Nonlinear Control of Magnetically Coupled Rodless Cylinder Position Servo System

Abstract Magnetically coupled rodless cylinders are widely used in the coordinate positioning of mechanical arms, electrostatic paintings, and other industrial applications. However, they exhibit strong nonlinear characteristics, which lead to low servo control accuracy. In this study, a mass-flow e...

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Main Authors: Yeming Zhang, Demin Kong, Gonghua Jin, Yan Shi, Maolin Cai, Shuping Li, Baozhan Lv
Format: Article
Language:English
Published: SpringerOpen 2023-12-01
Series:Chinese Journal of Mechanical Engineering
Subjects:
Online Access:https://doi.org/10.1186/s10033-023-00971-w
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author Yeming Zhang
Demin Kong
Gonghua Jin
Yan Shi
Maolin Cai
Shuping Li
Baozhan Lv
author_facet Yeming Zhang
Demin Kong
Gonghua Jin
Yan Shi
Maolin Cai
Shuping Li
Baozhan Lv
author_sort Yeming Zhang
collection DOAJ
description Abstract Magnetically coupled rodless cylinders are widely used in the coordinate positioning of mechanical arms, electrostatic paintings, and other industrial applications. However, they exhibit strong nonlinear characteristics, which lead to low servo control accuracy. In this study, a mass-flow equation through the valve port was derived to improve the control performance, considering the characteristics of the dynamics and throttle-hole flow. Subsequently, a friction model combining static, viscous, and Coulomb friction with a zero-velocity interval was proposed. In addition, energy and dynamic models were set for the experimental investigation of the magnetically coupled rodless cylinder. A nonlinear mathematical model for the position of the magnetically coupled rodless cylinder was proposed. An incremental PID controller was designed for the magnetically coupled rodless cylinder to control this system, and the PID parameters were adjusted online using RBF neural network. The response results of the PID parameters based on the RBF neural network were compared with those of the traditional incremental PID control, which proved the superiority of the optimization control algorithm of the incremental PID parameters based on the RBF neural network servo control system. The experimental results of this model were compared with the simulation results. The average error between the established model and the actual system was 0.005175054 (m), which was approximately 2.588% of the total travel length, demonstrating the accuracy of the theoretical model.
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spelling doaj.art-f4986f13af3347fd94887cc95f4539cd2023-12-10T12:09:54ZengSpringerOpenChinese Journal of Mechanical Engineering2192-82582023-12-0136111810.1186/s10033-023-00971-wNonlinear Control of Magnetically Coupled Rodless Cylinder Position Servo SystemYeming Zhang0Demin Kong1Gonghua Jin2Yan Shi3Maolin Cai4Shuping Li5Baozhan Lv6School of Mechanical and Power Engineering, Henan Polytechnic UniversitySchool of Mechanical and Power Engineering, Henan Polytechnic UniversitySchool of Mechanical and Power Engineering, Henan Polytechnic UniversitySchool of Automation Science and Electrical Engineering, Beihang UniversitySchool of Automation Science and Electrical Engineering, Beihang UniversitySchool of Mechanical and Power Engineering, Henan Polytechnic UniversitySchool of Mechanical and Power Engineering, Henan Polytechnic UniversityAbstract Magnetically coupled rodless cylinders are widely used in the coordinate positioning of mechanical arms, electrostatic paintings, and other industrial applications. However, they exhibit strong nonlinear characteristics, which lead to low servo control accuracy. In this study, a mass-flow equation through the valve port was derived to improve the control performance, considering the characteristics of the dynamics and throttle-hole flow. Subsequently, a friction model combining static, viscous, and Coulomb friction with a zero-velocity interval was proposed. In addition, energy and dynamic models were set for the experimental investigation of the magnetically coupled rodless cylinder. A nonlinear mathematical model for the position of the magnetically coupled rodless cylinder was proposed. An incremental PID controller was designed for the magnetically coupled rodless cylinder to control this system, and the PID parameters were adjusted online using RBF neural network. The response results of the PID parameters based on the RBF neural network were compared with those of the traditional incremental PID control, which proved the superiority of the optimization control algorithm of the incremental PID parameters based on the RBF neural network servo control system. The experimental results of this model were compared with the simulation results. The average error between the established model and the actual system was 0.005175054 (m), which was approximately 2.588% of the total travel length, demonstrating the accuracy of the theoretical model.https://doi.org/10.1186/s10033-023-00971-wMagnetically coupled rodless cylinderNonlinear modelPosition controlRadial basis function neural network (RBF-NN)Neural network (NN)
spellingShingle Yeming Zhang
Demin Kong
Gonghua Jin
Yan Shi
Maolin Cai
Shuping Li
Baozhan Lv
Nonlinear Control of Magnetically Coupled Rodless Cylinder Position Servo System
Chinese Journal of Mechanical Engineering
Magnetically coupled rodless cylinder
Nonlinear model
Position control
Radial basis function neural network (RBF-NN)
Neural network (NN)
title Nonlinear Control of Magnetically Coupled Rodless Cylinder Position Servo System
title_full Nonlinear Control of Magnetically Coupled Rodless Cylinder Position Servo System
title_fullStr Nonlinear Control of Magnetically Coupled Rodless Cylinder Position Servo System
title_full_unstemmed Nonlinear Control of Magnetically Coupled Rodless Cylinder Position Servo System
title_short Nonlinear Control of Magnetically Coupled Rodless Cylinder Position Servo System
title_sort nonlinear control of magnetically coupled rodless cylinder position servo system
topic Magnetically coupled rodless cylinder
Nonlinear model
Position control
Radial basis function neural network (RBF-NN)
Neural network (NN)
url https://doi.org/10.1186/s10033-023-00971-w
work_keys_str_mv AT yemingzhang nonlinearcontrolofmagneticallycoupledrodlesscylinderpositionservosystem
AT deminkong nonlinearcontrolofmagneticallycoupledrodlesscylinderpositionservosystem
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AT yanshi nonlinearcontrolofmagneticallycoupledrodlesscylinderpositionservosystem
AT maolincai nonlinearcontrolofmagneticallycoupledrodlesscylinderpositionservosystem
AT shupingli nonlinearcontrolofmagneticallycoupledrodlesscylinderpositionservosystem
AT baozhanlv nonlinearcontrolofmagneticallycoupledrodlesscylinderpositionservosystem