中文摘要：

针对可重复使用运载器覆盖区求解的参数优化问题，文章提出了基于混合优化算法的求解方案，结合全局和局部优化算法的优点，设计了遗传算法与模式搜索法相结合的优化算法。根据再入动力学建立覆盖区求解模型，基于极大值原理推导最优滚转角控制律，并对滚转角约束进行了讨论；对待优化参数的响应面进行分析，利用遗传算法初步获得初始猜测值，然后用模式搜索法进行快速精确搜索。仿真结果表明，所提出的优化算法可以快速搜索出最优参数，在满足过程约束和控制约束下获得准确的再入覆盖区。

英文摘要：

Abstract A mix optimal algorithm with the benefits of both global and local algorithms was proposed for footprint optimization of reusable launch vehicle. Entry flight dynamics was given to describe the footprint problem. Optimal bank angle control law was derived based on the maximum principle and the constraints of the control inputs were discussed. Initial guess of parameters was founded through genetic algorithms. And then, pattern search method was used for rapid and precise parameters optimization. Simulation results show that the proposed approach provides a convenient way for rapidly finding footprint while enforcing path constraints and control input constraints.