Design of maneuvering attack-defense guidance law for differential game with underwater incomplete information

doi:10.3785/j.issn.1008-973X.2025.08.008

Journal of ZheJiang University (Engineering Science)

2025, Vol. 59

Issue (8): 1617-1623 DOI: 10.3785/j.issn.1008-973X.2025.08.008

Design of maneuvering attack-defense guidance law for differential game with underwater incomplete information

Dongyang HAN1(

),Qianqian ZHANG1,2,Haitao WANG1,Mingming YIN1

1. Shanghai Marine Electronic Equipment Research Institute, Shanghai 201108, China
2. School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China

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Abstract

Research was conducted on the design of guidance laws for targets, attackers and defenders based on differential game theory aiming at the issue of incomplete information in underwater maneuvering attack-defense environment. A navigation feedback control form that satisfied Nash equilibrium was obtained by using relative motion relationships and game-theoretic optimal conditions. An improved guidance strategy based on stochastic differential games was designed by considering the noisy factors in aircraft motion control and observation. The saddle-point game pair was derived by combining the conditions of discrete observation information. The game countermeasures were adjusted to make the guidance control countermeasures closer to real-world detection. The effectiveness of the proposed method under progressive information constraint conditions was verified through game simulation and comparison. Results show that the proposed strategy performs well and can provide guidance for the design of maneuvering guidance laws with incomplete information.

Key words： maneuvering attack-defense incomplete information guidance law stochastic differential game

Received: 28 July 2024 Published: 28 July 2025

CLC:

TJ 630

Fund: 智能博弈重点实验室创新工作站开放课题（ZBKF-24-03）.

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Cite this article:

Dongyang HAN,Qianqian ZHANG,Haitao WANG,Mingming YIN. Design of maneuvering attack-defense guidance law for differential game with underwater incomplete information. Journal of ZheJiang University (Engineering Science), 2025, 59(8): 1617-1623.

URL:

https://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2025.08.008 OR https://www.zjujournals.com/eng/Y2025/V59/I8/1617

水下不完全信息的微分博弈机动攻防导引律设计

针对水下机动攻防环境中信息不完全问题，基于微分博弈理论，开展目标-攻击者-防御者的导引律设计研究. 通过相对运动关系与博弈最优条件，获得满足纳什均衡的航行反馈控制形式. 考虑航行器运动控制与观测含噪因素，设计基于随机微分博弈的改进导引策略. 结合离散观测信息条件，推导鞍点博弈对. 调整对策，使导引控制对策更贴近现实探测. 通过对策模拟与对比，验证所提博弈求解结果在递进信息限制条件下的有效性. 结果显示，所提策略的表现良好，可以为不完全信息机动导引律的设计提供指导.

关键词： 机动攻防, 不完全信息, 导引律, 随机微分博弈

Fig.1 Simulation demonstration of initial situation

Fig.2 Motion of three-party attack-defense with short game duration

Fig.3 Motion of three-party attack-defense with long game duration

Fig.4 Motion of various guidance comparison methods

Tab.1 Comparison of game result of various guidance methods

Fig.5 Robustness analysis of control and observation error coefficient

Fig.6 Robustness analysis of intermittent observation


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