Abstract
In this paper, a new passive modified iterated extended Kalman filter (MIEKF) using the combined set of bearings and frequency measurements in Earth Centered Inertial (ECI) coordinate is proposed. A new measurement update equation of MIEKF is derived by modifying the objective function of the Gauss-Newton iteration. A new gain equation and iteration termination criteria are acquired by applying the property of the maximum likelihood estimate. The approximated second order linearized state propagation equation, Jacobian matrix of state transfer and measurement equations are derived in satellite two-body movement. The tracking performances of MIEKF, iterated extended Kalman filter (IEKF) and extended Kalman filter (EKF) are compared via Monte Carlo simulations through simulated data from STK8.1. Simulation results indicate that the proposed MIEKF is possible to passively track low earth circular orbit satellite by a high earth orbit satellite, and has higher tracking precision than the IEKF and EKF.
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This work was partly supported by the National Natural Science Foundation of China (No. 61104196), the China Specialized Research Fund for the Doctoral Program of Higher Education (No. 200802881017), Nanjing University of Science and Technology Research Funding (No. 2010ZYTS051), and the ‘Zijin star’ Research Funding (No. AB41381).
Panlong WU received his B.E. degree from the Department of Electronics, Zhengzhou University, in 2000, M.S. and Ph.D. degrees from the College of Aeronautics and College of Astronautics, Northwestern Polytechnical University, China, in 2003 and 2006, respectively. He is a visiting scholar in Institute for Advanced Learning and Research (CMS), Virginia Polytechnic Institute and State University (VT), USA, in 2012. He is currently an associate professor of Department of Automation, Nanjing University of Science and Technology. His research interests include signal processing, integrated navigation and target tracking.
Yadong CAI received his B.E. degree in Automation from Nanjing University of Science and Technology, China, in 2009. he is currently working toward the MS’s degree in Control Theory and Control Engineering at Nanjing University of Science and Technology, China. His research interests include signal processing, and robotics.
Yuming BO received his Ph.D. degree from the Department of Automation, Nanjing University of Science and Technology, China, in 2003. He is currently a professor in Nanjing University of Science and Technology. His research interests include signal processing, and fire control.
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Wu, P., Cai, Y. & Bo, Y. Passive tracking from the combined set of bearings and frequency measurements by single satellite. J. Control Theory Appl. 10, 483–489 (2012). https://doi.org/10.1007/s11768-012-1013-y
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DOI: https://doi.org/10.1007/s11768-012-1013-y