An Optimal Calibration Method for a MEMS Inertial Measurement Unit

An optimal calibration method for a micro-electro-mechanical inertial measurement unit (MIMU) is presented in this paper. The accuracy of the MIMU is highly dependent on calibration to remove the deterministic errors of systematic errors, which also contain random errors. The overlapping Allan variance is applied to characterize the types of random error terms in the measurements. The calibration model includes package misalignment error, sensor-to-sensor misalignment error and bias, and a scale factor is built. The new concept of a calibration method, which includes a calibration scheme and a calibration algorithm, is proposed. The calibration scheme is designed by D-optimal and the calibration algorithm is deduced by a Kalman filter. In addition, the thermal calibration is investigated, as the bias and scale factor varied with temperature. The simulations and real tests verify the effectiveness of the proposed calibration method and show that it is better than the traditional method.

[1]  Marko Topič,et al.  Calibration and data fusion solution for the miniature attitude and heading reference system , 2007 .

[2]  Tarek Hamel,et al.  Attitude and gyro bias estimation for a VTOL UAV , 2006 .

[3]  Mamoun F. Abdel-Hafez On the development of an inertial navigation error-budget system , 2011, J. Frankl. Inst..

[4]  David A. Howe,et al.  Properties of Signal Sources and Measurement Methods , 1981 .

[5]  Cameron N. Riviere,et al.  Kalman filtering for real-time orientation tracking of handheld microsurgical instrument , 2004, 2004 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) (IEEE Cat. No.04CH37566).

[6]  Lingling Wang,et al.  A D-optimal Multi-position Calibration Method for Dynamically Tuned Gyroscopes , 2011 .

[7]  Fei-Bin Hsiao,et al.  Development of a Low-Cost Attitude and Heading Reference System Using a Three-Axis Rotating Platform , 2010, Sensors.

[8]  Michael Edward Bagnold On the indian methods of working iron and steel, for the damascus gun-barrels and sword-blades , 1826 .

[9]  M.F. Golnaraghi,et al.  Initial calibration of an inertial measurement unit using an optical position tracking system , 2004, PLANS 2004. Position Location and Navigation Symposium (IEEE Cat. No.04CH37556).

[10]  Yuanxin Wu,et al.  Improved multi-position calibration for inertial measurement units , 2009 .

[11]  Suzanne Lesecq,et al.  Calibration methods for inertial and magnetic sensors , 2009 .

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

[13]  Andrew Y. C. Nee,et al.  Methods for in-field user calibration of an inertial measurement unit without external equipment , 2008 .

[14]  D.S. Bernstein,et al.  Calibrating a triaxial accelerometer-magnetometer - using robotic actuation for sensor reorientation during data collection , 2005, IEEE Control Systems.

[15]  Noureddine Manamanni,et al.  Posture and body acceleration tracking by inertial and magnetic sensing: Application in behavioral analysis of free-ranging animals , 2011, Biomed. Signal Process. Control..

[16]  Takeo Kanade,et al.  Factorization-based calibration method for MEMS inertial measurement unit , 2008, 2008 IEEE International Conference on Robotics and Automation.

[17]  Wei Tech Ang,et al.  Nonlinear Regression Model of aLow-$g$ MEMS Accelerometer , 2007, IEEE Sensors Journal.

[18]  Naser El-Sheimy,et al.  A new multi-position calibration method for MEMS inertial navigation systems , 2007 .

[19]  I. Skog,et al.  Calibration of the accelerometer triad of an inertial measurement unit, maximum likelihood estimation and Cramér-Rao bound , 2010, 2010 International Conference on Indoor Positioning and Indoor Navigation.

[20]  P. Hiebel,et al.  D-optimal experimental design applied to a linear magnetostatic inverse problem , 2002 .

[21]  I. Bar-Itzhack,et al.  Observability analysis of piece-wise constant systems. I. Theory , 1992 .

[22]  Naser El-Sheimy,et al.  A Standard Testing and Calibration Procedure for Low Cost MEMS Inertial Sensors and Units , 2008, Journal of Navigation.

[23]  A. B. Chatfield Fundamentals of high accuracy inertial navigation , 1997 .