一种基于不完全信息的电子对抗建模方法

A Modeling Method of ECM Based on Incomplete Information

现有的电子对抗博弈模型大多由综合模糊数学法与博弈论组成,而上述模型的作战背景均设定为已知干扰机类型与所有干扰方将会采取的干扰策略,与现实作战环境不符。在真实电子对抗作战中,通过侦查所得到的情报并不完整。文中首先提出一种基于去量纲化参数的电子对抗立即回报模型;然后,将博弈论中的不完全信息博弈理论运用于电子对抗策略建模中,引入精炼贝叶斯均衡的概念,给出了不完全信息下博弈模型最优策略的求解方法,并使用贝叶斯均衡与非线性规划指导电子对抗策略的选取;最后,通过实例模型验证了该方法的可行性。

Most of the existing electronic countermeasure(ECM) game models are composed of comprehensive fuzzy mathematics and game theory. The above models set the background as jammer type and jamming strategy that all the jammers will adopt is known, which is not consistent with the real combat environment. In a real combat environment, intelligence obtained through investigation is not complete. In this paper, an immediate return model of ECM based on dedimensionalized parameters is proposed. Then, the incomplete information game theory in game theory is applied to the modeling of ECM strategy, and the process of probability and refined Bayesian equilibrium is introduced. The method of solving the optimal strategy of game model under incomplete information is given. Both Bayesian equilibrium and non-linear programming are used to guide the selection of ECM strategy. Finally, the feasibility of this method is verified by an example model.