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

Zhang Hanlong, Zhou Wenya, Zhu Mengping, Xie Zhengyou, Guo Jitang
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Abstract

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.

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基于矩阵博弈的多航天器拦截策略研究
针对完全信息下多对多追逐-规避博弈情景下的非合作航天器拦截问题,本文基于矩阵博弈理论建立了多轮拦截模型,并阐述了该情景下纳什均衡混合策略的实际意义。针对模型求解的需求,设计了基于遗传算法的模型求解器。最后,根据给定的场景和控制要求,分析了多对多空间拦截博弈的优化策略,并通过数值模拟验证了所建模型及其求解器的有效性。
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