基于hp自适应伪谱法的多脉冲导弹弹道优化设计  

Optimizing design of trajectory for multiple-pulse missiles based on hp-adaptive pseudo-spectral method

作　　者：明超[1] 孙瑞胜[1] 白宏阳[1] 孙传杰 

机构地区：[1]南京理工大学能源与动力工程学院,南京210094 [2]工程物理研究院总体工程研究所,绵阳621900

出　　处：《固体火箭技术》2015年第2期151-155,共5页Journal of Solid Rocket Technology

基　　金：国家自然科学基金委员会和中国工程物理研究院联合基金(11176012);航天一院高校联合创新基金(CALT201302)

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。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.

关 键 词：多脉冲导弹 弹道优化 最大射程 hp自适应伪谱法 

分 类 号：V412.4[航空宇航科学与技术—航空宇航推进理论与工程]