引用本文: | 陈小庆,侯中喜,刘建霞.高超声速滑翔式飞行器再入轨迹多目标多约束优化[J].国防科技大学学报,2009,31(6):77-83.[点击复制] |
CHEN Xiaoqing,HOU Zhongxi,LIU Jianxia.Multi-objective Optimization of Reentry Trajectory for Hypersonic Glide Vehicle with Multi-constraints[J].Journal of National University of Defense Technology,2009,31(6):77-83[点击复制] |
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高超声速滑翔式飞行器再入轨迹多目标多约束优化 |
陈小庆, 侯中喜, 刘建霞 |
(国防科技大学 航天与材料工程学院,湖南 长沙 410073)
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摘要: |
轨迹优化是高超声速滑翔式飞行器关键技术之一。为避免间接法求解轨迹优化问题时对初值敏感以及伪谱法求解轨迹优化问题中难以处理航路点和禁飞区等问题,提出采用基于Akima插值多项式的直接法求解高超声速滑翔式飞行器再入轨迹优化问题。以驻点热流密度最小和到达目标点时间最小为优化目标,考虑了终端约束、航路点约束、禁飞区约束、动压约束、过载约束等约束条件。仿真结果表明:采用的插值方法可以减少插值过程中的控制变量越界问题;得到的Pareto前沿具有良好的分布性,在初步设计时能够给设计者较大的选择余地;和文献中的单目标优化结果相比,本文所采用的算法也具有较好的寻优能力。 |
关键词: 高超声速滑翔式飞行器 轨迹优化 多目标优化 Akima样条插值 直接法 |
DOI: |
投稿日期:2009-04-14 |
基金项目:湖南省创新基金资助项目;国防科技大学优秀研究生创新基金资助项目(B090101) |
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Multi-objective Optimization of Reentry Trajectory for Hypersonic Glide Vehicle with Multi-constraints |
CHEN Xiaoqing, HOU Zhongxi, LIU Jianxia |
(College of Aerospace and Materials Engineering, National Univ. of Defense Technology, Changsha 410073, China)
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Abstract: |
Trajectory optimization is a key technology of hypersonic glide vehicle. In order to avoid the disadvantage of indirect method's sensitivity to initial guess and pseudospectral method's difficulty to settle path constraints, a direct method based on Akima spline interpolation is proposed to solve reentry trajectory optimization problem. A numerical example that minimizes the stagnation point heat flux and fly time to target while satisfying state constraints such as vehicle dynamics, control limitation, waypoint, no-fly zone, dynamic pressure and overload is presented. Compared with literature results, the results show that the Akima interpolation can decrease the control parameter's bound violation phenomena during interpolation; the Pareto front distributed nicely, providing more choice to designer during concept design stage. Compared with the single object optimize result in literature, the algorithm adopted in this paper also shows better performance. |
Keywords: hypersonic glide vehicle trajectory optimization multi-objective optimization Akima spline interpolation direct method |
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