Prediction of Input–Output Characteristic Curves of Hydraulic Cylinders Based on Three-Layer BP Neural Network

To predict the variation in the displacement position of hydraulic cylinder piston rods, a neural network model is proposed to enhance the displacement control accuracy of hydraulic cylinders. The innovation of this paper is that by calculating the compressibility-induced flow loss of hydraulic flui...

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Main Authors: Wei Cai, Yirui Zhang, Jianxin Zhang, Shunshun Guo, Rui Guo
Format: Article
Language:English
Published: MDPI AG 2025-03-01
Series:Sensors
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Online Access:https://www.mdpi.com/1424-8220/25/6/1949
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author Wei Cai
Yirui Zhang
Jianxin Zhang
Shunshun Guo
Rui Guo
author_facet Wei Cai
Yirui Zhang
Jianxin Zhang
Shunshun Guo
Rui Guo
author_sort Wei Cai
collection DOAJ
description To predict the variation in the displacement position of hydraulic cylinder piston rods, a neural network model is proposed to enhance the displacement control accuracy of hydraulic cylinders. The innovation of this paper is that by calculating the compressibility-induced flow loss of hydraulic fluid, mathematical models for both the internal and external leakage of hydraulic cylinders are established, identifying seven primary factors influencing piston rod displacement. Because there are many influencing factors and complex parameters different from traditional backpropagation (BP) neural network used in previous studies, this paper innovatively proposes a three-layer BP neural network ensemble model for predicting input–output characteristic curves of hydraulic cylinders. In the process of model improvement, a nonlinear adaptive decreasing weight mechanism is introduced to improve the optimization accuracy of the algorithm, facilitating the search for optimal solutions. The most reasonable weight and bias parameters are determined via the iterative training and testing of each BP neural network layer. This model enables the real-time prediction of piston rod displacement output curves after a specified time interval based on external input parameters. The predicted time is utilized to compensate for the response delays caused by directional valve switching and hydraulic fluid buffering, thereby enabling proactive displacement prediction. Validation results demonstrate that the maximum predicted displacement error is reduced to 0.5491 µm, with the model’s maximum runtime being 27.82 ms. The maximum allowable time allocated for directional valve switching and fluid buffering in the hydraulic system is extended to 74.57 ms, achieving the objective of enhancing both displacement control accuracy and operational efficiency.
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spelling doaj-art-c9c3aaab362b4c348f62ffd65e1563182025-08-20T02:43:03ZengMDPI AGSensors1424-82202025-03-01256194910.3390/s25061949Prediction of Input–Output Characteristic Curves of Hydraulic Cylinders Based on Three-Layer BP Neural NetworkWei Cai0Yirui Zhang1Jianxin Zhang2Shunshun Guo3Rui Guo4State Key Laboratory of Crane Technology, Yanshan University, Qinhuangdao 066004, ChinaSchool of Mechanical Engineering, Yanshan University, Qinhuangdao 066004, ChinaSchool of Mechanical Engineering, Yanshan University, Qinhuangdao 066004, ChinaSchool of Mechanical Engineering, Yanshan University, Qinhuangdao 066004, ChinaState Key Laboratory of Crane Technology, Yanshan University, Qinhuangdao 066004, ChinaTo predict the variation in the displacement position of hydraulic cylinder piston rods, a neural network model is proposed to enhance the displacement control accuracy of hydraulic cylinders. The innovation of this paper is that by calculating the compressibility-induced flow loss of hydraulic fluid, mathematical models for both the internal and external leakage of hydraulic cylinders are established, identifying seven primary factors influencing piston rod displacement. Because there are many influencing factors and complex parameters different from traditional backpropagation (BP) neural network used in previous studies, this paper innovatively proposes a three-layer BP neural network ensemble model for predicting input–output characteristic curves of hydraulic cylinders. In the process of model improvement, a nonlinear adaptive decreasing weight mechanism is introduced to improve the optimization accuracy of the algorithm, facilitating the search for optimal solutions. The most reasonable weight and bias parameters are determined via the iterative training and testing of each BP neural network layer. This model enables the real-time prediction of piston rod displacement output curves after a specified time interval based on external input parameters. The predicted time is utilized to compensate for the response delays caused by directional valve switching and hydraulic fluid buffering, thereby enabling proactive displacement prediction. Validation results demonstrate that the maximum predicted displacement error is reduced to 0.5491 µm, with the model’s maximum runtime being 27.82 ms. The maximum allowable time allocated for directional valve switching and fluid buffering in the hydraulic system is extended to 74.57 ms, achieving the objective of enhancing both displacement control accuracy and operational efficiency.https://www.mdpi.com/1424-8220/25/6/1949hydraulic cylinderdisplacement controlprediction modelBP neural network
spellingShingle Wei Cai
Yirui Zhang
Jianxin Zhang
Shunshun Guo
Rui Guo
Prediction of Input–Output Characteristic Curves of Hydraulic Cylinders Based on Three-Layer BP Neural Network
Sensors
hydraulic cylinder
displacement control
prediction model
BP neural network
title Prediction of Input–Output Characteristic Curves of Hydraulic Cylinders Based on Three-Layer BP Neural Network
title_full Prediction of Input–Output Characteristic Curves of Hydraulic Cylinders Based on Three-Layer BP Neural Network
title_fullStr Prediction of Input–Output Characteristic Curves of Hydraulic Cylinders Based on Three-Layer BP Neural Network
title_full_unstemmed Prediction of Input–Output Characteristic Curves of Hydraulic Cylinders Based on Three-Layer BP Neural Network
title_short Prediction of Input–Output Characteristic Curves of Hydraulic Cylinders Based on Three-Layer BP Neural Network
title_sort prediction of input output characteristic curves of hydraulic cylinders based on three layer bp neural network
topic hydraulic cylinder
displacement control
prediction model
BP neural network
url https://www.mdpi.com/1424-8220/25/6/1949
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AT yiruizhang predictionofinputoutputcharacteristiccurvesofhydrauliccylindersbasedonthreelayerbpneuralnetwork
AT jianxinzhang predictionofinputoutputcharacteristiccurvesofhydrauliccylindersbasedonthreelayerbpneuralnetwork
AT shunshunguo predictionofinputoutputcharacteristiccurvesofhydrauliccylindersbasedonthreelayerbpneuralnetwork
AT ruiguo predictionofinputoutputcharacteristiccurvesofhydrauliccylindersbasedonthreelayerbpneuralnetwork