|
|
|
| Glide Trajectory Optimization for Hypersonic Vehicles Based on Adaptive Chebyshev Pseudo-Spectral Method |
| MIAO Yuheng1， LI Rufei2， E Bin1， WANG Xiaogang1， CUI Naigang1 |
| 1. School of Astronautics， Harbin Institute of Technology， Harbin 150001， Heilongjiang， China；
2. Shanghai Electro-Mechanical Engineering Institute， Shanghai 201109， China |
|
|
|
|
Abstract The trajectory of hypersonic vehicles during unpowered high-speed gliding flight within the atmosphere is a complex nonlinear multi-constraint optimisation problem. To address trajectory optimisation under different objective functions for the unpowered gliding phase of hypersonic vehicles, the dynamics equations for the gliding phase were established, simplified, and improved in this study. A trajectory optimisation method based on the hp-adaptive Chebyshev pseudo-spectral method was employed, and the analytical gradients of the objective functions in numerical form were derived. The trajectory optimisation problems for minimum flight time and minminm heat generation under specified conditions were solved. The results demonstrate that this method can solve trajectory optimisation problems for hypersonic vehicles with high computational accuracy. Besides, the correctness of the provided gradient calculation formulas was verified in this study, which could improve the computational efficiency of the algorithm to a certain extent.
|
|
Received: 05 March 2025
Published: 15 July 2025
|
|
|
|
|
|
| [1] |
JIANG Ruimin, ZHOU Xinjie, ZHAO Bin, BI Qian, ZHU Yalong. Covariance Analysis for Hypersonic Vehicle Attitude Control System[J]. Air & Space Defense, 2025, 8(2): 44-49. |
| [2] |
YAN Honglei, LU Yuan, GUO Jie, TANG Shengjing, LI Xiang. Cluster Cooperative Formation Control Method for Underactuated Hypersonic Vehicle[J]. Air & Space Defense, 2024, 7(1): 56-62. |
| [3] |
LIN Zhaochen, ZHANG Xinran, LIU Ziyang, HE Fenghua, OUYANG Lei. Deep Learning-Based Hypersonic Vehicle Motion Behavior Recognition[J]. Air & Space Defense, 2024, 7(1): 48-55. |
| [4] |
DI Ziqi, WANG Xiangyu, WU Shuang, ZHOU Yu. An Algorithm for Trajectory Generation and Prediction of Hypersonic Vehicle Based on Transformer Architecture[J]. Air & Space Defense, 2023, 6(4): 35-41. |
| [5] |
. Current Developments in Foreign Hypersonic Vehicles and Defense Systems[J]. Air & Space Defense, 2023, 6(3): 39-51. |
| [6] |
TIAN Ruocen, ZHANG Qingzhen, GUO Yunhe, CHENG Lin. Design of Reentry Guidance Law of Hypersonic Vehicle Based on No-Fly Zone Avoidance[J]. Air & Space Defense, 2022, 5(2): 65-74. |
| [7] |
LIU Shuangxi, WANG Yichong, ZHU Mengjie, LI Yong, YAN Binbin. Research on Differential Game Guidance Law for Intercepting Hypersonic Vehicles with Small Missile-to-Target Speed Ratio[J]. Air & Space Defense, 2022, 5(2): 49-57. |
| [8] |
XIONG Junhui, LI Keyong, LIU Yi, JI Yu. Study on Near Space Defense Technology Development and Penetration Strategy[J]. Air & Space Defense, 2021, 4(2): 82-86. |
| [9] |
WANG Haoning, TANG Shengjing, GUO Jie, HUANG Fan. Time-Constrained Reentry Guidance with Dynamic Angle of Attack Profile[J]. Air & Space Defense, 2021, 4(1): 71-76. |
| [10] |
LIU Haodong, ZHANG Qingzhen, GUO Yunhe, MAO Jiawen. Online Identification of Morphing Aircraft Model Parameters Based on Recursive Least Square Method[J]. Air & Space Defense, 2020, 3(3): 103-110. |
| [11] |
ZHOU Liang, WANG Haoyu, SHANG Haibin, CAO Li, LAN Guofeng. Research on Optimal Design of the Glide Trajectory of Space-based Reentry Vehicle Based on Gaussian Pseudo Spectral Method[J]. Air & Space Defense, 2020, 3(3): 89-95. |
|
|
|
|
2025, Vol. 8 
