Stabilization of the Magnetic Levitation System

This paper contributes toward research on the control of the magnetic levitation plant, representing a typical nonlinear unstable system that can be controlled by various methods. This paper shows two various approaches to the solution of the controller design based on different closed loop requirem...

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Autores principales:	Štefan Chamraz, Mikuláš Huba, Katarína Žáková
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	magnetic levitation stabilization modeling Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999
Acceso en línea:	https://doaj.org/article/9a9f6be19f50428f8fd3d7957662ee21
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id	oai:doaj.org-article:9a9f6be19f50428f8fd3d7957662ee21
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spelling	oai:doaj.org-article:9a9f6be19f50428f8fd3d7957662ee212021-11-11T15:23:49ZStabilization of the Magnetic Levitation System10.3390/app1121103692076-3417https://doaj.org/article/9a9f6be19f50428f8fd3d7957662ee212021-11-01T00:00:00Zhttps://www.mdpi.com/2076-3417/11/21/10369https://doaj.org/toc/2076-3417This paper contributes toward research on the control of the magnetic levitation plant, representing a typical nonlinear unstable system that can be controlled by various methods. This paper shows two various approaches to the solution of the controller design based on different closed loop requirements. Starting from a known unstable linear plant model—the first method is based on the two-step procedure. In the first step, the transfer function of the controlled system is modified to get a stable non-oscillatory system. In the next step, the required first-order dynamic is defined and a model-based PI controller is proposed. The closed loop time constant of this first-order model-based approach can then be used as a tuning parameter. The second set of methods is based on a simplified ultra-local linear approximation of the plant dynamics by the double-integrator plus dead-time (DIPDT) model. Similar to the first method, one possible solution is to stabilize the system by a PD controller combined with a low-pass filter. To eliminate the offset, the stabilized system is supplemented by a simple static feedforward, or by a controller proposed by means of an internal model control (IMC). Another possible approach is to apply for the DIPDT model directly a stabilizing PID controller. The considered solutions are compared to the magnetic levitation system, controlled via the MATLAB/Simulink environment. It is shown that, all three controllers, with integral action, yield much slower dynamics than the stabilizing PD control, which gives one motivation to look for alternative ways of steady-state error compensation, guaranteeing faster setpoint step responses.Štefan ChamrazMikuláš HubaKatarína ŽákováMDPI AGarticlemagnetic levitationstabilizationmodelingTechnologyTEngineering (General). Civil engineering (General)TA1-2040Biology (General)QH301-705.5PhysicsQC1-999ChemistryQD1-999ENApplied Sciences, Vol 11, Iss 10369, p 10369 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	magnetic levitation stabilization modeling Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999
spellingShingle	magnetic levitation stabilization modeling Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999 Štefan Chamraz Mikuláš Huba Katarína Žáková Stabilization of the Magnetic Levitation System
description	This paper contributes toward research on the control of the magnetic levitation plant, representing a typical nonlinear unstable system that can be controlled by various methods. This paper shows two various approaches to the solution of the controller design based on different closed loop requirements. Starting from a known unstable linear plant model—the first method is based on the two-step procedure. In the first step, the transfer function of the controlled system is modified to get a stable non-oscillatory system. In the next step, the required first-order dynamic is defined and a model-based PI controller is proposed. The closed loop time constant of this first-order model-based approach can then be used as a tuning parameter. The second set of methods is based on a simplified ultra-local linear approximation of the plant dynamics by the double-integrator plus dead-time (DIPDT) model. Similar to the first method, one possible solution is to stabilize the system by a PD controller combined with a low-pass filter. To eliminate the offset, the stabilized system is supplemented by a simple static feedforward, or by a controller proposed by means of an internal model control (IMC). Another possible approach is to apply for the DIPDT model directly a stabilizing PID controller. The considered solutions are compared to the magnetic levitation system, controlled via the MATLAB/Simulink environment. It is shown that, all three controllers, with integral action, yield much slower dynamics than the stabilizing PD control, which gives one motivation to look for alternative ways of steady-state error compensation, guaranteeing faster setpoint step responses.
format	article
author	Štefan Chamraz Mikuláš Huba Katarína Žáková
author_facet	Štefan Chamraz Mikuláš Huba Katarína Žáková
author_sort	Štefan Chamraz
title	Stabilization of the Magnetic Levitation System
title_short	Stabilization of the Magnetic Levitation System
title_full	Stabilization of the Magnetic Levitation System
title_fullStr	Stabilization of the Magnetic Levitation System
title_full_unstemmed	Stabilization of the Magnetic Levitation System
title_sort	stabilization of the magnetic levitation system
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/9a9f6be19f50428f8fd3d7957662ee21
work_keys_str_mv	AT stefanchamraz stabilizationofthemagneticlevitationsystem AT mikulashuba stabilizationofthemagneticlevitationsystem AT katarinazakova stabilizationofthemagneticlevitationsystem
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Stabilization of the Magnetic Levitation System

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