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Research Papers

Feedforward Feedback Linearization Linear Quadratic Gaussian With Loop Transfer Recovery Control of Piezoelectric Actuator in Active Vibration Isolation System

[+] Author and Article Information
Shuai Wang

Harbin Institute of Technology,
School of Mechatronics Engineering,
92 West Dazhi Street,
Nangang District,
Harbin 150001, China
e-mail: 24778885@qq.com

Zhaobo Chen

Harbin Institute of Technology,
School of Mechatronics Engineering,
92 West Dazhi Street,
Nangang District,
Harbin 150001, China
e-mail: chenzb@hit.edu.cn

Xiaoxiang Liu

Beijing Institute of Control Engineering,
No. 16, South 3rd street,
Zhongguancun, Haidian District,
Beijing 100190, China
e-mail: monkeyfiona@163.com

Yinghou Jiao

Harbin Institute of Technology,
School of Mechatronics Engineering,
92 West Dazhi Street, Nangang District,
Harbin 150001, China
e-mail: jiaoyh@hit.edu.cn

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received November 16, 2017; final manuscript received January 28, 2018; published online February 23, 2018. Assoc. Editor: Stefano Lenci.

J. Vib. Acoust 140(4), 041009 (Feb 23, 2018) (10 pages) Paper No: VIB-17-1500; doi: 10.1115/1.4039245 History: Received November 16, 2017; Revised January 28, 2018

Hysteresis exists widely in intelligent materials, such as piezoelectric and giant magnetostrictive ones, and it significantly affects the precision of vibration control when a controlled object moves at a range of micrometers or even smaller. Many measures must be implemented to eliminate the influence of hysteresis. In this work, the hysteresis characteristic of a proposed piezoelectric actuator (PEA) is tested and modeled based on the adaptive neuro fuzzy inference system (ANFIS). A linearization control method with feedforward hysteresis compensation and proportional–integral–derivative (PID) feedback is established and simulated. A linear quadratic Gaussian with loop transfer recovery (LQG/LTR) regulator is then designed as a vibration controller. Verification experiments are conducted to evaluate the effectiveness of the control method in vibration isolation. Experiment results demonstrate that the proposed vibration control system with a feedforward feedback linearization controller and an LQG/LTR regulator can significantly improve the performance of a vibration isolation system in the frequency range of 5–200 Hz with low energy consumption.

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Figures

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Fig. 1

Prototype and structure of PEA and single-DOF AVIS based on PEA: (a) prototype of PEA, (b) structure of PEA, and (c) the structure of single-DOF AVIS based on PE

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Fig. 2

PEAs output test experiment: (a) experimental setup and (b) schematic of the experiment

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Fig. 3

Hysteresis loops of PEA: (a) decomposition of hysteresis loops, (b) linear component, and (c) hysteresis component

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Fig. 4

The structure of ANFIS with three inputs

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Fig. 5

ANFIS model of hysteresis component: (a) model verification and (b) training RMSE

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Fig. 6

Hysteresis model of PEA comparing with test data

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Fig. 7

Block diagram of feedforward feedback control

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Fig. 8

Linearization control simulation: (a) control result of linearization control and (b) displacement error

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Fig. 9

AVIS verification experiment: (a) experimental setup and (b) schematic

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Fig. 10

Experiments under different frequency sinusoidal excitations: (a) 5, (b) 80, (c) 150, and (d) 200 Hz

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Fig. 11

Input voltage of PEA: (a) 80 and (b) 150 Hz

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Fig. 12

Experimental result of acceleration transmissibility of AVIS

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