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### 高超声速攻防博弈自适应微分对策三维制导

1. 北京理工大学 宇航学院, 北京 100081
• 收稿日期:2022-05-23 上线日期:2023-08-30
• 通讯作者:
• 基金资助:
国家自然科学基金项目(11202024); 国家自然科学基金项目(11572036)

### Adaptive 3-Dimensional Differential Game Guidance for Hypersonic Attack and Defense

WANG Ziyao, TANG Shengjing, GUO Jie*(), YAN Honglei, GE Jianhao

1. School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China
• Received:2022-05-23 Online:2023-08-30

Abstract:

A 3-dimensional (3D) differential game guidance law based on adaptive dynamic programming (ADP) is proposed to solve the attack and defense problem in hypersonic interceptors attacking hypersonic maneuvering targets. Firstly, the 3D guidance problem in hypersonic attack and defense game is decomposed into the longitudinal plane and lateral plane. Then, the problem model of a hypersonic two-person zero-sum differential game is established in the longitudinal plane. A non-quadratic cost function is designed to satisfy the control constraints. The optimal differential game strategy of the hypersonic interceptor and the target is obtained by the Hamilton-Jacobi-Isaacs (HJI) equation. Since the HJI equation can not be solved analytically, the ADP method is used and a critic neural network is introduced to approximate the optimal cost function to obtain the bank angle amplitudes of both sides. Finally, the lateral guidance is realized by establishing the bank angle reversal logic in the lateral plane by the parallel approach. The simulation results show that the guidance law can achieve precision strike by a hypersonic interceptor under the condition of a maneuvering hypersonic target avoiding interception within the control constraints of both sides of the attack and defense game.