基于同伦方法的非线性测量模型参数估计

Nonlinear Surveying Model Parameters Estimation Based on Homotopy Arithmetic

提出了非线性模型参数稳健估计的同伦算法和带约束非线性模型参数估计的同伦算法,推导了相应的非线性同伦算法的函数模型。算例计算结果表明,所提出的算法对初值要求不高,算法收敛,计算结果精度较好,是非线性测量模型参数估计的一种有效方法。

Two new methods for homotopy nonlinear robust estimation method and homotopy restricted-nonlinear method are proposed. Moreover, the corresponding nonlinear functional models for the two methods have also been deduced accurately. Numerical experiment results show that the methods developed have low requirement for the initial value, with fast convergence speed and better precision, which is an effective method in the nonlinear surveying model parameter estimation.