The classical elastic impedance （EI） inversion method, however, is based on the L2-norm misfit function and considerably sensitive to outliers, assuming the noise of the seismic data to be the Guassian-distribution....The classical elastic impedance （EI） inversion method, however, is based on the L2-norm misfit function and considerably sensitive to outliers, assuming the noise of the seismic data to be the Guassian-distribution. So we have developed a more robust elastic impedance inversion based on the Ll-norm misfit function, and the noise is assumed to be non-Gaussian. Meanwhile, some regularization methods including the sparse constraint regularization and elastic impedance point constraint regularization are incorporated to improve the ill-posed characteristics of the seismic inversion problem. Firstly, we create the Ll-norm misfit objective function of pre-stack inversion problem based on the Bayesian scheme within the sparse constraint regularization and elastic impedance point constraint regularization. And then, we obtain more robust elastic impedances of different angles which are less sensitive to outliers in seismic data by using the IRLS strategy. Finally, we extract the P-wave and S-wave velocity and density by using the more stable parameter extraction method. Tests on synthetic data show that the P-wave and S-wave velocity and density parameters are still estimated reasonable with moderate noise. A test on the real data set shows that compared to the results of the classical elastic impedance inversion method, the estimated results using the proposed method can get better lateral continuity and more distinct show of the gas, verifying the feasibility and stability of the method.展开更多
为提高机器人动力学参数辨识的准确性,提出了一种基于迭代加权最小二乘(Iterative Reweighted Least Squares,IRLS)算法的辨识方法。首先推导了机器人的线性动力学模型,随后提出了一种改进摩擦模型,并设计了改进傅里叶级数作为激励轨迹...为提高机器人动力学参数辨识的准确性,提出了一种基于迭代加权最小二乘(Iterative Reweighted Least Squares,IRLS)算法的辨识方法。首先推导了机器人的线性动力学模型,随后提出了一种改进摩擦模型,并设计了改进傅里叶级数作为激励轨迹采集数据。为提升动力学参数辨识的准确性,在加权最小二乘法基础上进行改进,提出了IRLS算法对动力学参数进行辨识。最后以六自由度机器人为试验对象,进行了参数辨识试验。结果表明,基于IRLS算法的辨识方法与加权最小二乘法相比,前3个关节力矩误差的均方根(Root Mean Square,RMS)值降低了13.28%,后3个关节力矩误差的RMS值降低了28.57%,6个关节力矩误差的RMS值平均降低了17.15%,证明了基于IRLS算法的辨识方法的有效性。展开更多
基金Projects(U1562215,41674130,41404088)supported by the National Natural Science Foundation of ChinaProjects(2013CB228604,2014CB239201)supported by the National Basic Research Program of China+1 种基金Projects(2016ZX05027004-001,2016ZX05002006-009)supported by the National Oil and Gas Major Projects of ChinaProject(15CX08002A)supported by the Fundamental Research Funds for the Central Universities,China
文摘The classical elastic impedance （EI） inversion method, however, is based on the L2-norm misfit function and considerably sensitive to outliers, assuming the noise of the seismic data to be the Guassian-distribution. So we have developed a more robust elastic impedance inversion based on the Ll-norm misfit function, and the noise is assumed to be non-Gaussian. Meanwhile, some regularization methods including the sparse constraint regularization and elastic impedance point constraint regularization are incorporated to improve the ill-posed characteristics of the seismic inversion problem. Firstly, we create the Ll-norm misfit objective function of pre-stack inversion problem based on the Bayesian scheme within the sparse constraint regularization and elastic impedance point constraint regularization. And then, we obtain more robust elastic impedances of different angles which are less sensitive to outliers in seismic data by using the IRLS strategy. Finally, we extract the P-wave and S-wave velocity and density by using the more stable parameter extraction method. Tests on synthetic data show that the P-wave and S-wave velocity and density parameters are still estimated reasonable with moderate noise. A test on the real data set shows that compared to the results of the classical elastic impedance inversion method, the estimated results using the proposed method can get better lateral continuity and more distinct show of the gas, verifying the feasibility and stability of the method.
文摘为提高机器人动力学参数辨识的准确性,提出了一种基于迭代加权最小二乘(Iterative Reweighted Least Squares,IRLS)算法的辨识方法。首先推导了机器人的线性动力学模型,随后提出了一种改进摩擦模型,并设计了改进傅里叶级数作为激励轨迹采集数据。为提升动力学参数辨识的准确性,在加权最小二乘法基础上进行改进,提出了IRLS算法对动力学参数进行辨识。最后以六自由度机器人为试验对象,进行了参数辨识试验。结果表明,基于IRLS算法的辨识方法与加权最小二乘法相比,前3个关节力矩误差的均方根(Root Mean Square,RMS)值降低了13.28%,后3个关节力矩误差的RMS值降低了28.57%,6个关节力矩误差的RMS值平均降低了17.15%,证明了基于IRLS算法的辨识方法的有效性。
