【摘 要】
:
高超声速再入轨迹优化问题是一类复杂的最优控制问题.采用高斯伪谱法(GPM)将再入轨迹优化问题转化为非线性规划问题(NLP),对NLP进行归一化处理后,采用SNOPI软件包求解.根据协
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高超声速再入轨迹优化问题是一类复杂的最优控制问题.采用高斯伪谱法(GPM)将再入轨迹优化问题转化为非线性规划问题(NLP),对NLP进行归一化处理后,采用SNOPI软件包求解.根据协态变量映射规则计算出协态变量,得出哈密尔顿函数沿最优控制的变化过程.算例中,GPM耗时约7 s即可生成一条严格满足各种约束的三维最优再入轨迹,耗时远少于相关文献,并且优化精度高,满足一阶最优性必要条件.
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