非线性模型的一阶偏导数确定方法及其在TLS精度评定中的应用

摘要

基于整体最小二乘(TLS)数据处理理论以及TIS迭代算法,利用泰勒公式确定非线性模型一阶偏导数,推导了其误差量级.并将该方法应用于TLS精度评定,提出了检验结果可靠性的方法,最后通过实验验证了该方法的可行性.%On the basis of the total least-squares (TLS) data processing theory and an iterative algorithm for TLS, first-order partial derivative of the nonlinear model was determined by using Taylor formula and the error magnitude of the results was derivated. The method was applied to the TLS precision evaluation, and the method for reliability testing is proposed. The experimental results verify the feasibility of the method in TLS precision evaluation.