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针对多段分支弹道设计存在的弹道交班点选取困难、交班控制变量突变等问题,提出一种两级全局优化方法。对各弹道段分别建立子级优化问题,采用系统级优化实现各段交班点耦合变量协调,以及最佳交班点求解;将交班点耦合变量中质量参数转为局部优化变量,其他状态参数转为系统级优化变量,实现了同层优化问题解耦;在子级优化问题中引入控制变量一阶导数作为优化变量,并作为系统级协调变量,保证各段控制变量光滑过渡。某两级重复使用运载器全程弹道优化算例表明,本文提出的方法能将高度耦合的全程弹道优化转化为简单有效的两级优化问题,可推广应用于其它各类多段分支弹道设计。
Aiming at the problems of multi-stage branch ballistic design, such as the difficulty of ballistic handover and the sudden change of control variables, a two-level global optimization method is proposed. The sub-level optimization problem is established for each trajectory segment. The system-level optimization is used to coordinate the coupling variables of each shift point and solve the optimal handover point. The quality parameters in the coupling variable at the handover point are changed to local optimization variables, and the other state parameters are changed to The system-level optimization variables are used to decouple the optimization problems in the same level. The first-order derivative of control variables is introduced into the optimization problem as the optimization variable and the system-level coordination variables to ensure the smooth transition of control variables. A full-scale ballistic optimization of a two-stage reutilization vehicle shows that the proposed method can transform highly coupled full-ballistic ballistic optimization into a simple and effective two-level optimization problem, which can be extended to other types of multi-stage ballistic design.