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                    帶時間相關乘性噪聲多傳感器系統的分布式融合估計

                    馬靜 楊曉梅 孫書利

                    馬靜, 楊曉梅, 孫書利. 帶時間相關乘性噪聲多傳感器系統的分布式融合估計. 自動化學報, 2021, 47(x): 1?13 doi: 10.16383/j.aas.c210147
                    引用本文: 馬靜, 楊曉梅, 孫書利. 帶時間相關乘性噪聲多傳感器系統的分布式融合估計. 自動化學報, 2021, 47(x): 1?13 doi: 10.16383/j.aas.c210147
                    Ma Jing, Yang Xiao-Mei, Sun Shu-Li. Distributed fusion estimation for multi-sensor systems with time-correlated multiplicative noises. Acta Automatica Sinica, 2021, 47(x): 1?13 doi: 10.16383/j.aas.c210147
                    Citation: Ma Jing, Yang Xiao-Mei, Sun Shu-Li. Distributed fusion estimation for multi-sensor systems with time-correlated multiplicative noises. Acta Automatica Sinica, 2021, 47(x): 1?13 doi: 10.16383/j.aas.c210147

                    帶時間相關乘性噪聲多傳感器系統的分布式融合估計

                    doi: 10.16383/j.aas.c210147
                    基金項目: 國家自然科學基金(61573132, 61873087), 黑龍江省信息融合估計與檢測重點實驗室資助
                    詳細信息
                      作者簡介:

                      馬靜:黑龍江大學數學科學學院教授. 主要研究方向為信息融合狀態估計. E-mail: majing@hlju.edu.cn

                      楊曉梅:黑龍江大學數學科學學院研究生. 主要研究方向為信息融合狀態估計. E-mail: 15615088651@163.com

                      孫書利:黑龍江大學電子工程學院教授. 主要研究方向為狀態估計, 多傳感器信息融合, 網絡化系統濾波. 本文通信作者. E-mail: sunsl@hlju.edu.cn

                    Distributed Fusion Estimation for Multi-Sensor Systems with Time-Correlated Multiplicative Noises

                    Funds: Supported by National Nature Science Foundation of China (61573132, 61873087), Information Fusion Estimation and Detection Key Laboratory in Heilongjiang Province
                    More Information
                      Author Bio:

                      MA Jing Professor at the School of Mathematics Science, Heilongjia- ng University. Her research interest is information fusion state estimation

                      YANG Xiao-Mei Master student at the School of Mathematics Science, Heilongjiang University. Her research interest is information fusion state estimation

                      SUN Shu-Li Professor at the School of Electronic Engineering, Heilongjiang University. His research interest covers state estimation, multi-sensor information fusion and networked systems filtering. Corresponding author of this paper

                    • 摘要: 本文研究了帶時間相關乘性噪聲多傳感器系統的分布式融合估計問題. 其中時間相關的乘性噪聲滿足一階Gauss-Markov過程. 通過引入虛擬狀態和虛擬過程噪聲, 構建了虛擬狀態的遞推方程. 基于新息分析方法, 分別對系統狀態和虛擬狀態設計了局部一步預報器. 然后基于一步預報器設計了狀態的局部線性濾波器、多步預報器和平滑器. 推導了任意兩個局部狀態估計誤差之間的互協方差矩陣. 進而, 基于線性最小方差意義下的矩陣加權、對角矩陣加權和標量加權融合算法, 給出了相應的分布式融合狀態估值器. 最后, 分析了算法的穩定性. 仿真研究驗證了所提算法的有效性.
                    • 圖  1  分布式矩陣加權融合濾波的位置跟蹤性能

                      Fig.  1  The position tracking performance of distributed fusion filter weighted by matrices

                      圖  2  RMSEs比較圖

                      Fig.  2  Comparisons of RMSEs

                      圖  3  局部濾波、標量加權融合、對角矩陣加權融合、矩陣加權融合和集中式融合濾波的誤差方差

                      Fig.  3  Variances of LFs, SF, DF, MF and CF

                      圖  4  矩陣加權融合預報器、濾波器和平滑器的估計誤差方差

                      Fig.  4  Variances of fusion predictor, filter and smoother weighted by matrices

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                    • 文章訪問數:  104
                    • HTML全文瀏覽量:  49
                    • 被引次數: 0
                    出版歷程
                    • 收稿日期:  2021-02-18
                    • 修回日期:  2021-06-25
                    • 網絡出版日期:  2021-08-16

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