Nonlinear Control System Design for Active Lubrication of Hydrostatic Thrust Bearing

Nonlinear Control System Design for Active Lubrication of Hydrostatic Thrust Bearing

The active controlled hydrostatic bearing is becoming more and more popular because of its accuracy, safety, as well as low vibration and noise. In this paper, we present a design approach for a hydrostatic thrust bearing system, where the analytical nonlinear state space equation of the system is e...

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Main Authors: Yuanpeng Sha, Changhou Lu, Wei Pan, Shujiang Chen, Peiqi Ge
Format: Article
Language:English
Published: MDPI AG 2020-04-01
Series:Coatings
Subjects:
hydrostatic bearing
feedback linearization
nonlinear control
sliding mode control
Online Access:https://www.mdpi.com/2079-6412/10/4/426
id doaj-8666b01ca5cc4178a087aaf72bb8bca8
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spelling doaj-8666b01ca5cc4178a087aaf72bb8bca82020-11-25T02:04:46ZengMDPI AGCoatings2079-64122020-04-011042642610.3390/coatings10040426Nonlinear Control System Design for Active Lubrication of Hydrostatic Thrust BearingYuanpeng Sha0Changhou Lu1Wei Pan2Shujiang Chen3Peiqi Ge4School of Mechanical Engineering, Shandong University, Jinan 250061, ChinaSchool of Mechanical Engineering, Shandong University, Jinan 250061, ChinaSchool of Mechanical Engineering, Shandong University, Jinan 250061, ChinaSchool of Mechanical Engineering, Shandong University, Jinan 250061, ChinaSchool of Mechanical Engineering, Shandong University, Jinan 250061, ChinaThe active controlled hydrostatic bearing is becoming more and more popular because of its accuracy, safety, as well as low vibration and noise. In this paper, we present a design approach for a hydrostatic thrust bearing system, where the analytical nonlinear state space equation of the system is established first, and then three kinds of control inputs are investigated and compared to each other. It is found that, by selecting the supply pressure as the control input, we could obtain an affine nonlinear system, which could be linearized by the feedback linearization method, and its robustness could be enhanced by the sliding mode control method. The tracking control law could be easily obtained with the linearized system. The simulation verifies the effectiveness of the nonlinear control law. The proposed nonlinear control model might have a positive effect on the improvement of the machining accuracy, safety, and vibration absorption.https://www.mdpi.com/2079-6412/10/4/426hydrostatic bearingfeedback linearizationnonlinear controlsliding mode control
collection DOAJ
language English
format Article
sources DOAJ
author Yuanpeng Sha
Changhou Lu
Wei Pan
Shujiang Chen
Peiqi Ge
spellingShingle Yuanpeng Sha
Changhou Lu
Wei Pan
Shujiang Chen
Peiqi Ge
Nonlinear Control System Design for Active Lubrication of Hydrostatic Thrust Bearing
Coatings
hydrostatic bearing
feedback linearization
nonlinear control
sliding mode control
author_facet Yuanpeng Sha
Changhou Lu
Wei Pan
Shujiang Chen
Peiqi Ge
author_sort Yuanpeng Sha
title Nonlinear Control System Design for Active Lubrication of Hydrostatic Thrust Bearing
title_short Nonlinear Control System Design for Active Lubrication of Hydrostatic Thrust Bearing
title_full Nonlinear Control System Design for Active Lubrication of Hydrostatic Thrust Bearing
title_fullStr Nonlinear Control System Design for Active Lubrication of Hydrostatic Thrust Bearing
title_full_unstemmed Nonlinear Control System Design for Active Lubrication of Hydrostatic Thrust Bearing
title_sort nonlinear control system design for active lubrication of hydrostatic thrust bearing
publisher MDPI AG
series Coatings
issn 2079-6412
publishDate 2020-04-01
description The active controlled hydrostatic bearing is becoming more and more popular because of its accuracy, safety, as well as low vibration and noise. In this paper, we present a design approach for a hydrostatic thrust bearing system, where the analytical nonlinear state space equation of the system is established first, and then three kinds of control inputs are investigated and compared to each other. It is found that, by selecting the supply pressure as the control input, we could obtain an affine nonlinear system, which could be linearized by the feedback linearization method, and its robustness could be enhanced by the sliding mode control method. The tracking control law could be easily obtained with the linearized system. The simulation verifies the effectiveness of the nonlinear control law. The proposed nonlinear control model might have a positive effect on the improvement of the machining accuracy, safety, and vibration absorption.
topic hydrostatic bearing
feedback linearization
nonlinear control
sliding mode control
url https://www.mdpi.com/2079-6412/10/4/426
work_keys_str_mv AT yuanpengsha nonlinearcontrolsystemdesignforactivelubricationofhydrostaticthrustbearing
AT changhoulu nonlinearcontrolsystemdesignforactivelubricationofhydrostaticthrustbearing
AT weipan nonlinearcontrolsystemdesignforactivelubricationofhydrostaticthrustbearing
AT shujiangchen nonlinearcontrolsystemdesignforactivelubricationofhydrostaticthrustbearing
AT peiqige nonlinearcontrolsystemdesignforactivelubricationofhydrostaticthrustbearing
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