中文摘要：

针对多脉冲导弹非连续助推的特点，基于hp自适应伪谱法研究了多约束多阶段的弹道优化设计问题。结合多脉冲导弹的工作过程，给出了弹道的分段准则，在考虑过载、动压及终端弹道参数等约束条件下，建立了运动学模型以及多约束多阶段全弹道优化模型。为解决Radau伪谱法处理复杂优化问题时存在的局限性，提出了一种基于hp自适应伪谱法的求解策略，对其最大射程的弹道进行了优化设计，并与传统的最大升阻比方案所得的结果进行了比较分析。仿真结果表明，该方法能有效解决多脉冲导弹弹道优化问题，射程比最大升阻比方案提高了7.8%，研究结果可为多脉冲导弹的弹道总体设计提供参考。

英文摘要：

According to the characteristics of the discontinuous boost for multiple-pulse missiles, the multi-constraints and multi-phase trajectory optimization problem based on hp-adaptive pseudo-spectral method was researched.The trajectory segment cri-terion was presented combining with the missile working process. The dynamic model and multi-constraints multi-phases trajectory optimization model were established concerning the constraints of overload,dynamic pressure,and terminal trajectory parameters.A maximum range optimization calculation case based on hp-adaptive pseudo-spectral method solving strategy was given,so as to tackle the constraints when using Radau,pseudo spectral method to deal with complicated optimization problem.Moreover,the results were compared with that of the traditional maximum lift-to-drag ratio method.The simulation results show that the algorithm can efficiently solve the problem of multiple-pulse missile trajectory optimization and improve the maximum range by 7. 8% in comparison to the maximum lift-to-drag ratio method. The results can provide a reference to the overall design of multiple-pulse missiles.