., and Van Gunst, R. W., "Simulator Study of the Effectiveness of an Automatic Control System Designed to Improve the High-Angle-of-Attack Characteristics of a Fighter Airplane," NASA TN D-8176, Langley Research Center, 1976.
22. Horie, K., and Conway, B. A., "GA Pre-Processing for Numerical Solution of Differential Games Problems," Journal of Guidance, Control, and Dynamics, Vol. 27, No. 6, 2004, pp. 1075-1078.
23. Enright, P. J., "Optimal Finite-Thrust Spacecraft Trajectories Using Direct Transcription and Nonlinear Programming," Ph.D. Dissertation, Dept. of Aeronautical and Astronautical Engineering, Univ. of Illinois, Urbana, IL, Jan. 1991.
24. Herman, A. L., "Improved Collocation Methods with Application to Direct Trajectory Optimization," Ph.D. Dissertation, Dept. of Aeronautical and Astronautical Engineering, Univ. of Illinois, Urbana, IL, Sept. 1995.