自适应序贯平差及其应用

基于自适应估计原理和抗差M估计原理,提出了自适应序贯平差和自适应抗差序贯平差法,给出了相应的参数估值公式。计算结果证明,自适应序贯平差能有效地控制模型参数先验信息的异常影响,平衡观测值和参数先验值在参数估计中的贡献;自适应抗差序贯平差能有效地抵制观测异常和模型参数先验信息异常扰动对平差结果的影响。

Adaptive Sequential Adjustment and Its Application

The adaptive sequential adjustment and the adaptive robust sequential adjustment are presented based on adaptive filtering and robust estimation principle.The estimation formula of the parameters for both the adaptive sequential adjustment and the adaptive robust sequential adjustment are derived.A numerical example is given.It is shown by the theory and calculation,that the adaptive sequential adjustment can balance the prior model information and the posterior observation information,and the adaptive robust sequential adjustment is not only simple in calculation but also can efficiently control the influences of the prior information disturbing of model parameters and the measurement outliers on the estimated parameters.