Two-Degrees-of-Freedom PID Control with Kalman Filter for Engraving Machine System

For an engraving machine system with input dynamic disturbance and output random measurement noise, a two-degrees-of-freedom proportional integral derivative (2-DOF PID) control method based on the Kalman filter is firstly proposed in this paper, which can effectively reject the input disturbance an...

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Main Authors: Shijian Dong, Leilei Hao, Yiqin Shao, Jun Liu, Lixin Han
Format: Article
Language:English
Published: MDPI AG 2023-10-01
Series:Actuators
Subjects:
Online Access:https://www.mdpi.com/2076-0825/12/11/399
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author Shijian Dong
Leilei Hao
Yiqin Shao
Jun Liu
Lixin Han
author_facet Shijian Dong
Leilei Hao
Yiqin Shao
Jun Liu
Lixin Han
author_sort Shijian Dong
collection DOAJ
description For an engraving machine system with input dynamic disturbance and output random measurement noise, a two-degrees-of-freedom proportional integral derivative (2-DOF PID) control method based on the Kalman filter is firstly proposed in this paper, which can effectively reject the input disturbance and ensure the set point tracking performance of the controller. The 2-DOF controller consists of a disturbance rejection controller and a set point tracking controller. The disturbance rejection controller is composed of a PID controller based on a disturbance observer and expectation model. The parameters of the set point tracking controller are tuned using a differential evolution algorithm (DE), and the cumulative absolute error value (IAE) is used as the fitness function of the DE algorithm, which can improve the rationality of intelligent parameter tuning. In addition, the Kalman filter is also applied to deal with the output noise to suppress the influence of the output measurement uncertainty. Finally, compared with existing algorithms, the feasibility and superiority of the proposed algorithm are verified using numerical simulation and an experimental test.
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spelling doaj.art-ae8c92fe8164498fbdd5ab88d2198b092023-11-24T14:22:29ZengMDPI AGActuators2076-08252023-10-01121139910.3390/act12110399Two-Degrees-of-Freedom PID Control with Kalman Filter for Engraving Machine SystemShijian Dong0Leilei Hao1Yiqin Shao2Jun Liu3Lixin Han4School of Information and Control Engineering, China University of Mining and Technology, Xuzhou 221116, ChinaSchool of Information and Control Engineering, China University of Mining and Technology, Xuzhou 221116, ChinaKey Laboratory of Intelligent Textile and Flexible Interconnection of Zhejiang Province, Hangzhou 310018, ChinaSchool of Information and Control Engineering, China University of Mining and Technology, Xuzhou 221116, ChinaSchool of Information and Control Engineering, China University of Mining and Technology, Xuzhou 221116, ChinaFor an engraving machine system with input dynamic disturbance and output random measurement noise, a two-degrees-of-freedom proportional integral derivative (2-DOF PID) control method based on the Kalman filter is firstly proposed in this paper, which can effectively reject the input disturbance and ensure the set point tracking performance of the controller. The 2-DOF controller consists of a disturbance rejection controller and a set point tracking controller. The disturbance rejection controller is composed of a PID controller based on a disturbance observer and expectation model. The parameters of the set point tracking controller are tuned using a differential evolution algorithm (DE), and the cumulative absolute error value (IAE) is used as the fitness function of the DE algorithm, which can improve the rationality of intelligent parameter tuning. In addition, the Kalman filter is also applied to deal with the output noise to suppress the influence of the output measurement uncertainty. Finally, compared with existing algorithms, the feasibility and superiority of the proposed algorithm are verified using numerical simulation and an experimental test.https://www.mdpi.com/2076-0825/12/11/399engraving machine systemstwo degrees of freedom PID controldisturbance rejectiondifferential evolution algorithmKalman filter
spellingShingle Shijian Dong
Leilei Hao
Yiqin Shao
Jun Liu
Lixin Han
Two-Degrees-of-Freedom PID Control with Kalman Filter for Engraving Machine System
Actuators
engraving machine systems
two degrees of freedom PID control
disturbance rejection
differential evolution algorithm
Kalman filter
title Two-Degrees-of-Freedom PID Control with Kalman Filter for Engraving Machine System
title_full Two-Degrees-of-Freedom PID Control with Kalman Filter for Engraving Machine System
title_fullStr Two-Degrees-of-Freedom PID Control with Kalman Filter for Engraving Machine System
title_full_unstemmed Two-Degrees-of-Freedom PID Control with Kalman Filter for Engraving Machine System
title_short Two-Degrees-of-Freedom PID Control with Kalman Filter for Engraving Machine System
title_sort two degrees of freedom pid control with kalman filter for engraving machine system
topic engraving machine systems
two degrees of freedom PID control
disturbance rejection
differential evolution algorithm
Kalman filter
url https://www.mdpi.com/2076-0825/12/11/399
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AT yiqinshao twodegreesoffreedompidcontrolwithkalmanfilterforengravingmachinesystem
AT junliu twodegreesoffreedompidcontrolwithkalmanfilterforengravingmachinesystem
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