%0 Journal Article %T Robust filtering with randomly delayed measurements and its application to ballistic target tracking in boost phase %A Naigang Cui %A Wutao Qin %A Xiaogang Wang %J Transactions of the Institute of Measurement and Control %@ 1477-0369 %D 2019 %R 10.1177/0142331218796139 %X Motivated by the performance degradation of High-degree Cubature Kalman Filtering (HCKF) in coping with randomly delayed measurements in non-Gaussian system, a novel robust filtering named as Randomly Delayed High-degree Cubature Huber-based Filtering (RD-HCHF) is proposed in this paper. At first, the system model is re-written by the Bernoulli random variables to describe the randomly delayed measurements. Then, the Randomly Delayed HCKF (RD-HCKF) is derived based on the rewritten system model and 5th-degree spherical-radial cubature (SRC) rule. In order to enhance the robustness of the filter in glint noise case, the measurement update of RD-HCKF is modified by the Huber technique, which is essentially an M-estimator. Therefore, the proposed RD-HCHF is not only robust to the randomly delayed measurements, but also robust to the glint noise. In addition, the RD-HCHF is applied to the ballistic target tracking in boost phase, and the Gravity-Turn (GT) model is taken as the target model. Finally, the simulation is conducted and the tracking performance of RD-HCHF is compared with that of HCKF, RD-HCKF and High-degree Cubature Huber-based Filtering (HCHF). The results clearly confirm the superiority of the RD-HCHF %K Cubature Kalman filtering %K robust filtering %K target tracking %K glint noise %K randomly delayed measurements %U https://journals.sagepub.com/doi/full/10.1177/0142331218796139