Modeling and bounding low cost inertial sensor errors

This paper presents a methodology for developing models for the post-calibration residual errors of inexpensive inertial sensors in the class normally referred to as ldquoautomotiverdquo or ldquoconsumerrdquo grade. These sensors are increasingly being used in real-time vehicle navigation and guidance systems. However, manufacturer supplied specification sheets for these sensors seldom provide enough detail to allow constructing the type of error models required for analyzing the performance or assessing the risk associated with navigation and guidance systems. A methodology for generating error models that are accurate and usable in navigation and guidance systemspsila sensor fusion and risk analysis algorithms is developed and validated. Use of the error models is demonstrated by a simulation in which the performance of an automotive navigation and guidance system is analyzed.

[1]  Richard A. Brown,et al.  Introduction to random signals and applied kalman filtering (3rd ed , 2012 .

[2]  Darryll J. Pines,et al.  Characterization of Ring Laser Gyro Performance Using the Allan Variance Method , 1997 .

[3]  Bernd Eissfeller,et al.  Improvements of GNSS Receiver Performance Using Deeply Coupled INS Measurements , 2000 .

[4]  D. W. Allan,et al.  Statistics of atomic frequency standards , 1966 .

[5]  Gaurav S. Sukhatme,et al.  Circumventing dynamic modeling: evaluation of the error-state Kalman filter applied to mobile robot localization , 1999, Proceedings 1999 IEEE International Conference on Robotics and Automation (Cat. No.99CH36288C).

[6]  Demoz Gebre Egziabher,et al.  System Concepts and Observability Analysis of Inexpensive Multi-Sensor Navigators , 2003 .

[7]  Andrey Soloviev,et al.  Implementation of Deeply Integrated GPS/Low-Cost IMU for Reacquisition and Tracking of Low CNR GPS Signals , 2004 .

[8]  R. John Hansman,et al.  An Integrated Approach to Evaluating Risk Mitigation Measures for UAV Operational Concepts in the NAS , 2005 .

[9]  Gérard Lachapelle,et al.  INS-Assisted High Sensitivity GPS Receivers For Degraded Signal Navigation , 2006 .

[10]  Jinhui Lan,et al.  Constrained Filtering Method for MAV Attitude Determination , 2005, 2005 IEEE Instrumentationand Measurement Technology Conference Proceedings.

[11]  Angelo Maria Sabatini,et al.  A wavelet-based bootstrap method applied to inertial sensor stochastic error modelling using the Allan variance , 2006 .

[12]  Mark G. Petovello,et al.  Comparison of Vector-Based Software Receiver Implementations With Application to Ultra-Tight GPS/INS Integration , 2006 .

[13]  Demoz Gebre-Egziabher,et al.  Stochastic and Geometric Observability of Aided Inertial Navigators , 2006 .

[14]  M. M. Tehrani,et al.  Ring Laser Gyro Data Analysis With Cluster Sampling Technique , 1983, Other Conferences.

[15]  Robert F. Stengel,et al.  Optimal Control and Estimation , 1994 .

[16]  Demoz Gebre-Egziabher,et al.  System Concepts and Performance Analysis of Multi-Sensor Navigation Systems for UAV Applications , 2003 .

[17]  Yudan Yi,et al.  On improving the accuracy and reliability of GPS/INS-based direct sensor georeferencing , 2007 .

[18]  Pi-Ming Cheng,et al.  DGPS-based lane assist system for transit buses , 2004, Proceedings. The 7th International IEEE Conference on Intelligent Transportation Systems (IEEE Cat. No.04TH8749).

[19]  Demoz Gebre-Egziabher,et al.  Parametric error equations for dead reckoning navigators used in ground vehicle guidance and control , 2006 .

[20]  R.C. Hayward,et al.  Design of multi-sensor attitude determination systems , 2004, IEEE Transactions on Aerospace and Electronic Systems.

[21]  R. Fink,et al.  Design and Development of a Low-Cost Test-Bed for Undergraduate Education in UAVs , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[22]  Xiaoji Niu,et al.  Analysis and Modeling of Inertial Sensors Using Allan Variance , 2008, IEEE Transactions on Instrumentation and Measurement.

[23]  D. Gebre-Egziabher,et al.  A gyro-free quaternion-based attitude determination system suitable for implementation using low cost sensors , 2000, IEEE 2000. Position Location and Navigation Symposium (Cat. No.00CH37062).

[24]  Demoz Gebre-Egziabher,et al.  Design and performance analysis of a low-cost aided dead reckoning navigator , 2001 .

[25]  Arthur Gelb,et al.  Applied Optimal Estimation , 1974 .

[26]  Demoz Gebre-Egziabher,et al.  Symmetric overbounding of correlated errors , 2006 .

[27]  Xiaoji Niu,et al.  An Accurate Land-Vehicle MEMS IMU/GPS Navigation System Using 3D Auxiliary Velocity Updates , 2007 .

[28]  Jose A. Rios,et al.  Low Cost Solid State GPS/INS Package , 2000 .

[29]  Demoz Gebre-Egziabher,et al.  A Numerical Procedure for Approximating Overbounds on Navigation Systems Error Distributions , 2006 .