Optimal sequential and distributed fusion for state estimation in cross-correlated noise

  • Authors:
  • Liping Yan;X. Rong Li;Yuanqing Xia;Mengyin Fu

  • Affiliations:
  • -;-;-;-

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2013

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Abstract

This paper is concerned with the optimal state estimation for linear systems when the noises of different sensors are cross-correlated and also coupled with the system noise of the previous step. We derive the optimal linear estimation in a sequential form and for distributed fusion. They are both compared with the optimal batch fusion, suboptimal batch fusion, suboptimal sequential fusion, and the suboptimal distributed fusion where the cross-correlation between the noises are neglected. The comparison is in terms of theoretical filter mean square error and the real root mean square error. Simulation on a target tracking example is given to show the effectiveness of the presented algorithms.