关键词: 水声对抗, 高斯分布, 博弈论, 线性规划, 单纯形法

Abstract:

Due to the great threat of torpedo against surface warships, an efficient hydroacoustic countermeasure system must output real-time strategies to accommodate varied antagonizing scenarios. Aiming at the decision-making problem in the anti-torpedo hydroacoustic countermeasure cases, an intelligent adversarial strategy is proposed based on the game theory. By discretizing the strategy space of both sides, a matrix game model is established where the payoff is characterised by the capture probability of attacking torpedo. An improved simplex algorithm is then developed to get the mixed-strategy Nash equilibrium of the game model, which can be used to obtain preferred avoidance strategies to minimize the risk of being captured by the attacking torpedo. Based on the probabilistic view of the preferred adversarial strategy, the launching strategy of the floating acoustic decoy can be achieved, and the evasion trajectory of warship can be confirmed simultaneously. Numerical simulation results demonstrate that the proposed method can generate real-time intelligent antagonizing strategy, and consequently, which can improve the survival rate of surface warships in the of anti-torpedo countermeasure scenarios.

Key words: underwater acoustic antagonizing, Gaussian distribution, game theory, linear programming, simplex method