关键词: 突防, 最优机动, 脱靶量级数解, 估计误差, 伴随法, 仿真分析

Abstract: Aimed at the proportional guidance missile, the state space model of high-order guidance system was established, and the optimal maneuver penetration strategy and influencing factors were studied based on power series solution of miss distance. First, when the missile guidance system was linear first-order and high-order, the simulations of optimal target maneuver penetration were carried out. The results show that the accuracy of the missile guidance model has an impact on the penetration effect, and the high order has larger miss distance and is more realistic. Then, the results were compared with step maneuver and weaving maneuver, the optimal maneuver penetration effect is the best. Furthermore, a two-dimensional nonlinear missile-target engagement model was established, and the simulation shows that the miss distance curve of optimal maneuver is highly identical with the linear system, and the linear system is selected appropriately. Finally, the impacts of effective navigation ratio and time-to-go estimation error on the optimal maneuver penetration effect were studied. The effective navigation ratio estimation error has little effect on the optimal maneuver penetration effect, the time-to-go estimation error makes the target optimal maneuver penetration performance decline greatly, and in some cases it is even worse than the weaving maneuver penetration effect.

Key words: penetration, optimal maneuver, power series solution of miss distance, estimation error, adjoint method, simulation analysis