A square-root version of the divided difference Rauch-Tung-Striebel (RTS) smoother is proposed in this paper. The square-root variant essentially propagates the square roots of the covariance matrices and can consiste...A square-root version of the divided difference Rauch-Tung-Striebel (RTS) smoother is proposed in this paper. The square-root variant essentially propagates the square roots of the covariance matrices and can consistently improve the numerical stability because all the resulting covariance matrices are guaranteed to stay positive semi-definite. Furthermore, the square-root form ensures reliable implementation in an embedded system with fixed or limited precision although it is algebraically equivalent to the standard form. The new smoothing algorithm is tested in a challenging two-dimensional maneuvering target tracking problem with unknown and time-varying turn rate, and its performance is compared with that of other de-facto standard filters and smoothers. The simulation results indicate that the proposed RTS smoother markedly outperforms the associated filters and gives slightly smaller error than an unscented-based RTS smoother.展开更多
高精度位置姿态系统(POS,Position and Orientation System)是移动成图技术的重要组成部分,其姿态角必须达到很高的精度才能满足需求。为此提出了基于闭环误差控制器的前向Kalman滤波与反向R-T-S最优固定区间平滑相结合的POS后处理算法...高精度位置姿态系统(POS,Position and Orientation System)是移动成图技术的重要组成部分,其姿态角必须达到很高的精度才能满足需求。为此提出了基于闭环误差控制器的前向Kalman滤波与反向R-T-S最优固定区间平滑相结合的POS后处理算法,使得整个处理过程中系统具有很高的线性度,并依据快速性和精度要求设计了闭环误差控制器的控制参数,将系统的误差振荡幅值抑制在很小的范围内。仿真结果表明,该算法不仅可以获得高精度的位置信息,还提高了姿态角精度,是一种高精度的POS后处理算法。展开更多
基金the Fundamental Research Fund of Northwestern Polytechnical University( Grant No. JC20120210,JC20110238)
文摘A square-root version of the divided difference Rauch-Tung-Striebel (RTS) smoother is proposed in this paper. The square-root variant essentially propagates the square roots of the covariance matrices and can consistently improve the numerical stability because all the resulting covariance matrices are guaranteed to stay positive semi-definite. Furthermore, the square-root form ensures reliable implementation in an embedded system with fixed or limited precision although it is algebraically equivalent to the standard form. The new smoothing algorithm is tested in a challenging two-dimensional maneuvering target tracking problem with unknown and time-varying turn rate, and its performance is compared with that of other de-facto standard filters and smoothers. The simulation results indicate that the proposed RTS smoother markedly outperforms the associated filters and gives slightly smaller error than an unscented-based RTS smoother.
文摘高精度位置姿态系统(POS,Position and Orientation System)是移动成图技术的重要组成部分,其姿态角必须达到很高的精度才能满足需求。为此提出了基于闭环误差控制器的前向Kalman滤波与反向R-T-S最优固定区间平滑相结合的POS后处理算法,使得整个处理过程中系统具有很高的线性度,并依据快速性和精度要求设计了闭环误差控制器的控制参数,将系统的误差振荡幅值抑制在很小的范围内。仿真结果表明,该算法不仅可以获得高精度的位置信息,还提高了姿态角精度,是一种高精度的POS后处理算法。
