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Model-free adaptive sensing and control for a piezoelectrically actuated system.

Hung-Yi Chen1, Jin-Wei Liang

  • 1Ming Chi University of Technology/No. 84, Gungjuan Road, Taishan, Taipei, 243, Taiwan. hychen@mail.mcut.edu.tw

Sensors (Basel, Switzerland)
|December 14, 2011
PubMed
Summary

This study introduces a model-free adaptive sliding controller to enhance piezoelectrically actuated systems by addressing nonlinearities and hysteresis. The functional approximation technique (FAT) enables precise control without requiring a system dynamic model.

Keywords:
adaptive sliding controllerfunctional approximation techniquepiezoelectrically actuated system

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Area of Science:

  • Robotics and Control Systems
  • Materials Science and Engineering
  • Mechanical Engineering

Background:

  • Piezoelectrically actuated systems exhibit complex nonlinear and time-varying dynamics.
  • Accurate dynamic modeling is challenging, hindering model-based control design.
  • Hysteresis and small travel defects limit the performance of these systems.

Purpose of the Study:

  • To propose a model-free adaptive sliding controller for piezoelectrically actuated systems.
  • To overcome limitations of traditional model-based control approaches.
  • To improve motion tracking performance and reduce defects like hysteresis.

Main Methods:

  • Utilized the functional approximation technique (FAT) to approximate unknown nonlinear functions.
  • Employed weighted Fourier series basis functions for system representation.
  • Developed an updating rule for estimating unknown weighted vectors.
  • Derived update laws from a Lyapunov function for guaranteed stability.

Main Results:

  • Successfully implemented a sliding-mode controller without requiring a system dynamic model.
  • Demonstrated improved motion tracking performance on a piezoelectrically actuated X-Y table.
  • Showcased superior performance compared to a traditional model-based sliding-mode controller.

Conclusions:

  • The proposed FAT-based adaptive sliding controller effectively addresses nonlinearities and hysteresis in piezoelectrically actuated systems.
  • Model-free control is a viable and effective strategy for complex systems.
  • This approach offers enhanced precision and stability for motion control applications.