Modeling of Hysteresis in Piezoelectric Actuator Based on Segment Similarity

Abstract

Abstract:To successfully exploit the full potential of piezoelectric actuators in micro/nano positioning systems, it is essential to model their hysteresis behavior accurately. A novel hysteresis model for piezoelectric actuator is proposed in this paper. Firstly, segment-similarity, which describes the similarity relationship between hysteresis curve segments with different turning points, is proposed. Time-scale similarity, which describes the similarity relationship between hysteresis curves with different rates, is used to solve the problem of dynamic effect. The proposed model is formulated using these similarities. Finally, the experiments are performed with respect to a micro/nano-meter movement platform system. The effectiveness of the proposed model is verified as compared with the Preisach model. The experimental results show that the proposed model is able to precisely predict the hysteresis trajectories of piezoelectric actuators and performs better than the Preisach model.

Modeling and Compensation of Dynamic Hysteresis with Force-Voltage Coupling for Piezoelectric Actuators

“…However, the amplitude of the displacement is reduced. This phenomenon is called dynamic hysteresis and it is characteristic of piezoelectric actuators [34].…”

Modeling and Compensation for Asymmetrical and Dynamic Hysteresis of Piezoelectric Actuators Using a Dynamic Delay Prandtl–Ishlinskii Model

“…The inherent hysteresis of piezoelectric actuators are similar to other smart actuators such as magnetostrictive actuators [ 14 , 15 ] and shape memory alloy actuators [ 16 ], mainly referring to the nonlinearity between the input signal and its output signal [ 17 ]. The positioning error caused by the hysteresis may reach 15% [ 18 ], and this hysteresis is affected by the input frequency [ 19 , 20 , 21 , 22 ]. As the input frequency increases, the output is increasingly affected by the dynamic hysteresis of piezoelectric actuators, which makes the hysteresis more complicated and difficult to be described.…”

Advanced Trajectory Control for Piezoelectric Actuators Based on Robust Control Combined with Artificial Neural Networks

“…One of the main and most studied ones is hysteresis, which is a ferroelectric phenomenon related to the material poles that have arbitrary orientations that align when a voltage is applied, but the release of this action yields to a different direction [3,4]. Thus, for this reason, it is also known as a memory effect as it depends on previous history [5]. In practice, the accuracy can be reduced by up to 22% of the nominal displacement as a consequence of this anomaly [6]; another important consequence of this phenomenon is also the instability [7].…”

“…The first-mentioned group is a description of the ferromagnetic effect that produces the non-linearity, although the material dependency and complex numerical solutions are the downsides of these theories [20,21]. In regards to the phenomenological, the sub-classification is related to the ones based on differential equations (Dunhem [22], Backslash [23] and Bouc-Wen [24]), operator models (Preisach [5], Prandtl-Ishlinskii [25] and Krasnoselskii-Pokrovskii [26]) and polynomial models [27]. Nevertheless, the disadvantages of these approaches are linked with complicated solutions to gather the inverse model, incapability to deal with asymmetric hysteresis, rate dependency and complex implementation [20].…”