拦截高速目标的中制导次优弹道修正

针对临近空间飞行器的快速发展所带来的拦截高速目标作战需求，应用模型静态预测规划（model predictive static programming，MPSP）方法设计了一种中制导次优弹道修正算法.首先，通过分析中末制导交接班时刻拦截弹的最佳交接状态，得到了零控拦截条件，该条件由拦截弹和目标的速度比以及二者的速度前置角唯一确定；其次，针对不满足零控拦截条件的情形，分析了在引入比例导引作为末制导律前提下的捕获区，得到了拦截弹和目标速度前置角组成的平面内的捕获区基本构成，建立了中末制导交接班时刻拦截弹需要满足的捕获区约束；然后利用高斯伪谱法（Gauss pseudospectral method，GPM）得到了满足零控拦截条件的基准弹道，应用MPSP设计了考虑捕获区约束条件限制的弹道修正算法；最后，仿真结果验证了所提方法的合理性以及有效性. 

Suboptimal Midcourse Trajectory Modification for Hypersonic Target Interception

Aimed at the hypersonic interception combat demand caused by the rapid developments of the near space vehicles, a suboptimal midcourse trajectory modification algorithm was designed based on model predictive static programming(MPSP).Firstly, analyzing the optimum conditions at the handover moment between the midcourse and terminal guidance, the zeroing effort interception condition was deduced according as the interceptor and target velocity ratio and their velocity heading angles. Secondly, introducing the proportional navigation as the terminal guidance law, the capture region of the terminal guidance was analyzed for the cases where the interceptor failed to satisfy the zeroing effort interception condition. The structure of the capture region was built in the plane composed of the interceptor and target velocity heading angles, serving as the constraints for the interceptor at handover moment. Thirdly, the Gauss pseudospectral method (GPM) was used to get the nominal optimal trajectory, satisfying the zeroing effort interception condition and the MPSP was introduced to modify the trajectory, considering the capture region constraints. Finally, the simulations were carried out to testify the rationality and effectiveness of the proposed method.