| Citation: | LI Zhaoming, YANG Wenge, DING Dan, et al. Distributed coordinated navigation filtering algorithm for cooperative target by multi-satellite[J]. Journal of Beijing University of Aeronautics and Astronautics, 2018, 44(3): 462-469. doi: 10.13700/j.bh.1001-5965.2017.0150(in Chinese)
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A distributed spherical simplex-radial cubature quadrature Kalman filter (DSSRCQKF) was proposed aiming at the coordinated navigation problem for cooperative target by multi-satellite on orbit. The spherical simplex rule and second-order Gauss-Laguerre quadrature rule were adopted to calculate the spherical integral and radial integral, respectively, in order to calculate the Gaussian weighted integral in nonlinear Kalman filter, and a novel spherical simplex-radial cubature quadrature rule was put forward. Combined with the nonlinear cooperative navigation mathematical model, the above rule is embedded into the distributed Kalman filter framework to achieve the DSSRCQKF, in which the satellite only needs to communicate with its neighbors. The consensus estimation of the orbital state of the target satellite is achieved using the distributed data fusion method, thus avoiding the higher communication and computational burden in centralized filter. The simulation results show that, compared with the distributed extended Kalman filter, DSSRCQKF improves the real-time positioning accuracy by 11 m and the velocity accuracy by 0.02 m/s, which verifies the validity of the proposed algorithm.
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