H-infinity controller design for active magnetic bearings considering nonlinear vibrational rotordynamics

This paper deals with optimal controller design for active magnetic bearing (AMB) systems for which nonlinear rotordynamic behavior is evident, and so vibration predicted by operating point linearization differs from that which occurs in actuality. Nonlinear H-infinity control theory is applied with...

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Autores principales:	Matthew O. T. COLE, Chakkapong CHAMROON, Patrick S. KEOGH
Formato:	article
Lenguaje:	EN
Publicado:	The Japan Society of Mechanical Engineers 2017
Materias:	rotor vibration magnetic bearings h-infinity control nonlinear dynamics Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/0cbb7fc7c35b462ea6532f58cd574e4d
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spelling	oai:doaj.org-article:0cbb7fc7c35b462ea6532f58cd574e4d2021-11-26T07:11:27ZH-infinity controller design for active magnetic bearings considering nonlinear vibrational rotordynamics2187-974510.1299/mej.16-00716https://doaj.org/article/0cbb7fc7c35b462ea6532f58cd574e4d2017-08-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/4/5/4_16-00716/_pdf/-char/enhttps://doaj.org/toc/2187-9745This paper deals with optimal controller design for active magnetic bearing (AMB) systems for which nonlinear rotordynamic behavior is evident, and so vibration predicted by operating point linearization differs from that which occurs in actuality. Nonlinear H-infinity control theory is applied with a rotordynamic model involving nonlinear stiffness and/or damping terms. The associated Hamilton-Jacobi-Isaacs (HJI) equation is formulated and solved to obtain a state feedback control law achieving specified vibration attenuation performance in terms of the peak L2 gain of the nonlinear system. The method is applied in case study to a flexible rotor/AMB system that exhibits nonlinear stiffness properties owing to rotor interaction with a clearance bearing. Simulations are performed to quantify RMS vibration due to harmonic disturbances and the results compared with the norm-bound values embedded in the HJI equations. A feedback controller design method is then presented that is similar in approach to the standard loop-shaping/mixed-sensitivity methods used for linear systems, and involves augmenting the system model with weighting transfer functions. Experiments are undertaken to compare controller performance for designs based on nonlinear and linearized models. The results highlight the shortcomings of applying linear optimal control methods with rotor systems exhibiting nonlinear stiffness properties as large amplitude vibration and loss of rotordynamic stability can occur. Application of the described nonlinear H-infinity control method is shown to overcome these problems, albeit at the expense of vibration attenuation performance for operation in linear regimes.Matthew O. T. COLEChakkapong CHAMROONPatrick S. KEOGHThe Japan Society of Mechanical Engineersarticlerotor vibrationmagnetic bearingsh-infinity controlnonlinear dynamicsMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 4, Iss 5, Pp 16-00716-16-00716 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	rotor vibration magnetic bearings h-infinity control nonlinear dynamics Mechanical engineering and machinery TJ1-1570
spellingShingle	rotor vibration magnetic bearings h-infinity control nonlinear dynamics Mechanical engineering and machinery TJ1-1570 Matthew O. T. COLE Chakkapong CHAMROON Patrick S. KEOGH H-infinity controller design for active magnetic bearings considering nonlinear vibrational rotordynamics
description	This paper deals with optimal controller design for active magnetic bearing (AMB) systems for which nonlinear rotordynamic behavior is evident, and so vibration predicted by operating point linearization differs from that which occurs in actuality. Nonlinear H-infinity control theory is applied with a rotordynamic model involving nonlinear stiffness and/or damping terms. The associated Hamilton-Jacobi-Isaacs (HJI) equation is formulated and solved to obtain a state feedback control law achieving specified vibration attenuation performance in terms of the peak L2 gain of the nonlinear system. The method is applied in case study to a flexible rotor/AMB system that exhibits nonlinear stiffness properties owing to rotor interaction with a clearance bearing. Simulations are performed to quantify RMS vibration due to harmonic disturbances and the results compared with the norm-bound values embedded in the HJI equations. A feedback controller design method is then presented that is similar in approach to the standard loop-shaping/mixed-sensitivity methods used for linear systems, and involves augmenting the system model with weighting transfer functions. Experiments are undertaken to compare controller performance for designs based on nonlinear and linearized models. The results highlight the shortcomings of applying linear optimal control methods with rotor systems exhibiting nonlinear stiffness properties as large amplitude vibration and loss of rotordynamic stability can occur. Application of the described nonlinear H-infinity control method is shown to overcome these problems, albeit at the expense of vibration attenuation performance for operation in linear regimes.
format	article
author	Matthew O. T. COLE Chakkapong CHAMROON Patrick S. KEOGH
author_facet	Matthew O. T. COLE Chakkapong CHAMROON Patrick S. KEOGH
author_sort	Matthew O. T. COLE
title	H-infinity controller design for active magnetic bearings considering nonlinear vibrational rotordynamics
title_short	H-infinity controller design for active magnetic bearings considering nonlinear vibrational rotordynamics
title_full	H-infinity controller design for active magnetic bearings considering nonlinear vibrational rotordynamics
title_fullStr	H-infinity controller design for active magnetic bearings considering nonlinear vibrational rotordynamics
title_full_unstemmed	H-infinity controller design for active magnetic bearings considering nonlinear vibrational rotordynamics
title_sort	h-infinity controller design for active magnetic bearings considering nonlinear vibrational rotordynamics
publisher	The Japan Society of Mechanical Engineers
publishDate	2017
url	https://doaj.org/article/0cbb7fc7c35b462ea6532f58cd574e4d
work_keys_str_mv	AT matthewotcole hinfinitycontrollerdesignforactivemagneticbearingsconsideringnonlinearvibrationalrotordynamics AT chakkapongchamroon hinfinitycontrollerdesignforactivemagneticbearingsconsideringnonlinearvibrationalrotordynamics AT patrickskeogh hinfinitycontrollerdesignforactivemagneticbearingsconsideringnonlinearvibrationalrotordynamics
_version_	1718409700373954560

H-infinity controller design for active magnetic bearings considering nonlinear vibrational rotordynamics

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