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Nano-Scale Positioning Design with Piezoelectric Materials.

Yung Yue Chen1, Yung Hsiang Chen2, Chiung Yau Huang3

  • 1Department of Systems and Naval Mechatronics Engineering of National Cheng Kung University, Tainan 701, Taiwan. yungyuchen@mail.ncku.edu.tw.

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Summary

This study addresses positioning errors in piezoelectric materials caused by hysteresis. A novel nonlinear control design ensures precise nano-scale positioning, making piezoelectric actuators more reliable for engineering applications.

Keywords:
Bouc–Wen modelhysteresis effectnano-scale positioning designnonlinear controlpiezoelectric material

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Area of Science:

  • Materials Science
  • Control Engineering
  • Nanotechnology

Background:

  • Piezoelectric materials offer high nano-scale positioning resolution, crucial for advanced engineering.
  • Hysteresis in piezoelectric materials leads to significant positioning errors, limiting their practical application.
  • Mitigating hysteresis is essential for achieving accurate performance in piezoelectric systems.

Purpose of the Study:

  • To propose and mathematically derive a nonlinear positioning control design for piezoelectric materials.
  • To mitigate the inherent hysteresis effect in piezoelectric actuators.
  • To achieve asymptotic convergence of positioning errors to zero at the nano-scale level.

Main Methods:

  • Utilizing the Bouc-Wen model to represent piezoelectric material behavior.
  • Employing particle swarm optimization for system parameter identification of the Bouc-Wen model.
  • Performing stability verification for the identified model and deriving a nonlinear feedback linearization control design.

Main Results:

  • Accurate identification of Bouc-Wen model parameters for piezoelectric materials.
  • Mathematical proof of stability for the identified model.
  • Demonstration that the proposed nonlinear control design reduces positioning errors to zero asymptotically.

Conclusions:

  • The developed nonlinear positioning design effectively compensates for piezoelectric hysteresis.
  • The control strategy ensures precise nano-scale positioning accuracy.
  • This research enhances the reliability and applicability of piezoelectric materials in demanding engineering fields.