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

doi:10.12382/bgxb.2022.0104

Abstract

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

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.

Figures/Tables 11

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

Fig.2 Active localization with one transmitter and multiple receivers

Fig.3 Optimal configuration based on D-optimality criterion

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

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

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

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

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

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

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

Fig.11 Active localization optimization of aircraft swarm

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