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

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.

Keywords

• 水下攻防
• 最优控制
• 微分博弈
• 反鱼雷鱼雷