协方差交叉融合鲁棒Kalman滤波器
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2. 哈尔滨德强商务学院;黑龙江大学
3. 黑龙江大学应用数学所

作者简介:

邓自立

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国家自然科学基金项目


Covariance intersection fusion robust steady-state Kalman filter
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    摘要:

    对于带未知互协方差的两传感器系统, 提出一种协方差交叉(CI) 融合鲁棒稳态Kalman 滤波器, 它关于未知
    互协方差具有鲁棒性. 严格证明了该滤波器的实际精度高于每个局部滤波器的精度, 但低于带已知互协方差的最优
    融合Kalman 滤波器的精度. 基于协方差椭圆给出了精度关系的几何解释. 进一步将上述结果推广到一般多传感器情
    形. 一个跟踪系统的Monte-Carlo 仿真例子表明, 其实际精度接近于带已知互协方差的最优融合器的精度.

    Abstract:

    For two-sensor systems with unknown cross-covariance, a covariance intersection(CI) fusion robust steady-state
    Kalman filter is presented, which has robustness with respect to unknown cross-covariances. It is rigorously proved that its
    the actual accuracy of the fitter is higher than that of each local filter, and is lower than that of the optimal fusion Kalman
    filter with known cross-covariance. The geometric interpretation of the accuracy relations is given based on the covariance
    ellipses. Further, the above results are extended to the multisensor case. A Monte-Carlo simulation example for a tracking
    system shows that its actual accuracy is close to that of the optimal Kalman fuser with known cross-covariance.

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张 鹏, 齐文娟, 邓自立,等.协方差交叉融合鲁棒Kalman滤波器[J].控制与决策,2012,27(6):904-908

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历史
  • 收稿日期:2010-11-12
  • 最后修改日期:2011-03-07
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  • 在线发布日期: 2012-06-20
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