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基于变效能因子的Lanchester协同干扰最优功率分配

     

摘要

针对协同电子干扰中的功率分配问题,分析了电子干扰与作战效能之间的数学关系,并以此为基础建立了变效能因子的Lanchester平方律扩展模型.以模型的状态方程构建目标函数,在作战编队干扰功率总量恒定的约束条件下,分别分析求解了红方在资源与火力处于优势与劣势情况下的电子干扰的最优功率协同分配策略,并给出了详细的数学推导过程.仿真结果表明,该协同功率分配策略能够实现整体作战效能与干扰效能的最优化,即模型的合理性得到了验证.%To solve the power partitioning problem for cooperative electronic jamming, the relationship between electronic jamming and operational efficiency is analyzed, and on the basis of which an expanded Lanchester square law model with variable efficiency factors is established. Building the objective function based on the state equations, both the optimal power partitioning strategies in the instance of a red superiority and inferiority on resource and fire are analyzed and solved respectively under the constraint of a constant jamming power volume , the detailed mathematical process is proposed. Simulation results show that cooperative jamming power partitioning strategies will optimize both the overall operational efficiency and jamming efficiency, which means that the rationality of the model is verified.

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