Journal of Projectiles, Rockets, Missiles and Guidance >
The Differential Game Guidance Law Design Based on Two-sided Optimal Control
Received date: 2010-12-15
Online published: 2025-05-30
In order to improve missile guidance ability to attack targets with large maneuverability, a two-sided optimal differential game guidance law was presented in this paper. A novel adjoint method was introduced to solve a two-point boundary value problem which is difficult in mathematics. The formula of the differential game guidance law was deduced in the case of first order time lag of missiles and targets. Compared with the simulation of the ideal proportional navigation and the one-sided optimal guidance law, the differential game guidance law is known to be an optimal solution, which minimizes the cost functional and miss distance.
Key words： differential game; guidance law; optimal control; miss distance; maneuverable target
LUO Sheng , SUN Weiguo , ZHANG Ping , YANG Yongsheng . The Differential Game Guidance Law Design Based on Two-sided Optimal Control[J]. Journal of Projectiles, Rockets, Missiles and Guidance, 2011 , 31(5) : 1 -3,12 . DOI: 10.15892/j.cnki.djzdxb.2011.05.052
| [1] | Isaacs R. Differential games [M]. New York: John Wiley & Sons, 1965. |
| [2] | Friedman A. Differential games [M]. New York: Wiley Interscience, 1971. |
| [3] | Cherry G W. A general explicit, optimizing guidance law for rocket-propellant spacecraft, AIAA 64-638[R]. 1964. |
| [4] | Shaw R L. Fighter combat: the art and science of air-to-air warfare [M]. 2nd ed. UK: Patrick Stephens Ltol, 1988. |
| [5] | M J Tahk, H Ryu, J G Kim. An iterative numerical method for a class of quantitative pursuit-evasion games [C]//AIAA Conference on Guidance, Navigation, and Control, 1998: 175-182. |
| [6] | Basar T, Olsder G J. Dynamic noncooperative game theory[M]. Philadelphia: SIAM, 1999. |
| [7] | 汤善同. 微分对策制导规律与改进的比例导引制导规律性能比较[J]. 宇航学报, 2002, 23(6): 38-42. |
| [8] | 张嗣瀛. 微分对策[M]. 北京: 科学出版社, 1987. |
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