Abd Rabbou Mahmoud, El-Rabbany Ahmed
Department of Civil Engineering, Ryerson University, 350 Victoria Street, Toronto M5B 2K3, ON, Canada.
Sensors (Basel). 2015 Mar 25;15(4):7228-45. doi: 10.3390/s150407228.
Integration of Global Positioning System (GPS) and Inertial Navigation System (INS) integrated system involves nonlinear motion state and measurement models. However, the extended Kalman filter (EKF) is commonly used as the estimation filter, which might lead to solution divergence. This is usually encountered during GPS outages, when low-cost micro-electro-mechanical sensors (MEMS) inertial sensors are used. To enhance the navigation system performance, alternatives to the standard EKF should be considered. Particle filtering (PF) is commonly considered as a nonlinear estimation technique to accommodate severe MEMS inertial sensor biases and noise behavior. However, the computation burden of PF limits its use. In this study, an improved version of PF, the unscented particle filter (UPF), is utilized, which combines the unscented Kalman filter (UKF) and PF for the integration of GPS precise point positioning and MEMS-based inertial systems. The proposed filter is examined and compared with traditional estimation filters, namely EKF, UKF and PF. Tightly coupled mechanization is adopted, which is developed in the raw GPS and INS measurement domain. Un-differenced ionosphere-free linear combinations of pseudorange and carrier-phase measurements are used for PPP. The performance of the UPF is analyzed using a real test scenario in downtown Kingston, Ontario. It is shown that the use of UPF reduces the number of samples needed to produce an accurate solution, in comparison with the traditional PF, which in turn reduces the processing time. In addition, UPF enhances the positioning accuracy by up to 15% during GPS outages, in comparison with EKF. However, all filters produce comparable results when the GPS measurement updates are available.
全球定位系统(GPS)与惯性导航系统(INS)的集成系统涉及非线性运动状态和测量模型。然而,扩展卡尔曼滤波器(EKF)通常被用作估计滤波器,这可能会导致解的发散。这种情况通常在GPS中断期间出现,此时使用的是低成本微机电系统(MEMS)惯性传感器。为了提高导航系统的性能,应考虑标准EKF的替代方法。粒子滤波(PF)通常被视为一种非线性估计技术,以适应严重的MEMS惯性传感器偏差和噪声特性。然而,PF的计算负担限制了其应用。在本研究中,采用了PF的改进版本——无迹粒子滤波器(UPF),它将无迹卡尔曼滤波器(UKF)和PF相结合,用于GPS精密单点定位与基于MEMS的惯性系统的集成。对所提出的滤波器进行了检验,并与传统估计滤波器(即EKF、UKF和PF)进行了比较。采用紧密耦合机制,在原始GPS和INS测量域中开发。伪距和载波相位测量的无电离层非差线性组合用于精密单点定位。使用安大略省金斯敦市中心的实际测试场景分析了UPF的性能。结果表明,与传统PF相比,使用UPF减少了生成精确解所需的样本数量,进而减少了处理时间。此外,与EKF相比,在GPS中断期间,UPF将定位精度提高了多达15%。然而,当有GPS测量更新时,所有滤波器都产生了可比的结果。