Trajectory Optimization for Climbing Phase of Hypersonic Missile with Multi-objective and Multi-degree-of-freedom

doi:10.3969/j.issn.1009-086x.2024.06.008

Abstract

Abstract:

In order to solve the trajectory optimization problem of air-breathing hypersonic missile， which can reflect its dynamic characteristics more truly and meet the requirements of multiple optimization indexes in the climbing phase， a trajectory optimization design method for air-breathing hypersonic missile with multi-degree-of-freedom is proposed. Under multiple constraints such as overload and dynamic pressure， the weighted summation method is used to design the double optimal target， and the hp adaptive pseudo-spectrum method is used to design and analyze the climbing trajectory of the air-breathing hypersonic missile. Simulation results show that this method can effectively solve the comprehensive optimization problem considering the minimum climb time and the minimum fuel consumption at the same time， and the multi-degree-of-freedom design can reflect the dynamic characteristics of the air-breathing hypersonic missile climbing stage more truly. Improved trajectory performance provides a new idea for trajectory optimization design of air-breathing hypersonic missile.

Key words: air-breathing supersonic missile, hp adaptive pseudo-spectral method, multi-degree-of-freedom trajectory optimization, multi-objective weighted sum, climb trajectory

摘要：

为解决吸气式高超声速导弹在爬升段更真实地反映其动力学特点以及满足多优化指标需求的轨迹优化问题，提出了一种针对吸气式高超声速导弹多自由度的轨迹优化设计方法。在过载和动压等多约束条件下，运用加权求和法设计双优化目标，采用hp自适应伪谱法对吸气式高超声速导弹爬升段弹道进行了综合优化设计分析。仿真结果表明，该方法能有效解决同时考虑最小爬升时间和最少燃料消耗的综合优化问题，多自由度设计也能够更真实地反映吸气式高超声速导弹爬升段的动力学特点。为吸气式高超声速导弹轨迹优化设计提供了新思路。

关键词: 吸气式高超声速导弹, hp自适应伪谱法, 多自由度轨迹优化, 多目标加权求和, 爬升段轨迹

CLC Number:

TJ765.2

Suyu YAN, Chao MING, Xiaoming WANG, Zhihua WEI, Kaiyuan YANG. Trajectory Optimization for Climbing Phase of Hypersonic Missile with Multi-objective and Multi-degree-of-freedom[J]. Modern Defense Technology, 2024, 52(6): 52-60.

严苏豫, 明超, 王晓鸣, 位志华, 杨凯源. 高超声速导弹爬升段多目标多自由度轨迹优化[J]. 现代防御技术, 2024, 52(6): 52-60.

Figures/Tables 6

Fig. 1 Schematic diagram of trajectory of air-breathing hypersonic missile

Fig. 2 Hp adaptive pseudo-spectral method iterative flow chart

Fig. 3 Trajectory simulation considering pitch angle attitude change

Table 1 Performance data of the optimal trajectory

方案	时间/s	高度/km	射程/km	质量/kg	性能指标
1	37.19	26.7	60	643.8	-371.4
2	37.21	26.7	60	642.7	-370.7

Fig. 4 Trajectory simulation considering multi-objective optimization

Table 2 Performance data of the terminal trajectory

$λ$	时间/s	高度/km	射程/km	质量/kg	性能指标
$0$	35.4	26.7	60	641.7	-370.9
$0.6$	37.2	26.7	60	643.8	-371.4
$1.0$	39.3	26.7	60	644.5	-371.0

Table 2 Performance data of the terminal trajectory

$λ$	时间/s	高度/km	射程/km	质量/kg	性能指标
$0$	35.4	26.7	60	641.7	-370.9
$0.6$	37.2	26.7	60	643.8	-371.4
$1.0$	39.3	26.7	60	644.5	-371.0

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