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Two-stage strong tracking differential Kalman filter for X-ray pulsar navigation with coloured noise
Received date: 2021-07-15
Revised date: 2021-07-29
Accepted date: 2021-08-05
Online published: 2021-08-25
To improve the robustness of X-ray pulsar navigation to colored noise and ephemeris errors， a Two-stage Strong Tracking Differential Kalman Filter （TSTDKF） is designed. First， based on an analysis of the navigation principle， the error transfer relationship of the ephemeris error of central celestial body to the navigation result is analyzed， and the Extended Kalman Filter （EKF） is used for simulation verification. On the same orbit， the gravitational perturbation data of the third celestial body is analyzed using the gravitational perturbation model， which proves that the noise is colored noise. Based on the above conclusions， a bias-free filter of ordinary Two-stage Kalman Filter （TKF） is designed as an improved differential filter to reduce the impact of colored noise on the navigation system. In TSTDKF’s separate bias filter， multiple adaptive adjustment factors are constructed based on observation residuals to enhance its tracking performance. The two filters together form the two parallel filters of TSTDKF. Simulation experiments prove that the positioning performance of TSTDKF is 56.49% and 35.18% better than that of EKF and TKF， respectively， and the velocity of TSTDKF is also 27.66% and 17.07% better than that of EKF and TKF， respectively. Its tracking accuracy of ephemeris error is also overall better than that of TKF.
Qiang XU , Hongliang CUI , Bangping DING , Aigang ZHAO , Yang ZHAO . Two-stage strong tracking differential Kalman filter for X-ray pulsar navigation with coloured noise[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023 , 44(3) : 526120 -526120 . DOI: 10.7527/S1000-6893.2021.26120
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