Technology Review

A Survey of Modeling and Control Issues for Piezo-electric Actuators

[+] Author and Article Information
Y. Cao

Department of Mechanical Engineering,
University of Saskatchewan,
57 Campus Drive,
Saskatoon S7N 5A9, Canada
e-mail: yuc150@mail.usask.ca

X. B. Chen

Department of Mechanical Engineering,
University of Saskatchewan,
57 Campus Drive,
Saskatoon S7N 5A9, Canada
e-mail: xbc719@mail.usask.ca

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received October 10, 2012; final manuscript received July 16, 2014; published online August 28, 2014. Assoc. Editor: Qingze Zou.

J. Dyn. Sys., Meas., Control 137(1), 014001 (Aug 28, 2014) (13 pages) Paper No: DS-12-1337; doi: 10.1115/1.4028055 History: Received October 10, 2012; Revised July 16, 2014

Piezo-electric actuators (PEAs) have been widely used in nanopositioning applications due to their high stiffness, fast responses, and large actuating forces. However, the existence of nonlinearities such as hysteresis can greatly deteriorate their performance and, as such, modeling and control of PEAs for improved performance has drawn considerable attention in the literature. This paper presents a brief survey of recent achievements in modeling and control of PEAs as well as the relevant issues that remain to be resolved. Specifically, various methods for modeling hysteresis, creep, and vibration dynamics in PEAs are examined, followed by a discussion of the issues leading to modeling errors. Recently reported PEA control schemes are surveyed along with their advantages and disadvantages. The challenges associated with control problems are also discussed.

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Fig. 2

Hysteresis and the wiping out effect: (a) the input voltage to the PEA and (b) the output displacement versus the input voltage

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Fig. 1

Typical structure of a PEA

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Fig. 3

Hysteresis mapping in α − β plane

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Fig. 5

Series of rate-independent hysteresis and linear dynamics

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Fig. 7

Inverse feedforward control

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Fig. 8

Inverse feedforward-based feedback control

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Fig. 6

Grounded load charge amplifier (Reproduced with permission from “A Grounded-Load Charge Amplifier for Reducing Hysteresis in Piezoelectric Tube Scanners,” Rev. Sci. Instrum., 76, p. 073707. Copyright 2005, AIP Publishing LLC) [85].

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Fig. 10

Structure of a disturbance observer-based controller (Reproduced with permission from Choi, Y. J., et al., 2003, “On the Robustness and Performance of Disturbance Observers for Second-Order Systems,” IEEE Trans. Autom. Control, 48(2), pp. 315–320. Copyright 2007 IEEE) [101].

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Fig. 11

Schematic of a system that considers hysteresis to be a disturbance to the dynamics of a PEA (Reproduced with permission from Yi, J. G., et al., 2009, “Disturbance Observer Based Hysteresis Compensation for Piezoelectric Actuators,” IEEE/ASME Trans. Mechatron., 14(4), pp. 456–464, Copyright 2009 IEEE) [102].

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Fig. 9

Iterative control (Reproduced with permission from Wu, Y., and Zou, Q. Z., 2007, “Iterative Control Approach to Compensate for Both the Hysteresis and the Dynamics Effects of Piezo Actuators,” IEEE Trans. Control Syst. Technol., 15(5), pp. 936–944. Copyright 2007 IEEE TCST) [92].

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Fig. 13

Difference between the continuous and discrete SMC systems (Reproduced with permission purchased from Ref. [121])




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