Iterative Learning and Fractional Order PID Hybrid Control for a Piezoelectric Micro-Positioning Platform

The piezoelectric micro-positioning platform(PMP) has advantages in high displacement resolution and fast response, however, the serious hysteresis nonlinearity in the PMP restricts its positioning accuracy. This paper presents a discretization of Krasnosel’skii-Pokrovskii model to descri...

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Main Authors: Miaolei Zhou, Yewei Yu, Jingai Zhang, Wei Gao
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9160963/
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author Miaolei Zhou
Yewei Yu
Jingai Zhang
Wei Gao
author_facet Miaolei Zhou
Yewei Yu
Jingai Zhang
Wei Gao
author_sort Miaolei Zhou
collection DOAJ
description The piezoelectric micro-positioning platform(PMP) has advantages in high displacement resolution and fast response, however, the serious hysteresis nonlinearity in the PMP restricts its positioning accuracy. This paper presents a discretization of Krasnosel’skii-Pokrovskii model to describe the hysteresis nonlinearity of the PMP. Then, the density function is identified online by the adaptive linear neural network. To compensate the intrinsic hysteresis nonlinearity in the PMP, a feedforward compensation control method is implemented by an innovative iterative learning control algorithm. Moreover, a hybrid control method based on iterative learning and fractional order PID control is proposed to further improve the control accuracy. A series of comparative experiments are carried out to validate the feasibility and effectiveness of the proposed control method.
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spelling doaj.art-51b30bc2ad124220861f9461120ccc582022-12-22T03:12:46ZengIEEEIEEE Access2169-35362020-01-01814465414466410.1109/ACCESS.2020.30147259160963Iterative Learning and Fractional Order PID Hybrid Control for a Piezoelectric Micro-Positioning PlatformMiaolei Zhou0https://orcid.org/0000-0003-1664-1024Yewei Yu1https://orcid.org/0000-0003-4223-828XJingai Zhang2Wei Gao3Department of Control Science and Engineering, Jilin University, Changchun, ChinaDepartment of Control Science and Engineering, Jilin University, Changchun, ChinaDepartment of Control Science and Engineering, Jilin University, Changchun, ChinaDepartment of Control Science and Engineering, Jilin University, Changchun, ChinaThe piezoelectric micro-positioning platform(PMP) has advantages in high displacement resolution and fast response, however, the serious hysteresis nonlinearity in the PMP restricts its positioning accuracy. This paper presents a discretization of Krasnosel’skii-Pokrovskii model to describe the hysteresis nonlinearity of the PMP. Then, the density function is identified online by the adaptive linear neural network. To compensate the intrinsic hysteresis nonlinearity in the PMP, a feedforward compensation control method is implemented by an innovative iterative learning control algorithm. Moreover, a hybrid control method based on iterative learning and fractional order PID control is proposed to further improve the control accuracy. A series of comparative experiments are carried out to validate the feasibility and effectiveness of the proposed control method.https://ieeexplore.ieee.org/document/9160963/Piezoelectric micro-positioning platformhysteresis nonlinearityiterative learning controlfractional order PID
spellingShingle Miaolei Zhou
Yewei Yu
Jingai Zhang
Wei Gao
Iterative Learning and Fractional Order PID Hybrid Control for a Piezoelectric Micro-Positioning Platform
IEEE Access
Piezoelectric micro-positioning platform
hysteresis nonlinearity
iterative learning control
fractional order PID
title Iterative Learning and Fractional Order PID Hybrid Control for a Piezoelectric Micro-Positioning Platform
title_full Iterative Learning and Fractional Order PID Hybrid Control for a Piezoelectric Micro-Positioning Platform
title_fullStr Iterative Learning and Fractional Order PID Hybrid Control for a Piezoelectric Micro-Positioning Platform
title_full_unstemmed Iterative Learning and Fractional Order PID Hybrid Control for a Piezoelectric Micro-Positioning Platform
title_short Iterative Learning and Fractional Order PID Hybrid Control for a Piezoelectric Micro-Positioning Platform
title_sort iterative learning and fractional order pid hybrid control for a piezoelectric micro positioning platform
topic Piezoelectric micro-positioning platform
hysteresis nonlinearity
iterative learning control
fractional order PID
url https://ieeexplore.ieee.org/document/9160963/
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