Improvement of the nonlinear dynamic response of a Z-tilts lead zirconate titanate-based compensation stage using the capacitor insertion method

Chien Hung Liu, Chieh-Li Chen, Hau Wei Lee, Wen Yuh Jywe

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

This paper presents a Z-tilts compensation stage with three piezoelectric actuators and three guided hinges, which are a combination of a two-dimensional rotational hinge and a spring-type hinge. In order to reduce the nonlinearity of the three piezoelectric actuators, the capacitor insertion method was applied on each piezoelectric actuator. The relationship between the improved nonlinearity and the decreased displacement with various inserted capacitors is discussed and suitable capacitors for the stage are determined. A three-dimensional feedback measuring system composed of a laser interferometer and a quadrant photodiode detector was used to directly measure the real working position of the platform of the Z-tilts compensation stage without measuring the individual displacement of the three piezoelectric actuators. The minimum displacement and angular displacement of the Z-tilt stage were ±10 nm and ±0.1 arc sec, respectively. The error of the dynamic response of z, θx, and θy with amplitudes of 3 μm of a sine wave at 30 Hz were ±70 nm, ±0.1 arc sec, and ±0.4 arc sec, respectively, with the capacitor insertion method and a simple proportional-integral controller.

Original languageEnglish
Article number115112
JournalReview of Scientific Instruments
Volume80
Issue number11
DOIs
Publication statusPublished - 2009 Dec 16

Fingerprint

piezoelectric actuators
Piezoelectric actuators
dynamic response
Dynamic response
hinges
insertion
capacitors
Capacitors
Hinges
Lead
arcs
nonlinearity
quadrants
sine waves
Photodiodes
Interferometers
photodiodes
controllers
interferometers
platforms

All Science Journal Classification (ASJC) codes

  • Instrumentation

Cite this

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title = "Improvement of the nonlinear dynamic response of a Z-tilts lead zirconate titanate-based compensation stage using the capacitor insertion method",
abstract = "This paper presents a Z-tilts compensation stage with three piezoelectric actuators and three guided hinges, which are a combination of a two-dimensional rotational hinge and a spring-type hinge. In order to reduce the nonlinearity of the three piezoelectric actuators, the capacitor insertion method was applied on each piezoelectric actuator. The relationship between the improved nonlinearity and the decreased displacement with various inserted capacitors is discussed and suitable capacitors for the stage are determined. A three-dimensional feedback measuring system composed of a laser interferometer and a quadrant photodiode detector was used to directly measure the real working position of the platform of the Z-tilts compensation stage without measuring the individual displacement of the three piezoelectric actuators. The minimum displacement and angular displacement of the Z-tilt stage were ±10 nm and ±0.1 arc sec, respectively. The error of the dynamic response of z, θx, and θy with amplitudes of 3 μm of a sine wave at 30 Hz were ±70 nm, ±0.1 arc sec, and ±0.4 arc sec, respectively, with the capacitor insertion method and a simple proportional-integral controller.",
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Improvement of the nonlinear dynamic response of a Z-tilts lead zirconate titanate-based compensation stage using the capacitor insertion method. / Liu, Chien Hung; Chen, Chieh-Li; Lee, Hau Wei; Jywe, Wen Yuh.

In: Review of Scientific Instruments, Vol. 80, No. 11, 115112, 16.12.2009.

Research output: Contribution to journalArticle

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