Application of multistage influence diagram game theory for multiple cooperative air combat
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摘要: 为了解决不确定环境下空战机动决策问题,将影响图和对策论引入到多机协同空战中,提出了协同影响图对策模型.首先确定群机空战转化为多个小编队作战的原则,然后在协同的思想下把多对多空战模型转化为多个一对一空战模型,最后在不确定环境下,运用影响图对策理论解决一对一空战.针对影响图对策模型计算量大的问题,采用移动平均控制法进行求解.空战仿真结果表明该模型的有效性.Abstract: In order to make maneuvering decisions in uncertain environments, the influence diagram theory and game theory were introduced to maneuvering decision making in multiple cooperative air combat and the cooperative influence diagram game model was presented. Firstly, the principles that the large group air combat is converted to the air combat of several small teams were determined. Then, multi-target vs. multi-target model was converted to single target vs. single target model under the ideal of the cooperative air combat consideration. Last, the influence diagram game theory was used to solve the one on one air combat. The pilots- game optimal control sequences were obtained by solving the influence diagram game with a moving horizon control approach. The simulation results show the model is more effective than the cooperative differential game under condition of uncertainty.
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