动态最小二乘法及其在动态观测系统中的应用  

APPLICATION OF DYNAMIC LEAST SQUARES TO DYNAMIC MONITORING SYSTEM

作　　者：陶华学[1] 潘行庄[2] 

机构地区：[1]山东矿业学院 [2]上海交通大学

出　　处：《煤炭学报》1991年第4期21-32,共12页Journal of China Coal Society

基　　金：国家自然科学基金

摘　　要：传统的最小二乘法是一种处理观测数据的有效方法,它用于许多方面。但它却是从静态观点出发,把一切观测量视为同一时刻、同一状态下的静态观测量而参与处理。在现代地壳运动(包括矿山开采引起的地表移动)中,观测对象是运动的,观测量是随时间变化而变化的,在不同时刻,外界环境状态对观测值的影响大小也不同。显然,在动态观测系统中对多期复测量的处理如仍采用不顾及时间参数和状态参数的经典最小二乘法,势必导致处理结果的畸变。为此,我们从运动学观点出发,研究和提出了顾及上述两种参数的动态最小二乘法,用以处理动态观测系统中的动态优化设计和动态数据处理方面的问题。The conventional least squares is an effective method for processing the observed data, which has been applied in many fields.However, it is based on static point of view, i.e. all the observed data are regarded as data measured at the same time and the same static state. In modern earth crust movement, including surface movement caused by mine exploitation, the objects to be measured are dynamic, and the data to be measured change with time,and the effect of environmental state on the observed data also change with time. It is obvious, if the classic least squares method, which does not take into consideration of time and state factors, is used to deal with the observations, some distortions would appear in the results. For this we have studied and proposed a Dynamic Least Squares method, which takes into consideration the above-mentioned parameters, and is used to optimize design and to process data measured by dynamic measuring system.

关 键 词：地表 移动 矿山 观测 最小二乘法 

分 类 号：TD326[矿业工程—矿井建设]