传统的高斯投影变换采用大地纬度作为变换参数。李厚朴、边少锋等研究了基于等角纬度的高斯投影复变换,金立新给出了实数域的非迭代法的反算变换式。基于非迭代法的高斯投影变换,正反算变换为2套各不相同的变换式及其变换系数,表达冗长...传统的高斯投影变换采用大地纬度作为变换参数。李厚朴、边少锋等研究了基于等角纬度的高斯投影复变换,金立新给出了实数域的非迭代法的反算变换式。基于非迭代法的高斯投影变换,正反算变换为2套各不相同的变换式及其变换系数,表达冗长。本文从数值计算的实用角度出发,正反算变换均采用正算式,反算变换利用正算式迭代计算。算法简明,程序精短,易于在Excel VBA上实现。基于等角纬度的高斯投影变换,变换精度与径差l无关。仅就考虑变换精度而言,无需进行分带投影。The traditional Gaussian projection transformation uses geodetic latitude as the transformation parameter. Li Houpu, Bian Shaofeng, and others studied Gaussian projection complex transformations based on equiangular latitude, and Jin Lixin provided the inverse transformation formula for non-iterative methods in the real number field. The Gaussian projection transformation based on non-iterative method involves two sets of different transformation equations and their transformation coefficients, which are expressed in a lengthy manner. This article starts from the practical perspective of numerical calculation, and both forward and inverse transformations are calculated using forward equations, while inverse transformations are iteratively calculated using forward equations. The algorithm is concise, the program is short, and it is easy to implement on Excel VBA. The Gaussian projection transformation based on equiangular latitude is independent of the transformation accuracy and radial difference l. In terms of transformation accuracy alone, there is no need for band projection.展开更多
考虑到在船舶正常航行过程中采集的辨识数据存在难以满足持续激励的情况,基于多新息最小二乘法(Multi-Innovation Least Square Algorithm,MILS),利用奇异值分解技术处理协方差阵,提出一种改进的MILS船舶模型参数辨识算法。依据某船型...考虑到在船舶正常航行过程中采集的辨识数据存在难以满足持续激励的情况,基于多新息最小二乘法(Multi-Innovation Least Square Algorithm,MILS),利用奇异值分解技术处理协方差阵,提出一种改进的MILS船舶模型参数辨识算法。依据某船型参数进行仿真实验,利用实验数据进行模型参数辨识,对比多新息最小二乘法与改进算法的模型参数辨识结果,并根据辨识得到的参数进行船舶运动预报,验证算法的有效性。仿真结果表明,与多新息最小二乘法相比,改进的MILS辨识算法降低了船舶参数辨识对舵角输入信号的要求,使得在船舶航行过程中的小幅度短暂操舵情况下具有更高的辨识精度,为船舶的航向自适应控制奠定了基础。展开更多
文摘传统的高斯投影变换采用大地纬度作为变换参数。李厚朴、边少锋等研究了基于等角纬度的高斯投影复变换,金立新给出了实数域的非迭代法的反算变换式。基于非迭代法的高斯投影变换,正反算变换为2套各不相同的变换式及其变换系数,表达冗长。本文从数值计算的实用角度出发,正反算变换均采用正算式,反算变换利用正算式迭代计算。算法简明,程序精短,易于在Excel VBA上实现。基于等角纬度的高斯投影变换,变换精度与径差l无关。仅就考虑变换精度而言,无需进行分带投影。The traditional Gaussian projection transformation uses geodetic latitude as the transformation parameter. Li Houpu, Bian Shaofeng, and others studied Gaussian projection complex transformations based on equiangular latitude, and Jin Lixin provided the inverse transformation formula for non-iterative methods in the real number field. The Gaussian projection transformation based on non-iterative method involves two sets of different transformation equations and their transformation coefficients, which are expressed in a lengthy manner. This article starts from the practical perspective of numerical calculation, and both forward and inverse transformations are calculated using forward equations, while inverse transformations are iteratively calculated using forward equations. The algorithm is concise, the program is short, and it is easy to implement on Excel VBA. The Gaussian projection transformation based on equiangular latitude is independent of the transformation accuracy and radial difference l. In terms of transformation accuracy alone, there is no need for band projection.
文摘考虑到在船舶正常航行过程中采集的辨识数据存在难以满足持续激励的情况,基于多新息最小二乘法(Multi-Innovation Least Square Algorithm,MILS),利用奇异值分解技术处理协方差阵,提出一种改进的MILS船舶模型参数辨识算法。依据某船型参数进行仿真实验,利用实验数据进行模型参数辨识,对比多新息最小二乘法与改进算法的模型参数辨识结果,并根据辨识得到的参数进行船舶运动预报,验证算法的有效性。仿真结果表明,与多新息最小二乘法相比,改进的MILS辨识算法降低了船舶参数辨识对舵角输入信号的要求,使得在船舶航行过程中的小幅度短暂操舵情况下具有更高的辨识精度,为船舶的航向自适应控制奠定了基础。
