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Repetitive Control Design for Piezoelectric Actuators

[+] Author Affiliations
Yingfeng Shan, Kam K. Leang

University of Nevada, Reno, Reno, NV

Paper No. SMASIS2011-4976, pp. 89-95; 7 pages
doi:10.1115/SMASIS2011-4976
From:
  • ASME 2011 Conference on Smart Materials, Adaptive Structures and Intelligent Systems
  • ASME 2011 Conference on Smart Materials, Adaptive Structures and Intelligent Systems, Volume 2
  • Scottsdale, Arizona, USA, September 18–21, 2011
  • ISBN: 978-0-7918-5472-3
  • Copyright © 2011 by ASME

abstract

Piezoactuators exhibit hysteresis and dynamic effects which often cause significant positioning error in a wide variety of motion control applications, especially in applications where the reference trajectory is periodic in time, such as the raster motion in scanning probe microscopy. A feedback-based approach known as repetitive control (RC) is well-suited to track periodic reference trajectories and/or to reject periodic disturbances. However, when an RC is designed with a linear dynamics model and subsequently applied to a system with hysteresis, stability and good tracking performance may not be guaranteed. In this work, the effect of hysteresis on the closed-loop stability of RC is analyzed. In the analysis, the hysteresis effect is represented by the Prandtl-Ishlinskii hysteresis model. Using this model, stability conditions are provided for an RC designed for piezoelectric actuators which commonly exhibit hysteresis. The approach is applied to a custom-designed piezo-driven nanopositioner for tracking periodic trajectories.

Copyright © 2011 by ASME

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