水下电偶极子跟踪定位系统可观测性分析

Observability Analysis of Underwater Electric Dipole Tracking and Positioning System

摘要:

基于非线性系统可观测性分析理论，分析了在单观测站条件下，水下电偶极子跟踪定位系统的可观测性，同时也在系统可观测的基础上分析了电偶极子的水平位置、垂直深度、电偶极子源强度对系统可观测度的影响。之后又研究了双观测站与单观测站条件下，系统的可观测度差别，及双观测站之间的距离对系统可观测度的影响。结果表明：基于单观测站的水下电偶极子跟踪定位系统是可观测的，且电偶极子水平位置和垂直深度的可观测度分别与水平和垂直电偶极子源强度大小相关；双观测站系统的可观测度大于单观测站系统的可观测度，但是双观测站之间的间距应参考目标电场辐射范围来确定。

Abstract:

Based on the observability analysis theory of nonlinear systems，the observability of underwater electric dipole tracking and positioning system under a single observation station is analyzed. And on the basis that the system is observable，the influence of electric dipole’s horizontal position，vertical depth and source intensity on the observability of the system is also analyzed. Then，the observability difference between two-station system and single station system is analyzed，as well as the influence of the distance between two stations on the system’s observability. The results show that the underwater electric dipole tracking and positioning system based on a single observation station is observable，and the observabilities of the horizontal position and vertical depth of the electric dipole are respectively related to the magnitudes of the source intensity of horizontal and vertical electric dipole. The observability of a two-station system is greater than that of a single-station system，but the distance between the two stations should be determined by the target’s electric field radiation range.