具有内点状态约束的机动再入弹道优化设计

高级机动弹头末制导装置开始工作时对弹头飞行速度和姿态有一定的要求。这就增加了内点约束,从而使机动再入弹道设计问题成为具有内点约束和终端约束更复杂的最优控制问题。利用遗传算法求解该问题,用多段插值方法进行染色体设计,设计了基于模拟退火思想的罚函数和适应度函数来处理各种约束。仿真结果表明,所设计的遗传算法效率高,对初值不敏感,能搜索到全局最优解。所设计的再入机动弹道能满足机动弹头对姿态、热流和速度的要求。

Maneuver reentry trajectory optimization with inner state constraints

The terminal guidance devices of advanced maneuver warhead at the begining of work require that the warhead flys under a certain speed and attitude condition,which introduces new inner state constraints of the trajectory optimization.So maneuver reentry trajectory design problem was transferred into the more complex optimum control problem with terminal constraints and inner state constraints.The problem was solved by means of the genetic algorithm,and the multi-segment interpolation method was used for chromosome design.All kinds of constraints was dealt with by designing a penalty function and adaptive fitness function based on simulation anneal.The simulation results show that the designed genetic algorithm which possesses high efficiency and is insensitive to initial value can find the global optimum solution.The designed maneuver reentry trajectory can meet the demands of attitude,heat flux and velocity for the warhead.