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自校正解耦融合Kalman滤波器及其收敛性

Self-tuning Decoupled Fusion Kalman Filter and Its Convergence

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【作者】 王强王伟玲邓自立

【Author】 WANG Qiang,WANG Wei-ling,DENG Zi-li(Department of Atomation,Heilongjiang University,Harbin 150080,P.R.China)

【机构】 黑龙江大学自动化系

【摘要】 对带未知噪声统计的多传感器系统,提出了基于相关方法的噪声统计在线估值器,进而提出了自校正Riccati方程和自校正Lyapunov方程。在按分量标量加权线性最小方差最优信息融合准则下,提出了自校正分量解耦融合Kalman滤波器,并用动态误差系统分析(DESA)方法证明了它收敛于最优分量解耦融合稳态Kalman滤波器,因而具有渐近最优性,它的精度比每个局部自校正Kalman滤波器精度高,且算法简单,便于实时应用。一个目标跟踪系统的仿真例子说明了其有效性。

【Abstract】 For the multisensor systems with unknown noise statistics,the on-line noise statistics estimators are presented based on the correlated method,and the self-tuning Riccati equation and Lyapunov equation are also presented.Under the linear minimum variance optimal information fusion criterion weighted by scalars for components,a self-tuning component decoupled fusion Kalman filter is presented,and it is proved by the dynamic error system analysis(DESA) method that it converges to the optimal component decoupled fusion steady-state Kalman filter,so that it has the asymptotic optimality.Its accuracy is higher than that of each local self-tuning Kalman filter,moreover algorithm is simple,and is suitable for real time applications.A simulation example for a target tracking system shows its effectiveness.

【基金】 国家自然科学基金(60874063)资助
  • 【文献出处】 科学技术与工程 ,Science Technology and Engineering , 编辑部邮箱 ,2009年04期
  • 【分类号】TN713
  • 【被引频次】3
  • 【下载频次】120
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