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多级固体运载火箭轨迹优化是一个多阶段多约束的最优控制问题。hp自适应伪谱法融合了有限元法和全局伪谱法的思想,采用双层优化策略对细化单元数和插值基函数的阶次进行自适应调节以满足精度和快速性要求。对基于hp自适应伪谱法的多级固体运载火箭主动段轨迹优化问题进行了数值计算,结果表明该优化方法能够很好的满足过程约束和终端入轨条件,具有收敛速度快、对初值不敏感等优点,有一定的工程应用价值。
Multi-stage solid rocket trajectory optimization is a multi-stage multi-constraint optimal control problem. hp adaptive pseudospectral method is combined with the idea of finite element method and global pseudospectral method. The bilevel optimization strategy is used to adaptively adjust the number of refined units and the order of interpolation basis functions to meet the requirements of accuracy and rapidity. The hp adaptive pseudospectral method based on the multi-stage solid rocket launcher trajectory optimization problem is calculated, the results show that the optimization method can well meet the process constraints and the terminal into orbit conditions, with the convergence speed, the initial value Insensitive, etc., have a certain value of engineering applications.