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针对组网雷达系统资源利用率低的问题,提出一种基于Stackelberg博弈的功率分配方法。首先,在目标跟踪背景下推导了目标状态估计的费雪信息矩阵行列式,并将其作为跟踪精度的衡量指标。然后,将功率分配问题描述为包含两级博弈的Stackelberg博弈模型,以最小化功率消耗为目标建立领导者子博弈,以最优跟踪精度为目标建立跟随者子博弈。最后,利用障碍函数法对该模型进行求解。仿真结果表明,与其他分配算法相比,该方法在满足跟踪性能需求的前提下减小了总功率的消耗,同时提高了系统的资源利用率。
Abstract：Aiming at the problem of low resource utilization of netted radar system, a power allocation method based on Stackelberg game is proposed. Firstly, in the background of target tracking, the determinant of Fisher information matrix(FIM) of target state estimation is derived. It is used as a measure of tracking accuracy. Then, the power allocation problem is described as a Stackelberg game model including two-level game. The leader sub game is established with the goal of minimizing power consumption. The follower sub game is established with the goal of maximizing tracking accuracy. Finally, the obstacle function method is used to solve the two-level game model. Simulation results show that compared with other allocation algorithms, this method not only meets the tracking performance requirements, but also reduces the total power consumption,at the mean time,the resource utilization of the system is improved.
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Basic Information:
DOI：10.16358/j.issn.1009-1300.2021.1.114
China Classification Code:TN95;O225
Citation Information:
[1]邝晓飞,彭宇,靳标,等.基于Stackelberg博弈的组网雷达功率分配方法[J].战术导弹技术,2021,No.210(06):38-46.DOI:10.16358/j.issn.1009-1300.2021.1.114.
Fund Information:
国家自然科学基金（61701416;61871203;62001194）