Abstract
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. Keywords: GPS; PPP; INS; EKF; UKF; UPF; tightly coupled
Highlights
Differential Global Positioning System (GPS) with tactical or navigation-grade inertial sensors are used in GlobalPositioning System (GPS) and Inertial Navigation System (INS) integration for precise navigation applications [1–4]
A vehicular test was conducted in downtown Kingston, Ontario, to evaluate the performance of the developed integrated GPS-precise point positioning (PPP)/micro-electro-mechanical sensors (MEMS)-based inertial system
The SPAN-CPT system consists of NovAtel OEM4 GPS receiver and a MEMS inertial measurement units (IMU) containing three MEMS-based accelerometers and three fiber optic gyros
Summary
Differential GPS with tactical or navigation-grade inertial sensors are used in Global. As a result of neglecting higher order terms, EKF might fail to produce a reliable estimation solution, especially during GPS outages This is the case when low-cost MEMS-based inertial measurement units (IMU) are used. The normalized importance weights of the particles are calculated to refine the system posteriori estimates This technique significantly reduces the number of particles and processing time compared with traditional PF, it confines the PF importance density function to Gaussian distribution. According to Simon [25], a bank of EKFs or UKFs can used for each particle combined with the likelihood function to derive the system a posteriori estimates This technique can significantly reduce the number of needed particles while reserving the non-Gaussian natural of the system noise. A system of non-linear first-order differential equations can be described as [27]: n
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