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Vol. 252, Issue 5, October 2021, pp. 1-11




Dynamic Verification of a Static Calibrated 3-Axis Accelerometer Using a Slider-Crank Mechanism
and the Method of Variable Projection


University of Leoben, Chair of Automation, Peter Tunner Strasse 25, 8700 Leoben, Austria
Tel.: +43 3842 402 5301, fax: +43 3842 402 5302

E-mail: automation@unileoben.ac.at


Received: 30 July 2021 /Accepted: 28 September 2021 /Published: 31 October 2021



Abstract: This paper presents a new method of calibration for a 3-axis MEMS accelerometer and its dynamic verification. The new combination of calibration and dynamic verification ensures the correct calculation of the displacement and velocity from the measured accelerations of systems with significant motion. The nine parameters required for complete calibration of the accelerometer are obtained using the non-linear optimisation, whereby the method of variable projection (VPM) is used to implement the optimisation. The dynamic verification is performed on a test bed corresponding to a slider-crank mechanism. Principal component analysis is used to correct for possible rotations of the sensor, relative to the linear motion. The results presented in this paper demonstrate the correct functionality of the calibration and verification procedures.


Keywords: Calibration, Variable projection method, Non-linear optimisation, Dynamic verification, MEMS accelerometer.


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