基于UKF的单站无源定位与跟踪算法
doi: 10.3724/SP.J.1146.2007.00264
An Algorithm Based on UKF for Single Observer Passive Location and Tracking
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摘要: 单站无源定位与跟踪系统观测方程的非线性性决定了定位与跟踪中必须采用非线性滤波技术。MGEKF等非线性滤波方法本质上都属于扩展卡尔曼滤波算法,都存在由于线性化误差而导致滤波器稳定性差等问题。基于unscented 变换的UKF算法不存在线性化误差,具有更好的稳定性,但由于协方差估计不足,导致收敛速度较慢。该文基于UKF算法提出了一种迭代UKF(IUKF)算法,通过对状态和协方差的迭代估计,改善了UKF协方差估计不足的问题。仿真结果表明在不同的参数测量精度条件下,IUKF算法既保持了较好的稳定性又提高了算法的跟踪精度和收敛速度。Abstract: Nonlinear filtering algorithms must be applied to single observer passive location and tracking system for the nonlinearity of its observation equations. MGEKF and other nonlinear filters are belong to EKF in essence, while the EKF-like algorithms share the disadvantage of linearization reduce to the unstability of filters. The filter, based on unscented transformation is named UKF, does not need linearization and shows robustness strongly; however, the convergence of UKF is poor for its underestimation of true covariance. An iterated UKF algorithm is developed, and the estimation to the covariance of filter is improved by iterating estimation. Simulation results demonstrate the tracking performance of this algorithm in different conditions.
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[1] Yaakov Bar-Shalom and X Rong Li. ThiagalingamKirubarajan. Estimation with Applications To Tracking andNavigation. New York: John Wiley Sons, Inc. 2001:381-394. [2] Taek L Song and Jason L Speyer. A stochastic analysis of amodified gain extended kalman filter with applications toestimation with bearings only measurements. IEEE Trans. onAutomatic Control, 1985, AC-30(10): 940-949. [3] 郭福成, 李宗华, 孙仲康. 无源定位跟踪中修正协方差扩展卡尔曼滤波算法[J].电子与信息学报.2004, 26(6):917-922浏览 [4] Simon Julier, Jeffrey Uhlmann, and Hugh F. Durrant-Whyte.A new approach for filtering nonlinear systems. Washington,Proceeding of the American Control Conference. June, 1995:1628-1632. [5] Simon Julier, Jeffrey Uhlmann, and Hugh F. Durrant-Whyte.A new method for the nonlinear transformation of means andcovariance in filters and estimators. IEEE Trans. onAutomatic Control, 2000, 45(3): 477-482. [6] Simon J Julier and Jeffrey K Uhlmann. Unscented filteringand nonlinear estimation[J].Proceedings of the IEEE, March.2004, 92(3):401-421 [7] 郭福成. 基于运动学原理的单站无源定位与跟踪关键技术研究. [博士论文]. 长沙:国防科学技术大学, 2002. [8] 孙仲康, 周一宇, 何黎星. 单多基地有源无源定位技术. 北京:国防工业出版社, 1996 年5 月: 234-290.
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