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改进的遗传算法在GPS基线解算上的研究
引用本文:刘智敏.改进的遗传算法在GPS基线解算上的研究[J].测绘科学,2008,33(5).
作者姓名:刘智敏
作者单位:山东科技大学地球信息科学与工程学院,山东青岛,266510
摘    要:遗传算法(GA)处理数值优化计算问题具有的简单通用、并行、稳健等特点,因此应用于高精度GPS定位的基线解算过程。针对双差模糊度的整数域和基线向量的实数域解的特性,进行了GA算法改进,包括实数编码的改进、遗传算子及其控制参数等算法设计,提出了基于非线性最小二乘准则的GPS相对定位同步解算基线向量和双差模糊度的优化搜索新方法,避免了分步解算模糊度中对浮点解的依赖性,首次实现了大范围、高精度、整数实数不同域上的同步求解,提高了GPS相对定位的稳定性,也体现了遗传算法的优越性。算例表明改进的实数编码遗传算法对同步解算GPS相对定位是可行有效的。

关 键 词:改进的遗传算法  GPS载波相位相对定位  非线性最小二乘  改进的实数编码

Application of improved genetic algorithms on GPS baseline resolution
LIU Zhi-min.Application of improved genetic algorithms on GPS baseline resolution[J].Science of Surveying and Mapping,2008,33(5).
Authors:LIU Zhi-min
Abstract:Because of some advantages,such as simpleness,parallel and robustness on resolving numerical value optimization problems,genetic algorithms(GA) were improved and applied on GPS baseline resolution.Aimed at the integer nature of double difference ambiguities and the real nature of baseline coordinates,the coded methods of GA were improved in order to satisfy the solution sets characteristic of GPS positioning.And then the corresponding genetic operators and control parameters were modified.A method to solve the GPS relative positioning synchronously was proposed based on non-Linear least-square principle.So the dependence on the accuracy of float solution was avoided,and the improved GA helped to enhance the search algorithm success rate.Through a large number of cases,the tests of the proposed method were practiced and it was verified that this improved GA were superior to GPS carrier phase relative positioning resolution on stability and efficiency.
Keywords:the improved genetic algorithms  GPS relative positioning on carrier phase  non-linear least-square principle  the improved-real code
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