https://doi.org/10.1140/epjd/e2015-60372-4
Regular Article
High precision estimation of inertial rotation via the extended Kalman filter
1 College of Mathematics & Computer Science, Shanxi Normal University, Linfen 041000, P.R. China
2 Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, P.R. China
3 University of Chinese Academy of Sciences, Beijing 100049, P.R. China
a
e-mail: ljliu@amss.ac.cn
Received: 24 June 2015
Received in final form: 9 October 2015
Published online: 24 November 2015
Recent developments in technology have enabled atomic gyroscopes to become the most sensitive inertial sensors. Atomic spin gyroscopes essentially output an estimate of the inertial rotation rate to be measured. In this paper, we present a simple yet efficient estimation method, the extended Kalman filter (EKF), for the atomic spin gyroscope. Numerical results show that the EKF method is much more accurate than the steady-state estimation method, which is used in the most sensitive atomic gyroscopes at present. Specifically, the root-mean-squared errors obtained by the EKF method are at least 103 times smaller than those obtained by the steady-state estimation method under the same response time.
Key words: Atomic Physics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2015