Abstract
An improved adaptive Huber filter algorithm is proposed to model error and measurement noise uncertainty in this work. The adaptive algorithm for model error is obtained by using an upper bound for the state prediction covariance matrix with augment of chi-square statistical hypothesis test in case of filter deteriorated by wrong residual information. The measurement noise is estimated at each filter step by minimizing a criterion function which was original from Huber filter. A recursive algorithm is provided for solving the criterion function. The proposed adaptive filter algorithm was successfully implemented in radar navigation system for spacecraft formation flying in high earth orbits with real orbit perturbations and non-Gaussian random measurement error. Simulation results indicated that the proposed adaptive filter performed better in robustness and accuracy compared with previous adaptive algorithms.
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