Technical Brief

Modeling of a Dynamic Mirror With Antagonistic Piezoelectric Stack Actuation

[+] Author and Article Information
James A. Mynderse

Assistant Professor
A. Leon Linton Department of Mechanical Engineering,
Lawrence Technological University,
Southfield, MI 48075
e-mail: jmynderse@ltu.edu

George T. C. Chiu

Fellow ASME
Ray W. Herrick Laboratories,
School of Mechanical Engineering,
Purdue University,
West Lafayette, IN 47907
e-mail: gchiu@purdue.edu

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received April 30, 2012; final manuscript received October 7, 2013; published online November 12, 2013. Assoc. Editor: Qingze Zou.

J. Dyn. Sys., Meas., Control 136(2), 024501 (Nov 12, 2013) (5 pages) Paper No: DS-12-1122; doi: 10.1115/1.4025671 History: Received April 30, 2012; Revised October 07, 2013

A dynamic mirror actuator utilizing antagonistic piezoelectric stack actuators is presented for use in laser printers. Exhibiting hysteresis and other nonlinearities in open-loop operation, the dynamic mirror actuator (DMA) requires a control structure to achieve accurate mirror positioning. A linear DMA model is developed for extending operational bandwidth under closed-loop control, employing explicit piezoelectric stack actuator (PESA) charging dynamics and incorporating two modes for single input control of opposing PESA drives. Compared to constitutive models from literature, the proposed model displays a comparable fit with experimental frequency response data while retaining a lower model order. As further validation, simulated step response data are shown to agree with experimental data.

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Fig. 1

Schematic diagram of the DMA

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Fig. 2

DMA and control system block diagram

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Fig. 5

Model 1 simulated response (grey) compared to experimental data (black) for 2-active drive mode with (a) 250 mV step input and (b) 1000 mV step input

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Fig. 3

Schematic of a single PESA during operation

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Fig. 4

Model 1 simulated frequency response (dashed) compared to experimental data (solid) for (a) 2-active drive mode and (b) 1-active drive mode



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