高速目标分阶段博弈拦截制导策略

王鑫; 闫杰; 孟廷伟

doi:10.7527/S1000-6893.2021.25598

航空学报 >

2022 , Vol. 43 >Issue 9: 325598 - 325598

DOI: https://doi.org/10.7527/S1000-6893.2021.25598

电子电气工程与控制

高速目标分阶段博弈拦截制导策略

王鑫 ,
闫杰 ,
孟廷伟

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1. 西北工业大学航天学院, 西安 710072;
2. 西北工业大学无人系统技术研究院, 西安 710072

收稿日期: 2021-03-30

修回日期: 2021-05-05

网络出版日期: 2021-08-25

基金资助

国家自然科学基金(61873210, 61871302)

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High-speed target multi-stage interception scheme based on game theory

WANG Xin ,
YAN Jie ,
MENG Tingwei

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1. School of Astronautics, Northwestern Polytechnical University, Xi'an 710072, China;
2. Unmanned System Research Institute, Northwestern Polytechnical University, Xi'an 710072, China

Received date: 2021-03-30

Revised date: 2021-05-05

Online published: 2021-08-25

Supported by

National Natural Science Foundation of China (61873210, 61871302)

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摘要

基于分阶段博弈模型对吸气式高超声速飞行器的拦截问题进行了研究, 提出了由两枚拦截弹组成的拦截系统的分阶段拦截方案。依据高超声速目标的机动特征将拦截过程分为两个阶段。在第1个阶段, 拦截系统依据目标运动特征及约束条件计算得到目标在预测交汇平面的可达范围和虚拟拦截点。拦截弹Ⅰ执行基于虚拟交班点的中制导以及基于广义末制导律的末制导过程。由于目标运动状态受到约束条件的限制, 使得目标在突防过程中可行范围和机动能力大幅减弱。在第2个阶段, 基于博弈理论和直觉模糊理论建立拦截弹Ⅱ-目标直觉模糊博弈模型。通过设计拦截弹-目标策略集以及多属性评估模型获得满足要求的均衡策略模型, 通过求解非线性规划问题最终使得我方拦截最终博弈获胜。通过拦截弹动态策略和固定策略的仿真对比说明所提博弈制导策略的有效性。

关键词： 分阶段拦截; 目标可行域; 直觉模糊博弈; 决策评估; 纳什均衡

本文引用格式

王鑫 , 闫杰 , 孟廷伟 . 高速目标分阶段博弈拦截制导策略[J]. 航空学报, 2022 , 43(9) : 325598 -325598 . DOI: 10.7527/S1000-6893.2021.25598

Abstract

Interception of the air-breathing hypersonic vehicle is studied based on the staged game model in this paper. The solution based on the interception system made of two interceptors are proposed. According to the maneuvering characteristics of the hypersonic target, the process of interception is divided into two stages. In the first stage, the interception system calculates the target's reachable range and virtual interception point in the predicted intersection plane according to the target's motion characteristics and constraint conditions. Interceptor Ⅰ executes mid-guidance based on the virtual handover point, and terminal guidance based on the generalized terminal guidance law. Because the movement of the target is restricted by the constraints, the feasible range and maneuvering ability of the target are greatly weakened in the penetration process. In the second stage of the interception process, the Interceptor Ⅱ-target intuitionistic fuzzy game model is established based on the game theory and the intuitionistic fuzzy theory. The equilibrium strategy model is obtained through interceptor-target strategy sets and the multi-attribute evaluation model. Our side wins the game by solving the nonlinear programming problem. Finally, the numerical results of the dynamic strategy and the fixed strategy are compared to show the effectiveness of the proposed guidance strategy.

Key words： interception in stages; target feasible region; intuitionistic fuzzy game; decision evaluation; Nash equilibrium

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