Intelligent Predictive Solution Dynamics for Dahl Hysteresis Model of Piezoelectric Actuator

Piezoelectric actuated models are promising high-performance precision positioning devices used for broad applications in the field of precision machines and nano/micro manufacturing. Piezoelectric actuators involve a nonlinear complex hysteresis that may cause degradation in performance. These hyst...

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Main Authors: Sidra Naz, Muhammad Asif Zahoor Raja, Ammara Mehmood, Aneela Zameer Jaafery
Format: Article
Language:English
Published: MDPI AG 2022-12-01
Series:Micromachines
Subjects:
Online Access:https://www.mdpi.com/2072-666X/13/12/2205
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author Sidra Naz
Muhammad Asif Zahoor Raja
Ammara Mehmood
Aneela Zameer Jaafery
author_facet Sidra Naz
Muhammad Asif Zahoor Raja
Ammara Mehmood
Aneela Zameer Jaafery
author_sort Sidra Naz
collection DOAJ
description Piezoelectric actuated models are promising high-performance precision positioning devices used for broad applications in the field of precision machines and nano/micro manufacturing. Piezoelectric actuators involve a nonlinear complex hysteresis that may cause degradation in performance. These hysteresis effects of piezoelectric actuators are mathematically represented as a second-order system using the Dahl hysteresis model. In this paper, artificial intelligence-based neurocomputing feedforward and backpropagation networks of the Levenberg–Marquardt method (LMM-NNs) and Bayesian Regularization method (BRM-NNs) are exploited to examine the numerical behavior of the Dahl hysteresis model representing a piezoelectric actuator, and the Adams numerical scheme is used to create datasets for various cases. The generated datasets were used as input target values to the neural network to obtain approximated solutions and optimize the values by using backpropagation neural networks of LMM-NNs and BRM-NNs. The performance analysis of LMM-NNs and BRM-NNs of the Dahl hysteresis model of the piezoelectric actuator is validated through convergence curves and accuracy measures via mean squared error and regression analysis.
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spelling doaj.art-207ced3e790c415aa96dd14a328a20892023-11-24T16:45:58ZengMDPI AGMicromachines2072-666X2022-12-011312220510.3390/mi13122205Intelligent Predictive Solution Dynamics for Dahl Hysteresis Model of Piezoelectric ActuatorSidra Naz0Muhammad Asif Zahoor Raja1Ammara Mehmood2Aneela Zameer Jaafery3Department of Electrical Engineering, Pakistan Institute of Engineering and Applied Sciences, Islamabad 45650, PakistanFuture Technology Research Center, National Yunlin University of Science and Technology, Yunlin 64002, TaiwanSchool of Engineering, RMIT University, Melbourne 3001, AustraliaDepartment of Computer and Information Sciences, Pakistan Institute of Engineering and Applied Sciences, Islamabad 45650, PakistanPiezoelectric actuated models are promising high-performance precision positioning devices used for broad applications in the field of precision machines and nano/micro manufacturing. Piezoelectric actuators involve a nonlinear complex hysteresis that may cause degradation in performance. These hysteresis effects of piezoelectric actuators are mathematically represented as a second-order system using the Dahl hysteresis model. In this paper, artificial intelligence-based neurocomputing feedforward and backpropagation networks of the Levenberg–Marquardt method (LMM-NNs) and Bayesian Regularization method (BRM-NNs) are exploited to examine the numerical behavior of the Dahl hysteresis model representing a piezoelectric actuator, and the Adams numerical scheme is used to create datasets for various cases. The generated datasets were used as input target values to the neural network to obtain approximated solutions and optimize the values by using backpropagation neural networks of LMM-NNs and BRM-NNs. The performance analysis of LMM-NNs and BRM-NNs of the Dahl hysteresis model of the piezoelectric actuator is validated through convergence curves and accuracy measures via mean squared error and regression analysis.https://www.mdpi.com/2072-666X/13/12/2205piezoelectric actuatorLevenberg–MarquardtBayesian regularizationintelligent computingdahl hysteresis model
spellingShingle Sidra Naz
Muhammad Asif Zahoor Raja
Ammara Mehmood
Aneela Zameer Jaafery
Intelligent Predictive Solution Dynamics for Dahl Hysteresis Model of Piezoelectric Actuator
Micromachines
piezoelectric actuator
Levenberg–Marquardt
Bayesian regularization
intelligent computing
dahl hysteresis model
title Intelligent Predictive Solution Dynamics for Dahl Hysteresis Model of Piezoelectric Actuator
title_full Intelligent Predictive Solution Dynamics for Dahl Hysteresis Model of Piezoelectric Actuator
title_fullStr Intelligent Predictive Solution Dynamics for Dahl Hysteresis Model of Piezoelectric Actuator
title_full_unstemmed Intelligent Predictive Solution Dynamics for Dahl Hysteresis Model of Piezoelectric Actuator
title_short Intelligent Predictive Solution Dynamics for Dahl Hysteresis Model of Piezoelectric Actuator
title_sort intelligent predictive solution dynamics for dahl hysteresis model of piezoelectric actuator
topic piezoelectric actuator
Levenberg–Marquardt
Bayesian regularization
intelligent computing
dahl hysteresis model
url https://www.mdpi.com/2072-666X/13/12/2205
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AT ammaramehmood intelligentpredictivesolutiondynamicsfordahlhysteresismodelofpiezoelectricactuator
AT aneelazameerjaafery intelligentpredictivesolutiondynamicsfordahlhysteresismodelofpiezoelectricactuator