系统工程与电子技术

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基于平方根CKF的多传感器序贯式融合跟踪算法

刘华1, 吴文1, 王世元2   

  1. 1. 南京理工大学近程高速目标探测技术国防重点学科实验室, 江苏 南京 210094;
    2. 西南大学电子信息工程学院, 重庆 400715
  • 出版日期:2015-06-20 发布日期:2010-01-03

Multi-sensor sequential fusion tracking algorithm based on square-root cubature Kalman filter

LIU Hua1, WU Wen1, WANG Shi-yuan2   

  1. 1. Ministerial Key Laboratory of JGMT, Nanjing University of Science and Technology, Nanjing 210094, China;
    2. School of Electronic and Information Engineering, Southwest University, Chongqing 400715, China
  • Online:2015-06-20 Published:2010-01-03

摘要:

为了提高非线性序贯式融合跟踪算法的精度,提出了基于平方根容积卡尔曼滤波器的多传感器序贯式融合跟踪算法。该算法使用三阶容积数值积分原则计算非线性过程的均值和方差,克服了扩展卡尔曼滤波器存在的滤波精度低及平方根无迹卡尔曼滤波器存在的参数复杂的缺点。同时,在滤波递归过程中以协方差平方根矩阵代替协方差矩阵,这样确保了滤波算法的数值稳定性,提高了跟踪的精度。最后用已知弹道系数的再入段弹道跟踪模型对所提算法的性能进行仿真测试。仿真结果表明,所提算法具有很好的跟踪性能,是一种有效的非线性序贯式融合跟踪算法。

Abstract:

In order to improve the accuracy of the nonlinear sequential fusion algorithm, a new multi-sensor sequential fusion algorithm based on square-root cubature Kalman filter (SRCKF) is proposed. The proposed algorithm uses the third degree spherical-radial cubature rule to calculate the mean and covariance of the nonlinear process, and hence, overcomes the shortcomings of low performance in extended Kalman filter and complex parameters in square-root unscented Kalman filter. Meanwhile, the square-root covariance matrix replaces the covariance matrix in filtering recursion. In this way, the numerical stability of the algorithm is guaranteed and the tracking accuracy is improved. The performance of the proposed algorithm is tested by the reentry trajectory tracking model with known ballistic coefficients. Simulation results show that the proposed algorithm has good tracking performance, and is therefore an effective nonlinear sequential fusion tracking algorithm.