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Proceedings Paper

Nonlinear optimal tracking control of a piezoelectric nanopositioning stage
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Paper Abstract

High performance nanopositioning stages, used in a variety of applications such as atomic force microscopy and three-dimensional nanometer-scale lithography, require stringent position control over relatively large displacements and a broad frequency range. Piezoelectric materials, which are typically employed in nanopositioining stages, provide excellent position control when driven at relatively low frequency and low field levels. However, in applications where the stage operates over a relatively large region (microns to millimeters) and broad frequency range (Hz - kHz), piezoelectric materials often exhibit nonlinear and rate-dependent hystereis which requires control designs that can effectively accommodate such behavior. In this paper, a nonlinear, thermal-relaxation, piezoelectric constitutive law is incorporated into an open loop optimal tracking control design to accurately track a desired reference signal when nonlinearities, thermal relaxation and hyteresis are present. A comparison between linear optimal control and the nonlinear optimal control design is given to illustrate performance enhancements when the constitutive behavior is included in the control design.

Paper Details

Date Published: 27 March 2006
PDF: 12 pages
Proc. SPIE 6166, Smart Structures and Materials 2006: Modeling, Signal Processing, and Control, 616616 (27 March 2006); doi: 10.1117/12.658147
Show Author Affiliations
William S. Oates, North Carolina State Univ. (United States)
Ralph C. Smith, North Carolina State Univ. (United States)

Published in SPIE Proceedings Vol. 6166:
Smart Structures and Materials 2006: Modeling, Signal Processing, and Control
Douglas K. Lindner, Editor(s)

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