针对空间监视跟踪环境中对于包含角变量的状态向量估计存在精度较低的缺点,利用Gauss von Mises(GVM)多变量概率密度分布,提出一种基于矩匹配的GVM参数估计方法,并在此基础上改进GVM分布的确定性采样方法,建立针对GVM分布的递推滤波算法...针对空间监视跟踪环境中对于包含角变量的状态向量估计存在精度较低的缺点,利用Gauss von Mises(GVM)多变量概率密度分布,提出一种基于矩匹配的GVM参数估计方法,并在此基础上改进GVM分布的确定性采样方法,建立针对GVM分布的递推滤波算法,该算法充分考虑了流形的内蕴结构,克服了传统滤波方法假设状态向量定义于欧氏空间及采用欧氏空间中高斯分布模型的局限性。仿真结果表明,该滤波算法能有效估计状态变量的后验概率分布,对角变量的估计精度明显优于扩展卡尔曼滤波方法(EKF)。展开更多
In this paper,we present a new method of intelligent back analysis(IBA)using grey Verhulst model(GVM)to identify geotechnical parameters of rock mass surrounding tunnel,and validate it via a test for a main openings o...In this paper,we present a new method of intelligent back analysis(IBA)using grey Verhulst model(GVM)to identify geotechnical parameters of rock mass surrounding tunnel,and validate it via a test for a main openings of−600 m level in Coal Mine“6.13”,Democratic People's Republic of Korea.The displacement components used for back analysis are the crown settlement and sidewalls convergence monitored at the end of the openings excavation,and the final closures predicted by GVM.The non-linear relation between displacements and back analysis parameters was obtained by artificial neural network(ANN)and Burger-creep viscoplastic(CVISC)model of FLAC3D.Then,the optimal parameters were determined for rock mass surrounding tunnel by genetic algorithm(GA)with both groups of measured displacements at the end of the final excavation and closures predicted by GVM.The maximum absolute error(MAE)and standard deviation(Std)between calculated displacements by numerical simulation with back analysis parameters and in situ ones were less than 6 and 2 mm,respectively.Therefore,it was found that the proposed method could be successfully applied to determining design parameters and stability for tunnels and underground cavities,as well as mine openings and stopes.展开更多
文摘针对空间监视跟踪环境中对于包含角变量的状态向量估计存在精度较低的缺点,利用Gauss von Mises(GVM)多变量概率密度分布,提出一种基于矩匹配的GVM参数估计方法,并在此基础上改进GVM分布的确定性采样方法,建立针对GVM分布的递推滤波算法,该算法充分考虑了流形的内蕴结构,克服了传统滤波方法假设状态向量定义于欧氏空间及采用欧氏空间中高斯分布模型的局限性。仿真结果表明,该滤波算法能有效估计状态变量的后验概率分布,对角变量的估计精度明显优于扩展卡尔曼滤波方法(EKF)。
基金Project(32-41)supported by the National Science and Technical Development Foundation of DPR of Korea。
文摘In this paper,we present a new method of intelligent back analysis(IBA)using grey Verhulst model(GVM)to identify geotechnical parameters of rock mass surrounding tunnel,and validate it via a test for a main openings of−600 m level in Coal Mine“6.13”,Democratic People's Republic of Korea.The displacement components used for back analysis are the crown settlement and sidewalls convergence monitored at the end of the openings excavation,and the final closures predicted by GVM.The non-linear relation between displacements and back analysis parameters was obtained by artificial neural network(ANN)and Burger-creep viscoplastic(CVISC)model of FLAC3D.Then,the optimal parameters were determined for rock mass surrounding tunnel by genetic algorithm(GA)with both groups of measured displacements at the end of the final excavation and closures predicted by GVM.The maximum absolute error(MAE)and standard deviation(Std)between calculated displacements by numerical simulation with back analysis parameters and in situ ones were less than 6 and 2 mm,respectively.Therefore,it was found that the proposed method could be successfully applied to determining design parameters and stability for tunnels and underground cavities,as well as mine openings and stopes.
