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水下GPS系统的稳定性分析
引用本文:蔡艳辉,程鹏飞,王权.水下GPS系统的稳定性分析[J].测绘科学,2012,37(5):30-32,89.
作者姓名:蔡艳辉  程鹏飞  王权
作者单位:1. 中国测绘科学研究院,北京,100039
2. 国家测绘地理信息局,北京,100830
基金项目:国家863项目(2006AA09Z201);国家自然基金项目(40974008)
摘    要:本文针对水下GPS系统的双曲面定位模型,提出了双曲面定位系统的稳定性概念,通过分析双曲面定位的有解条件,指出观测误差与有解条件的矛盾是双曲面稳定性问题产生的根源;给出了两种求解双曲面定位模型的非稳定性区域的方法;通过对双曲面PDOP值计算方法的分析,证明了全局对称点是系统的最不稳定点。

关 键 词:水下GPS定位系统  双曲面定位  系统稳定性  双曲面PDOP值

Stability analysis on underwater GPS positioning system
CAI Yan-hui , CHENG Peng-fei , WANG Quan.Stability analysis on underwater GPS positioning system[J].Science of Surveying and Mapping,2012,37(5):30-32,89.
Authors:CAI Yan-hui  CHENG Peng-fei  WANG Quan
Institution:②(①Chinese Academy of Surveying and Mapping,Beijing 100039,China;②National Administration of Surveying,Mapping and Geoinformation,Beijing 100037,China)
Abstract:Based on hyperbola intersecting model of underwater GPS positioning system,a stability conception of hyperbola positioning was given in details in the paper.Hyperbola model was characterized the solution-existing conditions,which was proved to be the only reason that causes hyperbola positioning system unstable.In this paper,two methods to calculate the unstable area distribution were developed.Finally,a conclusion that the most unstable point in the buoy network is the global symmetric point was deduced by analyzing the hyperbola PDOP method.
Keywords:underwater GPS positioning system  hyperbola intersecting positioning  stability of system  hyperbola PDOP
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