Linearizing Control of a Distributed Actuation Magnetic Bearing for Thin-Walled Rotor Systems

This paper describes an exact linearizing control approach for a distributed actuation magnetic bearing (DAMB) supporting a thin-walled rotor. The radial DAMB design incorporates a circular array of compact electromagnetic actuators with multi-coil winding scheme optimized for supporting thin-walled...
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Autor*in:	Chakkapong Chamroon [verfasserIn] Matthew O.T. Cole [verfasserIn] Wichaphon Fakkaew [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2020

Schlagwörter:	active magnetic bearings low bias current vibration control thin-walled structure nonlinear modeling

Übergeordnetes Werk:	In: Actuators - MDPI AG, 2013, 9(2020), 4, p 99
Übergeordnetes Werk:	volume:9 ; year:2020 ; number:4, p 99

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.3390/act9040099

Katalog-ID:	DOAJ040698505

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520			\|a This paper describes an exact linearizing control approach for a distributed actuation magnetic bearing (DAMB) supporting a thin-walled rotor. The radial DAMB design incorporates a circular array of compact electromagnetic actuators with multi-coil winding scheme optimized for supporting thin-walled rotors. A distinguishing feature is that both the x and y components of the radial bearing force are coupled with all four of the supplied coil currents and so a closed form solution for the linearizing equations cannot be obtained. To overcome this issue, a gradient-based root-finding algorithm is proposed to solve the linearizing equations numerically in real-time. The proposed method can be applied with any chosen constraints on current values to achieve low RMS values while avoiding zero-current operating points. The approach is implemented and tested experimentally on a rotor system comprising two radial DAMBs and a uniform cylindrical shell rotor. The results show that the method achieves more accurate reproduction of demanded bearing forces, thereby simplifying the rotor suspension control design and providing improved stability and vibration control performance compared with implementations based on operating point linearization.
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allfields	10.3390/act9040099 doi (DE-627)DOAJ040698505 (DE-599)DOAJ77a66bd99be44187bad227fccb116535 DE-627 ger DE-627 rakwb eng TA401-492 TK1001-1841 Chakkapong Chamroon verfasserin aut Linearizing Control of a Distributed Actuation Magnetic Bearing for Thin-Walled Rotor Systems 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier This paper describes an exact linearizing control approach for a distributed actuation magnetic bearing (DAMB) supporting a thin-walled rotor. The radial DAMB design incorporates a circular array of compact electromagnetic actuators with multi-coil winding scheme optimized for supporting thin-walled rotors. A distinguishing feature is that both the x and y components of the radial bearing force are coupled with all four of the supplied coil currents and so a closed form solution for the linearizing equations cannot be obtained. To overcome this issue, a gradient-based root-finding algorithm is proposed to solve the linearizing equations numerically in real-time. The proposed method can be applied with any chosen constraints on current values to achieve low RMS values while avoiding zero-current operating points. The approach is implemented and tested experimentally on a rotor system comprising two radial DAMBs and a uniform cylindrical shell rotor. The results show that the method achieves more accurate reproduction of demanded bearing forces, thereby simplifying the rotor suspension control design and providing improved stability and vibration control performance compared with implementations based on operating point linearization. active magnetic bearings low bias current vibration control thin-walled structure nonlinear modeling Materials of engineering and construction. Mechanics of materials Production of electric energy or power. Powerplants. Central stations Matthew O.T. Cole verfasserin aut Wichaphon Fakkaew verfasserin aut In Actuators MDPI AG, 2013 9(2020), 4, p 99 (DE-627)726491802 (DE-600)2682469-3 20760825 nnns volume:9 year:2020 number:4, p 99 https://doi.org/10.3390/act9040099 kostenfrei https://doaj.org/article/77a66bd99be44187bad227fccb116535 kostenfrei https://www.mdpi.com/2076-0825/9/4/99 kostenfrei https://doaj.org/toc/2076-0825 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 9 2020 4, p 99
spelling	10.3390/act9040099 doi (DE-627)DOAJ040698505 (DE-599)DOAJ77a66bd99be44187bad227fccb116535 DE-627 ger DE-627 rakwb eng TA401-492 TK1001-1841 Chakkapong Chamroon verfasserin aut Linearizing Control of a Distributed Actuation Magnetic Bearing for Thin-Walled Rotor Systems 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier This paper describes an exact linearizing control approach for a distributed actuation magnetic bearing (DAMB) supporting a thin-walled rotor. The radial DAMB design incorporates a circular array of compact electromagnetic actuators with multi-coil winding scheme optimized for supporting thin-walled rotors. A distinguishing feature is that both the x and y components of the radial bearing force are coupled with all four of the supplied coil currents and so a closed form solution for the linearizing equations cannot be obtained. To overcome this issue, a gradient-based root-finding algorithm is proposed to solve the linearizing equations numerically in real-time. The proposed method can be applied with any chosen constraints on current values to achieve low RMS values while avoiding zero-current operating points. The approach is implemented and tested experimentally on a rotor system comprising two radial DAMBs and a uniform cylindrical shell rotor. The results show that the method achieves more accurate reproduction of demanded bearing forces, thereby simplifying the rotor suspension control design and providing improved stability and vibration control performance compared with implementations based on operating point linearization. active magnetic bearings low bias current vibration control thin-walled structure nonlinear modeling Materials of engineering and construction. Mechanics of materials Production of electric energy or power. Powerplants. Central stations Matthew O.T. Cole verfasserin aut Wichaphon Fakkaew verfasserin aut In Actuators MDPI AG, 2013 9(2020), 4, p 99 (DE-627)726491802 (DE-600)2682469-3 20760825 nnns volume:9 year:2020 number:4, p 99 https://doi.org/10.3390/act9040099 kostenfrei https://doaj.org/article/77a66bd99be44187bad227fccb116535 kostenfrei https://www.mdpi.com/2076-0825/9/4/99 kostenfrei https://doaj.org/toc/2076-0825 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 9 2020 4, p 99
allfields_unstemmed	10.3390/act9040099 doi (DE-627)DOAJ040698505 (DE-599)DOAJ77a66bd99be44187bad227fccb116535 DE-627 ger DE-627 rakwb eng TA401-492 TK1001-1841 Chakkapong Chamroon verfasserin aut Linearizing Control of a Distributed Actuation Magnetic Bearing for Thin-Walled Rotor Systems 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier This paper describes an exact linearizing control approach for a distributed actuation magnetic bearing (DAMB) supporting a thin-walled rotor. The radial DAMB design incorporates a circular array of compact electromagnetic actuators with multi-coil winding scheme optimized for supporting thin-walled rotors. A distinguishing feature is that both the x and y components of the radial bearing force are coupled with all four of the supplied coil currents and so a closed form solution for the linearizing equations cannot be obtained. To overcome this issue, a gradient-based root-finding algorithm is proposed to solve the linearizing equations numerically in real-time. The proposed method can be applied with any chosen constraints on current values to achieve low RMS values while avoiding zero-current operating points. The approach is implemented and tested experimentally on a rotor system comprising two radial DAMBs and a uniform cylindrical shell rotor. The results show that the method achieves more accurate reproduction of demanded bearing forces, thereby simplifying the rotor suspension control design and providing improved stability and vibration control performance compared with implementations based on operating point linearization. active magnetic bearings low bias current vibration control thin-walled structure nonlinear modeling Materials of engineering and construction. Mechanics of materials Production of electric energy or power. Powerplants. Central stations Matthew O.T. Cole verfasserin aut Wichaphon Fakkaew verfasserin aut In Actuators MDPI AG, 2013 9(2020), 4, p 99 (DE-627)726491802 (DE-600)2682469-3 20760825 nnns volume:9 year:2020 number:4, p 99 https://doi.org/10.3390/act9040099 kostenfrei https://doaj.org/article/77a66bd99be44187bad227fccb116535 kostenfrei https://www.mdpi.com/2076-0825/9/4/99 kostenfrei https://doaj.org/toc/2076-0825 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 9 2020 4, p 99
allfieldsGer	10.3390/act9040099 doi (DE-627)DOAJ040698505 (DE-599)DOAJ77a66bd99be44187bad227fccb116535 DE-627 ger DE-627 rakwb eng TA401-492 TK1001-1841 Chakkapong Chamroon verfasserin aut Linearizing Control of a Distributed Actuation Magnetic Bearing for Thin-Walled Rotor Systems 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier This paper describes an exact linearizing control approach for a distributed actuation magnetic bearing (DAMB) supporting a thin-walled rotor. The radial DAMB design incorporates a circular array of compact electromagnetic actuators with multi-coil winding scheme optimized for supporting thin-walled rotors. A distinguishing feature is that both the x and y components of the radial bearing force are coupled with all four of the supplied coil currents and so a closed form solution for the linearizing equations cannot be obtained. To overcome this issue, a gradient-based root-finding algorithm is proposed to solve the linearizing equations numerically in real-time. The proposed method can be applied with any chosen constraints on current values to achieve low RMS values while avoiding zero-current operating points. The approach is implemented and tested experimentally on a rotor system comprising two radial DAMBs and a uniform cylindrical shell rotor. The results show that the method achieves more accurate reproduction of demanded bearing forces, thereby simplifying the rotor suspension control design and providing improved stability and vibration control performance compared with implementations based on operating point linearization. active magnetic bearings low bias current vibration control thin-walled structure nonlinear modeling Materials of engineering and construction. Mechanics of materials Production of electric energy or power. Powerplants. Central stations Matthew O.T. Cole verfasserin aut Wichaphon Fakkaew verfasserin aut In Actuators MDPI AG, 2013 9(2020), 4, p 99 (DE-627)726491802 (DE-600)2682469-3 20760825 nnns volume:9 year:2020 number:4, p 99 https://doi.org/10.3390/act9040099 kostenfrei https://doaj.org/article/77a66bd99be44187bad227fccb116535 kostenfrei https://www.mdpi.com/2076-0825/9/4/99 kostenfrei https://doaj.org/toc/2076-0825 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 9 2020 4, p 99
allfieldsSound	10.3390/act9040099 doi (DE-627)DOAJ040698505 (DE-599)DOAJ77a66bd99be44187bad227fccb116535 DE-627 ger DE-627 rakwb eng TA401-492 TK1001-1841 Chakkapong Chamroon verfasserin aut Linearizing Control of a Distributed Actuation Magnetic Bearing for Thin-Walled Rotor Systems 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier This paper describes an exact linearizing control approach for a distributed actuation magnetic bearing (DAMB) supporting a thin-walled rotor. The radial DAMB design incorporates a circular array of compact electromagnetic actuators with multi-coil winding scheme optimized for supporting thin-walled rotors. A distinguishing feature is that both the x and y components of the radial bearing force are coupled with all four of the supplied coil currents and so a closed form solution for the linearizing equations cannot be obtained. To overcome this issue, a gradient-based root-finding algorithm is proposed to solve the linearizing equations numerically in real-time. The proposed method can be applied with any chosen constraints on current values to achieve low RMS values while avoiding zero-current operating points. The approach is implemented and tested experimentally on a rotor system comprising two radial DAMBs and a uniform cylindrical shell rotor. The results show that the method achieves more accurate reproduction of demanded bearing forces, thereby simplifying the rotor suspension control design and providing improved stability and vibration control performance compared with implementations based on operating point linearization. active magnetic bearings low bias current vibration control thin-walled structure nonlinear modeling Materials of engineering and construction. Mechanics of materials Production of electric energy or power. Powerplants. Central stations Matthew O.T. Cole verfasserin aut Wichaphon Fakkaew verfasserin aut In Actuators MDPI AG, 2013 9(2020), 4, p 99 (DE-627)726491802 (DE-600)2682469-3 20760825 nnns volume:9 year:2020 number:4, p 99 https://doi.org/10.3390/act9040099 kostenfrei https://doaj.org/article/77a66bd99be44187bad227fccb116535 kostenfrei https://www.mdpi.com/2076-0825/9/4/99 kostenfrei https://doaj.org/toc/2076-0825 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 9 2020 4, p 99
language	English
source	In Actuators 9(2020), 4, p 99 volume:9 year:2020 number:4, p 99
sourceStr	In Actuators 9(2020), 4, p 99 volume:9 year:2020 number:4, p 99
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	active magnetic bearings low bias current vibration control thin-walled structure nonlinear modeling Materials of engineering and construction. Mechanics of materials Production of electric energy or power. Powerplants. Central stations
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container_title	Actuators
authorswithroles_txt_mv	Chakkapong Chamroon @@aut@@ Matthew O.T. Cole @@aut@@ Wichaphon Fakkaew @@aut@@
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The radial DAMB design incorporates a circular array of compact electromagnetic actuators with multi-coil winding scheme optimized for supporting thin-walled rotors. A distinguishing feature is that both the x and y components of the radial bearing force are coupled with all four of the supplied coil currents and so a closed form solution for the linearizing equations cannot be obtained. To overcome this issue, a gradient-based root-finding algorithm is proposed to solve the linearizing equations numerically in real-time. The proposed method can be applied with any chosen constraints on current values to achieve low RMS values while avoiding zero-current operating points. The approach is implemented and tested experimentally on a rotor system comprising two radial DAMBs and a uniform cylindrical shell rotor. 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callnumber-first	T - Technology
author	Chakkapong Chamroon
spellingShingle	Chakkapong Chamroon misc TA401-492 misc TK1001-1841 misc active magnetic bearings misc low bias current misc vibration control misc thin-walled structure misc nonlinear modeling misc Materials of engineering and construction. Mechanics of materials misc Production of electric energy or power. Powerplants. Central stations Linearizing Control of a Distributed Actuation Magnetic Bearing for Thin-Walled Rotor Systems
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topic_title	TA401-492 TK1001-1841 Linearizing Control of a Distributed Actuation Magnetic Bearing for Thin-Walled Rotor Systems active magnetic bearings low bias current vibration control thin-walled structure nonlinear modeling
topic	misc TA401-492 misc TK1001-1841 misc active magnetic bearings misc low bias current misc vibration control misc thin-walled structure misc nonlinear modeling misc Materials of engineering and construction. Mechanics of materials misc Production of electric energy or power. Powerplants. Central stations
topic_unstemmed	misc TA401-492 misc TK1001-1841 misc active magnetic bearings misc low bias current misc vibration control misc thin-walled structure misc nonlinear modeling misc Materials of engineering and construction. Mechanics of materials misc Production of electric energy or power. Powerplants. Central stations
topic_browse	misc TA401-492 misc TK1001-1841 misc active magnetic bearings misc low bias current misc vibration control misc thin-walled structure misc nonlinear modeling misc Materials of engineering and construction. Mechanics of materials misc Production of electric energy or power. Powerplants. Central stations
format_facet	Elektronische Aufsätze Aufsätze Elektronische Ressource
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title	Linearizing Control of a Distributed Actuation Magnetic Bearing for Thin-Walled Rotor Systems
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title_full	Linearizing Control of a Distributed Actuation Magnetic Bearing for Thin-Walled Rotor Systems
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title_sort	linearizing control of a distributed actuation magnetic bearing for thin-walled rotor systems
callnumber	TA401-492
title_auth	Linearizing Control of a Distributed Actuation Magnetic Bearing for Thin-Walled Rotor Systems
abstract	This paper describes an exact linearizing control approach for a distributed actuation magnetic bearing (DAMB) supporting a thin-walled rotor. The radial DAMB design incorporates a circular array of compact electromagnetic actuators with multi-coil winding scheme optimized for supporting thin-walled rotors. A distinguishing feature is that both the x and y components of the radial bearing force are coupled with all four of the supplied coil currents and so a closed form solution for the linearizing equations cannot be obtained. To overcome this issue, a gradient-based root-finding algorithm is proposed to solve the linearizing equations numerically in real-time. The proposed method can be applied with any chosen constraints on current values to achieve low RMS values while avoiding zero-current operating points. The approach is implemented and tested experimentally on a rotor system comprising two radial DAMBs and a uniform cylindrical shell rotor. The results show that the method achieves more accurate reproduction of demanded bearing forces, thereby simplifying the rotor suspension control design and providing improved stability and vibration control performance compared with implementations based on operating point linearization.
abstractGer	This paper describes an exact linearizing control approach for a distributed actuation magnetic bearing (DAMB) supporting a thin-walled rotor. The radial DAMB design incorporates a circular array of compact electromagnetic actuators with multi-coil winding scheme optimized for supporting thin-walled rotors. A distinguishing feature is that both the x and y components of the radial bearing force are coupled with all four of the supplied coil currents and so a closed form solution for the linearizing equations cannot be obtained. To overcome this issue, a gradient-based root-finding algorithm is proposed to solve the linearizing equations numerically in real-time. The proposed method can be applied with any chosen constraints on current values to achieve low RMS values while avoiding zero-current operating points. The approach is implemented and tested experimentally on a rotor system comprising two radial DAMBs and a uniform cylindrical shell rotor. The results show that the method achieves more accurate reproduction of demanded bearing forces, thereby simplifying the rotor suspension control design and providing improved stability and vibration control performance compared with implementations based on operating point linearization.
abstract_unstemmed	This paper describes an exact linearizing control approach for a distributed actuation magnetic bearing (DAMB) supporting a thin-walled rotor. The radial DAMB design incorporates a circular array of compact electromagnetic actuators with multi-coil winding scheme optimized for supporting thin-walled rotors. A distinguishing feature is that both the x and y components of the radial bearing force are coupled with all four of the supplied coil currents and so a closed form solution for the linearizing equations cannot be obtained. To overcome this issue, a gradient-based root-finding algorithm is proposed to solve the linearizing equations numerically in real-time. The proposed method can be applied with any chosen constraints on current values to achieve low RMS values while avoiding zero-current operating points. The approach is implemented and tested experimentally on a rotor system comprising two radial DAMBs and a uniform cylindrical shell rotor. The results show that the method achieves more accurate reproduction of demanded bearing forces, thereby simplifying the rotor suspension control design and providing improved stability and vibration control performance compared with implementations based on operating point linearization.
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title_short	Linearizing Control of a Distributed Actuation Magnetic Bearing for Thin-Walled Rotor Systems
url	https://doi.org/10.3390/act9040099 https://doaj.org/article/77a66bd99be44187bad227fccb116535 https://www.mdpi.com/2076-0825/9/4/99 https://doaj.org/toc/2076-0825
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Linearizing Control of a Distributed Actuation Magnetic Bearing for Thin-Walled Rotor Systems

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