基于拟牛顿方法的非线性求解及应用  

A Non-Linear Solution Method Based on Quasi-Newton Algorithm with Application

作　　者：崔书华[1,2] 刘军虎[1,2] 宋卫红[1,2] 胡绍林[2,3] 

机构地区：[1]宇航动力学国家重点实验室,陕西西安710043 [2]中国西安卫星测控中心,陕西西安710043 [3]西安理工大学自动化与信息工程学院,陕西西安710047

出　　处：《上海航天》2013年第3期16-18,64,共4页Aerospace Shanghai

基　　金：国家自然科学基金(61074077;11026224)

摘　　要：针对某测量任务中以两套一主三副测量体制联测距离和变化率为对象,给出了拟牛顿求解方法。通过测量梯度的变化,构造了一目标函数的模型使之快速收敛。任务实测数据计算结果显示:该法解决了非线性求解问题,为任务提供了有效的技术支持。The quasi-Newton algorithm was put forward when the joint measurement of the distance and its changing rate for the two sets of measurement system with one master device and three secondary devices in some mission in this paper. The model of the objective function which could be quickly convergent by means of grad＇s variation was established. The computation results for the real data in the mission showed that this method could be used to deal with non-linear solution and supplied the technical support for future missions.

关 键 词：多测速系统 拟牛顿法 数据处理 数据分析 

分 类 号：V557.3[航空宇航科学与技术—人机与环境工程]