Research on Strategies of Multi-Spacecraft Interception Based on Matrix Game

Aiming at the problem of non-cooperative spacecraft interception under the many-to-many pursuit-evasion game scenario with complete information, this paper establishes a multi-round interception model based on the theory of matrix game, and elaborates the practical significance of the Nash equilibrium mixed strategy in this scenario. Aiming at the demand of model solving, a model solver based on genetic algorithm is designed. Finally, the optimized strategies for many-to-many space interception game is analyzed based on the given scenario and control requirements, and the effectiveness of the established model and its solver is verified by numerical simulation.