Abstract

Inertial measurement units (IMUs) have been widely used to provide accurate location and movement measurement solutions, along with the advances of modern manufacturing technologies. The scale factors of accelerometers and gyroscopes are linear when the range of the sensors are reasonably small, but the factor becomes nonlinear when the range gets much bigger. Based on this observation, this article presents a calibration method for low-cost IMU by effectively deriving the nonlinear scale factors of the sensors. Two motion patterns of the sensor on a rigid object are moved to collect data for calibration: One motion pattern is to upcast and rotate the rigid object, and another pattern is to place the rigid object on a stable base in different attitudes. The rotation motion produces centripetal and Coriolis force, which increases the measurement range of accelerometers. Four cost functions with different weight factors and two sets of data are utilized to optimize the IMU parameters. The weight factor comes from derived formula with input values which are the variance of the noise of the sampled data. The proposed approach was validated and evaluated on both synthetic and real-world data sets, and the experimental results demonstrated the superiority of the proposed approach in improving the accuracy of IMU for long-range use. In particular, the errors of acceleration and angular velocity led by our algorithm are significantly smaller than those resulted from the existing approaches using the same testing data sets, demonstrating a remarkable improvement of 64.12% and 47.90%, respectively.

Highlights

  • A N Inertial Measurement Unit (IMU) is often used to detect the acceleration and angular velocity of a moving object

  • Thanks to the advances of microelectrophoretical techniques, inertial sensors can be manufactured as microelectrophoretical system (MEMS), with considerably low cost, but with increased

  • 1) Centripetal acceleration: The centrifugal force of IMU is illustrated in Fig. 1-a, where ω represents the angular velocity; P is the center of gravity of the rigid body; O is the origin of sensor frame

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Summary

INTRODUCTION

A N Inertial Measurement Unit (IMU) is often used to detect the acceleration and angular velocity of a moving object. This paper proposes a method for obtaining nonlinear scale factors of a sensor without using high-cost instruments, to address the aforementioned challenge. In this method, the IMU is affixed to the surface of an object that cannot be deformed. A filter algorithm in this approach is designed to extract useful information from the raw data With these data, all initial parameters of the IMU sensor are placed into four cost functions. The main contributions of this paper are summarised as follows: (1) A method is proposed to obtain IMU calibration parameters that include the nonlinear scale factor.

IMU ERROR MODEL AND CALIBRATION COST FUNCTION
Cost Function of Accelerometer
Cost Function of Gyroscopes
Cost Function of Weightless IMU
CALIBRATION PROCEDURE
Static Detector
Attitude Integration and Cumulative Variance
Weight Parameters of Cost Function
EXPERIMENTS
Experiment on Synthetic Data
Our Method quadratic cube all αyz
Experiment on Application Scene
Findings
CONCLUSION
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