| 赵建昕,笪良龙,徐国军,过武宏.线性等式约束下的纯方位目标运动分析[J].,2014,33(2):120-129 |
| 线性等式约束下的纯方位目标运动分析 |
| Bearings-only target motion analysis under linear equality constraints |
| 投稿时间：2013-04-24 修订日期：2014-03-05 |
| 中文摘要: |
| 对于匀速直线运动的声源目标,为了缩短解算目标运动要素的时间和精度,适应军事决策需要,利用距离特征量,导出了不同时刻间的距离关系,并将距离关系转化为状态变量的两种线性约束,即硬约束和软约束。结合伪线性法,给出了两个新的Kalman滤波算法,在理论上证明了硬约束条件下的状态估计优于软约束条件下的状态估计,软约束条件下的状态估计优于无约束条件下的状态估计。数值模拟和实验验证表明,新方法是可行的,并且随着目标方位方差变大,新算法的收敛时间和精度越来越优于经典算法,说明新方法是有效的。 |
| 英文摘要: |
| In order to shorten the time and precision, and adapt the need of military operation, for a sound source target with constant velocity, which moving along a straight line, using the distance characteristic variable, the distance relation between two different times is derived。 Moreover, the distance relation is transformed as linear constraints of state vector, named as strong constraints and soft constraints, respectively。 Combining them with pseudo linear algorithm, two new algorithms of Kalman filtering are obtained。 In theory, it is proved that the state estimator with soft constraint condition is not better than that with strong constraint condition, while is better than that with unconstraint condition。 The simulation results and experimental verification show that the new methods are feasible and the time and precision of the new algorithms are better than old one, it demonstrates that the new algorithms are effective。 |
| DOI：10.11684/j.issn.1000-310X.2014.02.005 |
| 中文关键词: 纯方位 线性等式约束 目标运动分析 距离特征量 Kalman滤波 |
| 英文关键词: bearings-only linear equality constraints target motion analysis distance characteristic variable Kalman filter |
| 基金项目:“十二五”预研基金项目（No.51303070407），水下测控技术重点实验室资助项目（No.613122） |
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