基于EKF和UKF算法非均匀介质热物性参数重建

In this paper, the unscented Kalman filter (UKF) is used for the first time to solve the inverse problem of one-dimensional dielectric thermophysical properties. In addition, this paper also studies the inversion of thermal conductivity in one-dimensional media using extended Kalman filter (EKF). The forward model is introduced firstly. Basic principles of the EKF and UKF technique are also introduced in detail. In order to examine the feasibility of the proposed algorithms, the space-dependent and time-dependent thermal conductivities in media are reconstructed by the UKF and EKF techniques, respectively. All the reconstruction results indicate that thermal conductivities of media can be retrieved effectively by the EKF and UKF techniques. Moreover, the small measurement error covariance R should be selected to decrease the time lag of the reconstructed results.