纯方位三维运动目标跟踪的不可观测性问题  

Unobservability for Three-dimensional Tracking Based on Bearings-only Measurements

作　　者：许志刚[1] 

机构地区：[1]淮海工学院数理科学系

出　　处：《弹道学报》2007年第2期33-36,共4页Journal of Ballistics

基　　金：国家自然科学基金项目(60174028);江苏省2004年"青蓝工程"优秀青年骨干教师基金项目;淮海工学院自然科学基金项目(Z2003016)

摘　　要：针对三维空间作匀速直线运动和匀加速直线运动的目标和观测器,利用适当的数学变换以及线性矩阵方程解的性质,对纯方位系统跟踪的不可观测性问题进行了讨论.当目标在匀速直线运动或匀加速直线运动下,观测器保持匀速直线运动时纯方位跟踪系统解不惟一,目标和观测器都作匀加速直线运动时纯方位跟踪系统仍不能求惟一解,该结论对进一步分析观测器的机动策略具有指导意义.Utilizing the method of mathematic transformation and characteristic of linear matrix equation, the problem of unobservability of a bearings-only target tracking system in noise-free bearings measurements was discussed based on the target and observer traveling in 3-dimensional space with constant velocity or constant acceleration. While target moving at constant velocity or constant acceleration, the calculation of bearings-only tracking system is not unique under the conditions that the observer moves at constant velocity. The calculation is not unique if both the target and the observer traveling in 3-dimensional space with constant acceleration. The theoretical analysis provides the guidelines as to how the observer trajectory should be formulated to a-void unobservable state for bearings-only tracking problem in practice application.

关 键 词：纯方位系统 三维空间 不可观测 匀速直线运动 匀加速直线运动 

分 类 号：TN953[电子电信—信号与信息处理]