基于球面单径容积准则的多雷达分布式再入目标实时跟踪算法

Real-time Tracking Algorithm for Multi-radar Distributed Reentry Target Based on Spherical Simplex-radial Cubature Rule

针对多雷达对再入目标的实时跟踪问题,提出一种基于球面单径容积准则的分布式容积卡尔曼滤波算法。首先,利用球面单径容积准则近似计算非线性高斯权重积分,然后由统计线性误差传播方法等价表示滤波过程中的互协方差矩阵;最后通过一致性算法将单雷达容积卡尔曼滤波器所得时间更新结果与邻居雷达间进行信息交互与一致化处理,得到分布式球面单径容积卡尔曼滤波算法。该算法提高了再入弹道目标跟踪精度;无信息融合中心的通信拓扑结构降低了雷达间的通信量与计算量,提高了整个系统的生存能力。数值仿真结果验证了算法的有效性。

A distributed cubature Kalman filter algorithm based on spherical simple cubature rule is proposed for multi-radar real-time tracking of reentry targets.Firstly,the nonlinear Gaussian weight integral is approximated by the spherical simplex-radial rule.Then,the volumetric information is obtained by the equivalent linear error propagation method.Finally,the information fusion and consensus between the time update result of the single radar volume Kalman filter and the neighbor radar are obtained by the consistency algorithm,and the distributed spherical single diameter Kalman filter algorithm is obtained.The algorithm improves the tracking accuracy of the reentry trajectory target.The communication topology without information fusion center reduces the traffic and computation between the radar and improves the survivability of the whole system.The numerical simulation results verify the effectiveness of the algorithm.