Implicit Augmented UKF and Its Application to the Stellar Refraction Navigation
Publication: Journal of Aerospace Engineering
Volume 31, Issue 4
Abstract
Stellar refraction navigation is an effective method for autonomous celestial navigation of satellites. Compared with the refraction apparent height, a better navigation performance can be achieved via the stellar refraction angle. Nevertheless, this causes the measurement model to become an implicit function, in which the measurements and states are restricted to implicit equations. The available filters, applied to a system with an implicit measurement model, are based on linearization, which needs to compute the Jacobian matrices and introduces linearization errors. In this paper, a type of unscented Kalman filter (UKF), referred to as an implicit augmented unscented Kalman filter (IAUKF), is proposed, in which the state is augmented via the measurement. The zero is regarded as the equivalent measurement vector for updating the estimation of the augmented state as well as its covariance matrix. The performance of the IAUKF is tested and demonstrated via simulation. Simulations reveal that the navigation performance of the IAUKF is better than that of the implicit extended Kalman filter (IEKF), the implicit augmented extended Kalman filter (IAEKF), the iterative IEKF, and the implicit UKF.
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Acknowledgments
The research presented in this paper has been supported by the National Natural Science Foundation of China (61233005, 61503013) and the National Basic Research Program of China (973 Program 2014CB744202). The authors wish to express their gratitude to all members of the Science & Technology on Inertial Laboratory and the Fundamental Science on Novel Inertial Instrument & Navigation System Technology Laboratory for their valuable comments.
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Published In
Journal of Aerospace Engineering
Volume 31 • Issue 4 • July 2018
Copyright
©2018 American Society of Civil Engineers.
History
Received: Aug 2, 2017
Accepted: Jan 8, 2018
Published online: Apr 25, 2018
Published in print: Jul 1, 2018
Discussion open until: Sep 25, 2018
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