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Fixed-time cooperative trajectory optimisation strategy for multiple hypersonic gliding vehicles based on neural network and ABC algorithm

Published online by Cambridge University Press:  26 April 2023

X. Zhang
Unmanned System Research Institute, Northwestern Polytechnical University, Xi’an 710072, China
S. Liu
Shanghai Arospace Equipment Manufacturer Co Ltd, Shanghai 200245, China
J. Yan
Unmanned System Research Institute, Northwestern Polytechnical University, Xi’an 710072, China
S. Liu
Unmanned System Research Institute, Northwestern Polytechnical University, Xi’an 710072, China
B. Yan*
School of Astronautics, Northwestern Polytechnical University, Xi’an 710072, China
Corresponding author: B. Yan; Email:


Collaborative planning for multiple hypersonic vehicles can effectively improve operational effectiveness. Time coordination is one of the main forms of cooperation among multi-hypersonic glide vehicles, and time cooperation trajectory optimisation is a key technology that can significantly increase the success rate of flight missions. However, it is difficult to obtain satisfactory time as a constraint condition during trajectory optimisation. To solve this problem, a multilayer Perceptrona is trained and adopted in a time-decision module, whose input is a four-dimensional vector selected according to the trajectory characteristics. Additionally, the MLP will be capable of determining the optimal initial heading angle of each aircraft to reduce unnecessary manoeuvering performance consumption in the flight mission. Subsequently, to improve the cooperative flight performance of hypersonic glide vehicles, the speed-dependent angle-of-attack and bank command were designed and optimised using the Artificial Bee Colony algorithm. The final simulation results show that the novel strategy proposed in this study can satisfy terminal space constraints and collaborative time constraints simultaneously. Meanwhile, each aircraft saves an average of 13.08% flight range, and the terminal speed is increased by 315.6m/s compared to the optimisation results of general purpose optimal control software (GPOPS) tools.

Research Article
© The Author(s), 2023. Published by Cambridge University Press on behalf of Royal Aeronautical Society

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