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兵工学报 ›› 2023, Vol. 44 ›› Issue (6): 1655-1664.doi: 10.12382/bgxb.2022.0104

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航空集群一发多收有源定位最优构型

王维佳1, 王玉冰2,*(), 田瑾3, 毛昭军1, 杜琳琳1   

  1. 1.军事科学院 系统工程研究院, 北京 100020
    2.93236部队, 北京 100085
    3.武警工程大学, 陕西 西安 710086
  • 收稿日期:2022-02-22 上线日期:2023-06-30
  • 通讯作者:

Optimal Configuration of Aircraft Swarm’s Active Localization with One Transmitter and Multiple Receivers

WANG Weijia1, WANG Yubing2,*(), TIAN Jin3, MAO Zhaojun1, DU linlin1   

  1. 1. Institute of Systems Engineering, Academy of Military Sciences, Beijing 100020, China
    2. Unit of 93236 of PLA, Beijing 100085, China
    3. Engineering University of PAP, Xi’an 710086, Shaanxi, China
  • Received:2022-02-22 Online:2023-06-30

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