Hysteresis Compensation of 3D Printed Sensors by a Power Law Model with Reduced Parameters

Abstract

We propose a modified Power Law Model [1] for hysteresis compensation. A simplification of the original model, resulting in a lower number of parameters to be estimated, is introduced. It has no nonlinear resistor in the output stage and the nonlinear resistance function in the input section(s) is given by a sinh function resulting in $3 N +2$ parameters for a model with N input stages. A cantilever beam with two symmetric piezoresistive sensors was 3D printed and shown to exhibit hysteretic behavior. The sensor’s differential measurements have been used to obtain training and validation data. We present promising fitting results obtained with a single cell model and 5 parameters only. Finally, the inverse model (compensator) is derived and applied to the experimental data in order to strongly reduce the hysteretic nonlinearity.