Levenberg-Marquard(tLM)算法与最小二乘(Least Square,LS)方法关系密切,标度总体最小二乘(Scaled Total Least Square,STLS)是最小二乘,数据最小二乘(Data Least Square,DLS)与总体最小二乘(Total Least Square,TLS)的统一与推广,但是...Levenberg-Marquard(tLM)算法与最小二乘(Least Square,LS)方法关系密切,标度总体最小二乘(Scaled Total Least Square,STLS)是最小二乘,数据最小二乘(Data Least Square,DLS)与总体最小二乘(Total Least Square,TLS)的统一与推广,但是它与LM算法的关系尚不清楚。给出了一种求STLS解的算法及其子空间解释与拓扑解释,利用矩阵分解揭示了LM算法与STLS的密切关系,结果表明:阻尼因子使得LS解转变为STLS解;噪声子空间的剔除与系数矩阵条件数的控制保证了LM算法的稳健性与收敛速度;STLS的鲁棒性保障了LM算法处理过参数化问题的能力。展开更多
Digital sun sensor is one of the most important sensors used in the Attitude Determination System(ADS)of the satellite.Due to the harsh environmental conditions that exist in the space,various distortions may occur in...Digital sun sensor is one of the most important sensors used in the Attitude Determination System(ADS)of the satellite.Due to the harsh environmental conditions that exist in the space,various distortions may occur in the sun sensor optical system that lead to the reduced accuracy of this equipment.So,it is necessary to recalibrate the optical parameters of the aforementioned sensors.For this purpose,first a novel attitude independent error model is proposed for the SS-411 sun sensor that includes the central point of the CCD array,installation error,filter thickness and sensor misalignment.So,the mutual interfaces between the sensor parameters are considered in the developed model.In order to extract the sensor parameters,a nonlinear optimization technique called the Levenberg–Marquardt is applied to the developed model as a batch algorithm.In addition,the Extended Kalman Filter(EKF)and the Unscented Kalman Filter(UKF)have been utilized as sequential strategies.It will be shown that by considering a worst case of variation amount for sensor parameters,an accuracy improvement of about 17°is achieved by the developed calibration algorithms.Comparison between the developed algorithms represents that UKF has higher accuracy,shorter time convergence but higher computational load.展开更多
本文针对小波网络现有学习算法的不足 ,把 L evenberg- Marquardt算法 (简称 L M算法 )和最小二乘算法有机地结合在一起 ,提出了一种新的小波网络混合学习算法 .在该混合算法中 L M算法用来训练小波网络的非线性参数 ,而最小二乘算法用...本文针对小波网络现有学习算法的不足 ,把 L evenberg- Marquardt算法 (简称 L M算法 )和最小二乘算法有机地结合在一起 ,提出了一种新的小波网络混合学习算法 .在该混合算法中 L M算法用来训练小波网络的非线性参数 ,而最小二乘算法用来训练线性参数 .最后以辩识一个混沌系统为例进行了数值仿真 ,并与改进的 BP算法和单纯 L M算法进行了比较 。展开更多
文摘Levenberg-Marquard(tLM)算法与最小二乘(Least Square,LS)方法关系密切,标度总体最小二乘(Scaled Total Least Square,STLS)是最小二乘,数据最小二乘(Data Least Square,DLS)与总体最小二乘(Total Least Square,TLS)的统一与推广,但是它与LM算法的关系尚不清楚。给出了一种求STLS解的算法及其子空间解释与拓扑解释,利用矩阵分解揭示了LM算法与STLS的密切关系,结果表明:阻尼因子使得LS解转变为STLS解;噪声子空间的剔除与系数矩阵条件数的控制保证了LM算法的稳健性与收敛速度;STLS的鲁棒性保障了LM算法处理过参数化问题的能力。
文摘Digital sun sensor is one of the most important sensors used in the Attitude Determination System(ADS)of the satellite.Due to the harsh environmental conditions that exist in the space,various distortions may occur in the sun sensor optical system that lead to the reduced accuracy of this equipment.So,it is necessary to recalibrate the optical parameters of the aforementioned sensors.For this purpose,first a novel attitude independent error model is proposed for the SS-411 sun sensor that includes the central point of the CCD array,installation error,filter thickness and sensor misalignment.So,the mutual interfaces between the sensor parameters are considered in the developed model.In order to extract the sensor parameters,a nonlinear optimization technique called the Levenberg–Marquardt is applied to the developed model as a batch algorithm.In addition,the Extended Kalman Filter(EKF)and the Unscented Kalman Filter(UKF)have been utilized as sequential strategies.It will be shown that by considering a worst case of variation amount for sensor parameters,an accuracy improvement of about 17°is achieved by the developed calibration algorithms.Comparison between the developed algorithms represents that UKF has higher accuracy,shorter time convergence but higher computational load.
文摘本文针对小波网络现有学习算法的不足 ,把 L evenberg- Marquardt算法 (简称 L M算法 )和最小二乘算法有机地结合在一起 ,提出了一种新的小波网络混合学习算法 .在该混合算法中 L M算法用来训练小波网络的非线性参数 ,而最小二乘算法用来训练线性参数 .最后以辩识一个混沌系统为例进行了数值仿真 ,并与改进的 BP算法和单纯 L M算法进行了比较 。
