Modeling and identification of nonlinear hysteresis behavior of piezoelectric actuators using a computationally efficient phenomenological model and modified cuckoo search algorithm

Abstract

Hysteresis, an intrinsic characteristic of PZT actuators, has been demonstrated to dramatically reduce the capability and stability of the system. This paper proposes a novel computationally efficient model to describe nonlinear and hysteresis behaviors of PZT actuators. First of all, the model parameters are analyzed to investigate their effects on the output response. Then, a modified cuckoo search (CS) algorithm is used to identify the model parameters, without falling into the local optimum problems through introducing adaptive egg discovery probability and step length control factor. Further, the performance of the proposed model is validated using experimental data, via the comparison with classical Bouc-Wen and Prandtl-Ishlinskii hysteresis models. Finally, the rate-dependence of the parameters of proposed model is analyzed, which contributes to a generalized hysteresis model for the compensation control application of PZT actuators.

Parameter identification for a model for multi-functional materials with hysteresis and thermodynamic compatibility

“…In addition to the drawbacks mentioned for the models using the Preisach/Prandtl operator, this approach is unable to model minor hysteresis loops. More recently, hysteresis modeling has been applied to shape memory alloys (Ballew and Seelecke, 2019; Han et al, 2022; Wang and Wang, 2021; Yi et al, 2021), electroactive polymers (Jiang et al, 2021), and piezoelectric actuators (Robert et al, 2001; Xie et al, 2023; Yang et al, 2022). As in the previously mentioned research on magnetostriction, these papers consider a single-input, single-output model for the respective smart materials.…”