Tracking control of piezoelectric actuator based on a new mathematical model

Abstract

A major deficiency of piezoelectric actuators is that their open-loop control accuracy is seriously limited by hysteresis. In this paper, a novel mathematical model is proposed to describe hysteresis precisely and a new parameter called turning voltage is introduced. It was found experimentally that the shapes of hysteresis curves are decided by the value of the turning voltage. A computer-based inverse control approach under open-loop operation based on the mathematical model was applied to suppress the inherent hysteresis to within ±1% full span range of a stack piezoelectric actuator and the performance of the piezoelectric actuator is noticeably improved.

A Survey of Modeling and Control of Piezoelectric Actuators

“…For example, in [72,73,86,99], only hysteresis was compensated for by using the inverses of the Preisach hy- steresis model, a hysteresis model developed by using a polynomial-based linear mapping strategy, a hysteresis model developed based on hyperbola-shaped hysteresis operators, and a hysteresis model developed in [100], respectively, since hysteresis is the most significant nonlinearity in PEAs. In [90,101], creep is also compensated for in additional to hysteresis by using operator-based inverse creep models and inverse PI hysteresis models to achieve better tracking performance.…”

Charge feedback-based robust position tracking control for piezoelectric actuators

“…In Yeh et al [21], included a non-linear spring element into the hysteresis model and utilised a Maxwellslip structure, whereas Ji et al [22] used a support vector regression non-linear model and neural networks. In Lining et al [23], proposed a new mathematical model to describe complex hysteresis that is based on a new parameter called the turning voltage of a PZTA. They were able to utilise this parameter to suppress the inherent hysteresis to within ±1% full span range of a PZTA.…”

“…In Shieh et al [24], developed a parametrised hysteretic friction function, based on the LuGre model, to describe the PZTA hysteresis behaviour, and more recently, Ru et al [25] proposed a new mathematical model for the hysteresis by using polynomial fitting. Owing to the dependence of the models in [23][24][25] on constant parameters, adaptive displacement tracking controllers with parameter adaptation algorithms were designed.…”

Robust Tracking Control for a Piezoelectric Actuator

“…In [20], the authors proposed a new mathematical model to describe complex hysteresis that is based on a new parameter called turning voltage of a PZTA. In their work, the authors of [20] were able to utilize this parameter to suppress the inherent hysteresis to within ±1% full span range of a PZTA.…”

“…In their work, the authors of [20] were able to utilize this parameter to suppress the inherent hysteresis to within ±1% full span range of a PZTA. Shieh et al in [24] developed a parametrized hysteretic friction function, based on the LuGre model, to describe the PZTA hysteresis behavior.…”