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Quasi-static self-sensing piezoelectric actuator position control with complex permittivity-enhanced hybrid neural network

Lin, Chuhang ; Wang, Yanbo ; Sasamura, Tatsuki LU orcid ; Chee, Sze Keat and Morita, Takeshi (2026) In Precision Engineering 99. p.214-220
Abstract

This paper proposes a high-precision self-sensing method for piezoelectric actuators using a hybrid neural network that integrates complex permittivity information. The proposed method addresses the limitations of conventional permittivity-based self-sensing, which typically exhibits approximately 1% remaining hysteresis. A knowledge-based polynomial model is first employed to capture the primary displacement–permittivity relationship. To enhance accuracy, a neural network is then introduced to compensate for residual nonlinearity using the input voltage, permittivity, and leakage current as its inputs. Experimental validation was conducted on a one-degree-of-freedom (1-DOF) push–pull stage with a stroke of approximately 9 μm. The... (More)

This paper proposes a high-precision self-sensing method for piezoelectric actuators using a hybrid neural network that integrates complex permittivity information. The proposed method addresses the limitations of conventional permittivity-based self-sensing, which typically exhibits approximately 1% remaining hysteresis. A knowledge-based polynomial model is first employed to capture the primary displacement–permittivity relationship. To enhance accuracy, a neural network is then introduced to compensate for residual nonlinearity using the input voltage, permittivity, and leakage current as its inputs. Experimental validation was conducted on a one-degree-of-freedom (1-DOF) push–pull stage with a stroke of approximately 9 μm. The results demonstrate that the proposed framework achieves a root mean square (RMS) prediction error of 9 nm across the entire stroke. Furthermore, the trained estimator is deployed in a closed-loop proportional–integral(PI) controller for completely sensorless step positioning, maintaining steady-state errors within ±25 nm. These results represent a significant improvement over conventional permittivity-based and other existing self-sensing approaches, confirming the effectiveness of integrating piezoelectric self-sensing with machine learning for high-precision displacement estimation and real-time control.

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author
; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Complex permittivity, Neural networks, Piezoelectric actuators, Self-sensing
in
Precision Engineering
volume
99
pages
7 pages
publisher
Elsevier
external identifiers
  • scopus:105027421473
ISSN
0141-6359
DOI
10.1016/j.precisioneng.2026.01.010
language
English
LU publication?
yes
additional info
Publisher Copyright: © 2026
id
88a76184-9464-4720-8329-58c52f6b7171
date added to LUP
2026-03-10 15:27:42
date last changed
2026-03-11 03:54:08
@article{88a76184-9464-4720-8329-58c52f6b7171,
  abstract     = {{<p>This paper proposes a high-precision self-sensing method for piezoelectric actuators using a hybrid neural network that integrates complex permittivity information. The proposed method addresses the limitations of conventional permittivity-based self-sensing, which typically exhibits approximately 1% remaining hysteresis. A knowledge-based polynomial model is first employed to capture the primary displacement–permittivity relationship. To enhance accuracy, a neural network is then introduced to compensate for residual nonlinearity using the input voltage, permittivity, and leakage current as its inputs. Experimental validation was conducted on a one-degree-of-freedom (1-DOF) push–pull stage with a stroke of approximately 9 μm. The results demonstrate that the proposed framework achieves a root mean square (RMS) prediction error of 9 nm across the entire stroke. Furthermore, the trained estimator is deployed in a closed-loop proportional–integral(PI) controller for completely sensorless step positioning, maintaining steady-state errors within ±25 nm. These results represent a significant improvement over conventional permittivity-based and other existing self-sensing approaches, confirming the effectiveness of integrating piezoelectric self-sensing with machine learning for high-precision displacement estimation and real-time control.</p>}},
  author       = {{Lin, Chuhang and Wang, Yanbo and Sasamura, Tatsuki and Chee, Sze Keat and Morita, Takeshi}},
  issn         = {{0141-6359}},
  keywords     = {{Complex permittivity; Neural networks; Piezoelectric actuators; Self-sensing}},
  language     = {{eng}},
  month        = {{01}},
  pages        = {{214--220}},
  publisher    = {{Elsevier}},
  series       = {{Precision Engineering}},
  title        = {{Quasi-static self-sensing piezoelectric actuator position control with complex permittivity-enhanced hybrid neural network}},
  url          = {{http://dx.doi.org/10.1016/j.precisioneng.2026.01.010}},
  doi          = {{10.1016/j.precisioneng.2026.01.010}},
  volume       = {{99}},
  year         = {{2026}},
}