Hysteresis modeling and investigations of a piezoelectric ring bender using Bouc-Wen model

Abstract

The paper describes theoretical and experimental investigation of applying Bouc-Wen model in displacement modeling of piezelectric ring benders. Under the increasing demand for more accurate position control systems, various hysteresis models appropriate for control purpose of mechanical systems have been proposed. Most of these models are based on phenomenological approach, for example: Prandtl–Ishlinskii or Krasnosel’skii-Pokrovskii and other, friction based like Maxwell-slip model. This paper presents a model described in analytical form, called the Bouc-Wen model, appropriate for position control purpose. Paper presents histeresis investigation results of Noliac CMBR05 ring bender under different voltages. Furthermore, article depicts how model was numerically implemented and investigated on dSpace Control System with Matlab Simulink Software for future research on real time position control with inverted hysteresis model.

Design, development, and testing of active valve piezo-hydraulic pump

“…A trapezoidal voltage signal is generated and given to the hysteresis model. The output from the hysteresis model is connected to the transfer function of the valve actuator where all the force calculations are made and the resulting displacement is given as the output [31][32][33][34].…”

“…figure11. The Bouc-Wen hysteresis model[29][30][31][32][33] is used to imitate the hysteresis behavior of the actuators. The hysteresis variable h from the generalized Bouc-Wen hysteresis model can be represented as,…”