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Closed-loop EKF-based Pulsar Navigation for Mars Explorer with Doppler Effects

Published online by Cambridge University Press:  24 March 2014

Jin Liu*
Affiliation:
(College of Information Science and Engineering, Wuhan University of Science and Technology, Wuhan 430081, People's Republic of China) (School of Instrumentation Science and Opto-electronics Engineering, Beihang University (BUAA), Beijing 100191, People's Republic of China)
Jiancheng Fang
Affiliation:
(School of Instrumentation Science and Opto-electronics Engineering, Beihang University (BUAA), Beijing 100191, People's Republic of China)
Xiaolin Ning
Affiliation:
(School of Instrumentation Science and Opto-electronics Engineering, Beihang University (BUAA), Beijing 100191, People's Republic of China)
Jin Wu
Affiliation:
(College of Information Science and Engineering, Wuhan University of Science and Technology, Wuhan 430081, People's Republic of China)
Zhiwei Kang
Affiliation:
(College of Information Science and Engineering, Hunan University, Changsha 410082, People's Republic of China)
*

Abstract

To eliminate the impact of the Doppler effects caused by the motion of the Mars explorer, a novel X-ray pulsar navigation method based on a closed-loop filter is proposed. In the pulsar signal observation period, the Doppler velocity predicted by the orbit dynamic model and the prior information is utilised to compensate the X-ray photon time-of-arrival (TOA). However, because of the error in prior information, there is a bias caused by the Doppler compensation in the pulse time-of-arrival. The pulse TOA bias and the Mars explorer's state estimation error are correlated, which results in the decline of the Kalman filter performance. To deal with this problem, we build the TOA measurement model with respect to the state estimation error, and utilise the closed-loop extended Kalman filter (EKF) as the navigation filter, where the predicted state error is adopted as the state estimation. The simulation results demonstrate the feasibility, real-timeliness and effectiveness of the proposed navigation method. The navigation method based on the closed-loop EKF using the measurement model with the Doppler effects is more accurate than the traditional one.

Type
Research Article
Copyright
Copyright © The Royal Institute of Navigation 2014 

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