防空导弹轨道优化的实时计算

REAL TIME COMPUTATION METHODS FOR TRAJECTORY OPTIMIZATION OF AIR DEFENCE MISSILE

首先给出了防空导弹轨道优化的一些理论结果，包括最优轨道对参数的连续依赖性，优化算法的算法模型的收敛性理论。证明了对于每条最优轨道存在的一个吸引区域的Ｄ＊。使得只要初始失代轨道属于这个区域Ｄ＊，则由算法模型构造的轨道序列将收敛到所要的最优轨道。为了实际应用，设计了具体的处理方法，并集成编制了相应的程序ＯＰＴＲＴ，特别适合轨道优化的快速数值计算。

Some theoretical results are developed for the real-time computation for trajectory optimization of air defence missile. The theoy of continuous dependence of the optimal trajectory on the parameters is presented. An algorithm model for optimization methods is given, and the theory of convergence about such algorithm model is formed. It is shown that for each of optimal trajectories, there exists an attractive domain D' such that, whenever the starting iterated trajectory lies in D', the sequence of trajectories, constructed by the algorithm model, will converge to the desirable trajectory. For the practical appilcation, some concerete treatments are also designed, and integrated in a program named OPTRT, which is especially suited for a rapid numerical computation of the trajectory optimization.