Research on game strategy of underwater attack and defense process in typical situation

典型态势下水下攻防过程博弈策略研究

¹ 705 th Research Institute, China State Shipbuilding Corporation Limited, Xi'an 710077, China
² School of Astronautics, Northwestern Polytechnical University, Xi'an 710072, China

Received: 5 September 2022

Abstract

Aiming at the problem of underwater attack and defense in typical situations, a mathematical model of three-party attack and defense problem composed of torpedo, submarines and anti-torpedo torpedo is established. Under the condition of considering three-party game confrontation, the three-party game problem is transformed into the pursuit and escape game problem between the submarine and torpedo, and the interception and evasion game problem between the submarine launched ATT and the torpedo. Based on the optimal control theory and differential game theory, the three-party optimal game problem is studied, and the three-party game performance evaluation function is designed based on the optimal performance of the two parties of pursuit and escape and the two parties of interception and evasion. According to the optimal necessary condition of the bilateral extremum, the strategy of pursuing, escaping, blocking and avoiding in the three-party game is deduced. The effectiveness of the game strategy designed in the underwater attack and defense process is verified by simulations. The results show that the game strategy can improve the effects of submarine escape, anti-torpedo torpedo interception and torpedo attack.

摘要

针对典型态势下水下攻防问题, 建立了由来袭重型鱼雷、潜艇和反鱼雷鱼雷(anti-torpedo torpedo, ATT)构成的三方攻防问题数学模型。在考虑三方博弈对抗的条件下, 将三方博弈问题转化为潜艇与来袭重型鱼雷之间的追逃博弈问题和潜艇发射的ATT与来袭重型鱼雷之间的拦截规避博弈问题, 基于最优控制理论和微分博弈理论研究了追逃拦截规避三方最优博弈问题, 综合追逃两方、拦截规避两方最优性能设计了三方博弈性能评价函数, 根据双边极值最优必要条件推导了三方博弈追逃拦截规避对抗策略。开展了不同工况下三方采用博弈策略前后的仿真试验, 结果表明所设计的水下攻防过程博弈策略能够提升潜艇逃逸、反鱼雷鱼雷拦截和重型鱼雷打击效果。