Smooth voltage controller and observer for a three-pole active magnetic bearing system

In this study, a simple and smooth voltage controller for a three-pole active magnetic bearing (AMB) system is proposed. It is designed with the backstepping procedure. The first step assumes the currents as the control inputs and designs the smooth current controller that has been proposed in the l...

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Main Authors: Shyh-Leh CHEN, Yung-Ho HSIAO
Format: Article
Language:English
Published: The Japan Society of Mechanical Engineers 2017-09-01
Series:Mechanical Engineering Journal
Subjects:
Online Access:https://www.jstage.jst.go.jp/article/mej/4/5/4_16-00718/_pdf/-char/en
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author Shyh-Leh CHEN
Yung-Ho HSIAO
author_facet Shyh-Leh CHEN
Yung-Ho HSIAO
author_sort Shyh-Leh CHEN
collection DOAJ
description In this study, a simple and smooth voltage controller for a three-pole active magnetic bearing (AMB) system is proposed. It is designed with the backstepping procedure. The first step assumes the currents as the control inputs and designs the smooth current controller that has been proposed in the literature. The second step considers that the currents are not actual inputs, but part of the states. Then, the actual control inputs (voltages) are designed using simple proportional and integral (PI) control to make the error states from the first step to be zero asymptotically. Based on the voltage-controlled AMB system, an observer is designed for the rotor displacement estimation. The observer is based on the input voltages and coil currents that drive the magnetic poles. Such an observer can be utilized in the sensorless control of the AMB system. Due to the strong nonlinearity in the dynamics of 3-pole AMB system, the theory of nonlinear high-gain observer is adopted to design the observer. First, it is shown that the strong nonlinear 3-pole AMB system is observable under the zero input condition, which guarantees the existence of a high-gain observer. Then, the system is transformed into a regular form for the design of observer. Finally, a nonlinear observer is designed following the theory of high-gain observer. The proposed smooth voltage controller and nonlinear observer are verified numerically and experimentally. The results show the effectiveness of the smooth voltage controller and the feasibility of the nonlinear high-gain observer.
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spelling doaj.art-4462fa5c112e4836a4e467793ed4d9ad2022-12-21T21:51:54ZengThe Japan Society of Mechanical EngineersMechanical Engineering Journal2187-97452017-09-014516-0071816-0071810.1299/mej.16-00718mejSmooth voltage controller and observer for a three-pole active magnetic bearing systemShyh-Leh CHEN0Yung-Ho HSIAO1Mechanical Engineering and Advanced Institute of Manufacturing with High-tech Innovations National Chung Cheng UniversityDepartment of Mechanical Engineering National Chung Cheng UniversityIn this study, a simple and smooth voltage controller for a three-pole active magnetic bearing (AMB) system is proposed. It is designed with the backstepping procedure. The first step assumes the currents as the control inputs and designs the smooth current controller that has been proposed in the literature. The second step considers that the currents are not actual inputs, but part of the states. Then, the actual control inputs (voltages) are designed using simple proportional and integral (PI) control to make the error states from the first step to be zero asymptotically. Based on the voltage-controlled AMB system, an observer is designed for the rotor displacement estimation. The observer is based on the input voltages and coil currents that drive the magnetic poles. Such an observer can be utilized in the sensorless control of the AMB system. Due to the strong nonlinearity in the dynamics of 3-pole AMB system, the theory of nonlinear high-gain observer is adopted to design the observer. First, it is shown that the strong nonlinear 3-pole AMB system is observable under the zero input condition, which guarantees the existence of a high-gain observer. Then, the system is transformed into a regular form for the design of observer. Finally, a nonlinear observer is designed following the theory of high-gain observer. The proposed smooth voltage controller and nonlinear observer are verified numerically and experimentally. The results show the effectiveness of the smooth voltage controller and the feasibility of the nonlinear high-gain observer.https://www.jstage.jst.go.jp/article/mej/4/5/4_16-00718/_pdf/-char/enactive magnetic bearingthree-polevoltage-controlledsmooth controllernonlinear observer
spellingShingle Shyh-Leh CHEN
Yung-Ho HSIAO
Smooth voltage controller and observer for a three-pole active magnetic bearing system
Mechanical Engineering Journal
active magnetic bearing
three-pole
voltage-controlled
smooth controller
nonlinear observer
title Smooth voltage controller and observer for a three-pole active magnetic bearing system
title_full Smooth voltage controller and observer for a three-pole active magnetic bearing system
title_fullStr Smooth voltage controller and observer for a three-pole active magnetic bearing system
title_full_unstemmed Smooth voltage controller and observer for a three-pole active magnetic bearing system
title_short Smooth voltage controller and observer for a three-pole active magnetic bearing system
title_sort smooth voltage controller and observer for a three pole active magnetic bearing system
topic active magnetic bearing
three-pole
voltage-controlled
smooth controller
nonlinear observer
url https://www.jstage.jst.go.jp/article/mej/4/5/4_16-00718/_pdf/-char/en
work_keys_str_mv AT shyhlehchen smoothvoltagecontrollerandobserverforathreepoleactivemagneticbearingsystem
AT yunghohsiao smoothvoltagecontrollerandobserverforathreepoleactivemagneticbearingsystem