Finance

Physics

Mathematics

Statistics

Inertial navigation system

Mean squared error

Orientation (vector space)

Gaussian

Artificial intelligence

Kalman filter

Position (finance)

Economics

Control (management)

GPS/INS

Assisted GPS

Geometry

Computer science

Global Positioning System

Gaussian process

Quantum mechanics

Real-time computing

Control theory (sociology)

Telecommunications

IEEE Transactions on Instrumentation and Measurement

Integration of microelectromechanical system-based inertial navigation system (MEMS-INS) and global positioning system (GPS) is a promising approach to vehicle localization. However, such a scheme may have poor performance during GPS outages and is less robust to measurement noises in changeable urban environments. In this article, we give an improved extended Kalman filter (IEKF) using an adaptation mechanism to eliminate the influence of noises in MEMS-INS and mitigate dependence on the process model. Especially, to guarantee accurate position estimation of the INS, a deep learning framework with multiple long short-term memory (multi-LSTM) modules is proposed to predict the increment of the vehicle position based on Gaussian mixture model (GMM) and Kullback-Leibler (KL) distance. The IEKF and the multi-LSTM are then combined together to optimize vehicle positioning accuracy during GPS outages in changeable urban environments. Numerical simulations and real-world experiments have demonstrated the effectiveness of the combined IEKF and multi-LSTM method, with the root-mean-square error (RMSE) of predicted position reduced by up to 93.9%. Or specifically, the RMSEs during GPS outages with durations 30, 60, and 120 s are 2.34, 2.69, and 3.08 m, respectively, which obviously outperform the existing method.

Vehicle Localization During GPS Outages With Extended Kalman Filter and Deep Learning