Optimization of measurements for inverse problem

摘要

A new method for obtaining he optimal experimental/measurement procedure for general estimation problems is proposed. TRhis approach is based on the framework of the Kalman filter technique. The eigen values of a posteriori estimate error covariance matrix depend on measurement conditions, such as geometries of specimens, structure of experimental sets, locations of measurements and types of measurements. The optimal measurement condition is obtained byminimizing the maximum eigen value of a posteriori estimate error covariance matrix. Candidates of measurement condition are firstly put up, and cominational optimization method is carried out. Some examples are presented to demonstrate that the present method could be utilized effectively for designing estimations system.