Research and simulation of missile to target attack and defense strategy based on game theory

Abstract

Aiming at the situation of random changes in tactics and uncertain information in the confrontation pattern between missile and target in the air combat environment. By analyzing the motion relationship of a single missile attack to determine the target, the principles of dynamic game and differential game are introduced into the relative motion relationship between missile and target. In the dynamic game process of attack and defense confrontation, the terminal guidance problem of a single missile attacking and intercepting the target is modeled as a "one to one missile target" game model. The missile guidance law based on game theory under mixed strategy and the global strategic situation of bilateral optimization of the opponent at a certain moment are proposed. The method of model rolling prediction combined with differential game theory is introduced to simulate the confrontation between missile and target in uncertain attack and defense environments. The simulation results show that using this method can reduce the miss distance of missile to target and improve the hit accuracy of missile. The model provides a basis for missile attack and defense operations.

Keywords

• attack and defense strategies|differential games|model prediction|nash equilibrium|guidance law