航空集群一发多收有源定位最优构型

doi:10.12382/bgxb.2022.0104

摘要/Abstract

摘要：

针对航空集群一发多收有源协同定位运用问题,研究一发多收有源协同定位最优构型与航迹优化方法,进一步提升有源协同定位效果。建立一发多收有源协同定位模型,分别基于 A优化准则与D优化准则推导不同接收机数目情况下航空集群有源定位对目标进行定位的最优几何构型,推导出最优构型的解析解,为航空集群航迹优化提供理论支撑;将得到的最优构型运用到航空集群航迹优化中,提出基于A/D准则的航空集群有源定位航迹优化方法。通过仿真实验,航迹优化后的航空集群一发多收有源定位精度有较大幅度提升,说明航迹优化在航空集群有源协同定位的有效性。

关键词: 航空集群, 有源定位, 优化准则, 最优构型, 航迹优化

Abstract:

To address the problems in the application of aircraft swarms in active cooperative localization with one transmitter and multiple receivers, the optimal configuration and the trajectory optimization method for active cooperative localization are studied to further improve the localization accuracy. Firstly, the model of active cooperative localization using one transmitter and multiple receivers is established. Based on this model, the optimal geometric configuration of target localization with different number of receivers is derived based on A-optimality criterion and D-optimality criterion respectively, and the analytical solution of the optimal configuration is analyzed to provide theoretical support for the aircraft swarm’s trajectory optimization. Secondly, the obtained optimal configuration is applied to the aircraft swarm’s trajectory planning and an active localization method based on A/D-optimality criteria is proposed. Through simulation experiments, the accuracy of active localization for the aircraft swarm with one transmitter and multiple receivers after trajectory optimization has been significantly improved, indicating the effectiveness of trajectory optimization in active cooperative localization for aircraft swarms.

Key words: aviation swarm, active localization, optimality criterion, optimal configuration, trajectory optimization

王维佳, 王玉冰, 田瑾, 毛昭军, 杜琳琳. 航空集群一发多收有源定位最优构型[J]. 兵工学报, 2023, 44(6): 1655-1664.

WANG Weijia, WANG Yubing, TIAN Jin, MAO Zhaojun, DU linlin. Optimal Configuration of Aircraft Swarm’s Active Localization with One Transmitter and Multiple Receivers[J]. Acta Armamentarii, 2023, 44(6): 1655-1664.

图/表 11

图1 航空集群一发多收有源协同定位跟踪示意图

Fig.1 Active localization with one transmitter and multiple receivers in aircraft swarm

图2 一发多收定位跟踪示意图

Fig.2 Active localization with one transmitter and multiple receivers

图3 基于D优化准则的最优构型示意图

Fig.3 Optimal configuration based on D-optimality criterion

图4 基于A优化准则的一发四收最优构型示意图

Fig.4 Optimal configuration with one transmitter and four receivers based on A-optimality criterion

图5 M=3时的Tr( J T O A - 1)变化范围

Fig.5 Variation of Tr( J T O A - 1) when M=3

图6 基于A优化准则的奇数个接收机最优构型

Fig.6 Optimal configuration with odd number of receivers A-optimality criterion

图7 航空集群寻找最优航迹示意图

Fig.7 Schematic diagram of finding optimal trajectory for aircraft swarm

图8 基于A/D优化准则的航空集群航迹优化处理流程

Fig.8 Trajectory optimization process of aircraft swarm based on A/D-optimality criteria

图9 基于D优化准则与A优化准则的航迹对比

Fig.9 Trajectory comparison based on A and D-optimality criteria

图10 基于D优化准则与A优化准则的误差对比

Fig.10 Error comparison based on A and D-optimality criteria

图11 航空集群有源定位优化

Fig.11 Active localization optimization of aircraft swarm

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