考虑零控拦截的中制导最优弹道修正

针对临近空间防御作战问题，设计了考虑零控拦截的中制导段最优弹道修正算法。通过分析末制导阶段拦截弹和目标的相对运动关系，推导得到了零控拦截条件，此条件由目标和拦截弹的速度比以及二者速度矢量和视线之间的夹角唯一确定；针对目标信息更新造成的基准弹道不满足零控拦截条件的情形，提出了在中制导段进行最优弹道修正的方案，调整中制导和末制导交接班时刻拦截弹状态，以重新满足零控拦截条件；通过对基准弹道满足的最优化条件以及横截条件进行再次求导，推导得到了控制量的补偿量，此补偿量的求解考虑到了拦截弹的初始状态偏差以及终端约束偏差，确保了指令解算的可实现性。通过仿真验证了所提方法的有效性以及优越性。

Optimal Trajectory Correction in Midcourse Guidance Phase Considering the Zeroing Effort Interception

An optimal midcourse trajectory correction algorithm considering the zeroing effort interception is designed for the defensive combat in near space. The zeroing effort interception condition is derived by analyzing the relative motion of interceptor and target in the terminal guidance phase, which is uniquely determined by the velocity ratio of target and interceptor and the respective angles among their velocity vectors and the line-of-sight. In terms of the cases where the nominal trajectory fails to satisfy the zeroing effort condition due to the updated target information, a scheme of optimal trajectory correction in the midcourse guidance phase is proposed to modify the interceptor states to re-satisfy the zeroing effort interception condition at the handover moment in the midcourse and terminal guidance phases. The compensation commands of control are derived by further differentiating the first order optimal conditions and transversality conditions that are satisfied by the nominal trajectory. The deviations of interceptor initial states and terminal constraints are considered in the resolving of compensation commands. The simulated results testify the effectiveness and the superiority of the proposed method.