时变最优条件数的目标要素解算方法

摘要

Bearings-only target tracking is a representative nonlinear problem,pseudo linear target tracking filter is a sort of important method solving this problem in theory and engineering. To the observability question of system,which produced by pseudo linearizing the measured model of bearings-only,a new method solving target elements is presented which using time-varying optimal condition number. In theory,the optimal multiplier factor is obtained to improve the observability of system. The new method is better than the classical pseudo-linear method,which verified using results of both numerical simulation and sea experiment in system condition number and convergence probability of parameter estimators.%纯方位目标跟踪是一个典型的非线性问题,伪线性跟踪估计器是理论和工程上解决该问题的一类重要方法.针对纯方位观测模型伪线性化后,系统存在弱可观测性问题,提出了一种时变最优条件数的目标要素解算新方法,理论上给出了一个改善系统可观测性的最优乘数因子.在系统条件数和参数估计的收敛概率两个方面,数值仿真和实验数据验证都表明新方法要优于经典纯方位伪线性化方法.