基于脱靶量级数解的最优机动突防策略

针对比例导引控制的拦截弹，建立高阶制导系统状态空间模型，基于脱靶量级数解公式，对目标最优机动突防策略及其影响因素进行了研究。首先，针对拦截弹的制导系统为线性一阶、线性高阶时，目标最优机动突防效果进行了仿真分析，结果表明拦截弹弹体模型的准确性对突防效果存在影响，高阶系统对应脱靶量更大且效果更真实；将结果与一次阶跃机动和蛇形机动对比，发现最优机动突防效果最佳。然后，建立弹目运动的二维非线性模型，仿真得出目标最优机动产生的脱靶量曲线与线性系统吻合度较高，线性模型选取合适。最后，研究了有效导引比和剩余飞行时间估计误差对最优机动突防效果产生的影响，结果表明有效导引比估计误差对最优机动突防效果影响不大，剩余飞行时间估计误差则会使目标最优机动突防性能大幅下降，甚至部分情况比蛇形机动突防效果差。 

Optimal maneuver penetration strategy based on power series solution of miss distance

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.