Interval algorithm is a new approach for global optimization. All data within the interval can be searched during optimazation. So, the best solution can be found. Thus, this algorithm is researched to design the reentry trajectory for space vehicles. Firstly, the equations of motion in the form of interval were given. The total heat load was chosen to be minimized, and the attack angle and bank angle were chosen as optimal control variables. Secondly, the feasibility and advantages of interval algorithm were discussed. The analytical expressions of attack and bank angle were modeled through the features of interval algorithm. Finily, the simulation results were gotten with the help of Matlab. And the results show that this method can guarantee the best solution and it has some advantages compared to other algorithm.%区间算法是近年来出现的一种新的全局优化算法,将其引入到再入轨迹优化中来.首先建立了航天器再入区间模型,选取总加热量最小为性能指标,控制量则选为功角和滚转角；然后讨论了区间算法在再入轨迹优化中的可行性以及其优势；其次根据该算法的特点,构建了待优控制量功角、滚转角的区间解析表达式,以及给出了约束条件的处理方法.最后分析并解决了该算法在再入轨迹优化中应用的其余关键问题.仿真结果表明,该算法能够保证在再入轨迹优化中找到全局最优解,相比于其他优化算法具有某些优势.
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