Sliding mode output feedback control of a flexible rotor via magnetic bearings

A. S. Lewis, A. Sinha, L. W. Wang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A sliding mode feedback algorithm is proposed to control the vibration of a flexible rotor supported by magnetic bearings. It is assumed that the number of states is greater than the number of sensors. A mathematical model of the rotor/magnetic bearing system is presented in terns of partial differential equations. These equations are then discretized into a finite number of ordinary differential equations through Galerkin's method. The sliding mode control law is designed to be robust to rotor unbalance and transient disturbances. A boundary layer is introduced around each sliding byperpiane to eliminate the chattering phenomenon. The results from numerical simulations are presented which not only corroborate the validity of the proposed controller, but also show the effects of various control parameters as a function of the angular speed of the rotor. In addition, results are presented that indicate how the current required by the magnetic bearings is affected by control parameters and the angular speed of the rotor.

Original languageEnglish (US)
Title of host publicationManufacturing Materials and Metallurgy; Ceramics; Structures and Dynamics; Controls, Diagnostics and Instrumentation; Education
PublisherAmerican Society of Mechanical Engineers (ASME)
ISBN (Electronic)9780791878668
DOIs
StatePublished - Jan 1 1998
EventASME 1998 International Gas Turbine and Aeroengine Congress and Exhibition, GT 1998 - Stockholm, Sweden
Duration: Jun 2 1998Jun 5 1998

Publication series

NameProceedings of the ASME Turbo Expo
Volume5

Other

OtherASME 1998 International Gas Turbine and Aeroengine Congress and Exhibition, GT 1998
CountrySweden
CityStockholm
Period6/2/986/5/98

Fingerprint

Magnetic bearings
Feedback control
Rotors
Sliding mode control
Galerkin methods
Ordinary differential equations
Partial differential equations
Boundary layers
Mathematical models
Feedback
Controllers
Sensors
Computer simulation

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

Lewis, A. S., Sinha, A., & Wang, L. W. (1998). Sliding mode output feedback control of a flexible rotor via magnetic bearings. In Manufacturing Materials and Metallurgy; Ceramics; Structures and Dynamics; Controls, Diagnostics and Instrumentation; Education (Proceedings of the ASME Turbo Expo; Vol. 5). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/98-GT-407
Lewis, A. S. ; Sinha, A. ; Wang, L. W. / Sliding mode output feedback control of a flexible rotor via magnetic bearings. Manufacturing Materials and Metallurgy; Ceramics; Structures and Dynamics; Controls, Diagnostics and Instrumentation; Education. American Society of Mechanical Engineers (ASME), 1998. (Proceedings of the ASME Turbo Expo).
@inproceedings{4e6978003fc74327ac77087565148085,
title = "Sliding mode output feedback control of a flexible rotor via magnetic bearings",
abstract = "A sliding mode feedback algorithm is proposed to control the vibration of a flexible rotor supported by magnetic bearings. It is assumed that the number of states is greater than the number of sensors. A mathematical model of the rotor/magnetic bearing system is presented in terns of partial differential equations. These equations are then discretized into a finite number of ordinary differential equations through Galerkin's method. The sliding mode control law is designed to be robust to rotor unbalance and transient disturbances. A boundary layer is introduced around each sliding byperpiane to eliminate the chattering phenomenon. The results from numerical simulations are presented which not only corroborate the validity of the proposed controller, but also show the effects of various control parameters as a function of the angular speed of the rotor. In addition, results are presented that indicate how the current required by the magnetic bearings is affected by control parameters and the angular speed of the rotor.",
author = "Lewis, {A. S.} and A. Sinha and Wang, {L. W.}",
year = "1998",
month = "1",
day = "1",
doi = "10.1115/98-GT-407",
language = "English (US)",
series = "Proceedings of the ASME Turbo Expo",
publisher = "American Society of Mechanical Engineers (ASME)",
booktitle = "Manufacturing Materials and Metallurgy; Ceramics; Structures and Dynamics; Controls, Diagnostics and Instrumentation; Education",

}

Lewis, AS, Sinha, A & Wang, LW 1998, Sliding mode output feedback control of a flexible rotor via magnetic bearings. in Manufacturing Materials and Metallurgy; Ceramics; Structures and Dynamics; Controls, Diagnostics and Instrumentation; Education. Proceedings of the ASME Turbo Expo, vol. 5, American Society of Mechanical Engineers (ASME), ASME 1998 International Gas Turbine and Aeroengine Congress and Exhibition, GT 1998, Stockholm, Sweden, 6/2/98. https://doi.org/10.1115/98-GT-407

Sliding mode output feedback control of a flexible rotor via magnetic bearings. / Lewis, A. S.; Sinha, A.; Wang, L. W.

Manufacturing Materials and Metallurgy; Ceramics; Structures and Dynamics; Controls, Diagnostics and Instrumentation; Education. American Society of Mechanical Engineers (ASME), 1998. (Proceedings of the ASME Turbo Expo; Vol. 5).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

TY - GEN

T1 - Sliding mode output feedback control of a flexible rotor via magnetic bearings

AU - Lewis, A. S.

AU - Sinha, A.

AU - Wang, L. W.

PY - 1998/1/1

Y1 - 1998/1/1

N2 - A sliding mode feedback algorithm is proposed to control the vibration of a flexible rotor supported by magnetic bearings. It is assumed that the number of states is greater than the number of sensors. A mathematical model of the rotor/magnetic bearing system is presented in terns of partial differential equations. These equations are then discretized into a finite number of ordinary differential equations through Galerkin's method. The sliding mode control law is designed to be robust to rotor unbalance and transient disturbances. A boundary layer is introduced around each sliding byperpiane to eliminate the chattering phenomenon. The results from numerical simulations are presented which not only corroborate the validity of the proposed controller, but also show the effects of various control parameters as a function of the angular speed of the rotor. In addition, results are presented that indicate how the current required by the magnetic bearings is affected by control parameters and the angular speed of the rotor.

AB - A sliding mode feedback algorithm is proposed to control the vibration of a flexible rotor supported by magnetic bearings. It is assumed that the number of states is greater than the number of sensors. A mathematical model of the rotor/magnetic bearing system is presented in terns of partial differential equations. These equations are then discretized into a finite number of ordinary differential equations through Galerkin's method. The sliding mode control law is designed to be robust to rotor unbalance and transient disturbances. A boundary layer is introduced around each sliding byperpiane to eliminate the chattering phenomenon. The results from numerical simulations are presented which not only corroborate the validity of the proposed controller, but also show the effects of various control parameters as a function of the angular speed of the rotor. In addition, results are presented that indicate how the current required by the magnetic bearings is affected by control parameters and the angular speed of the rotor.

UR - http://www.scopus.com/inward/record.url?scp=84973165243&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84973165243&partnerID=8YFLogxK

U2 - 10.1115/98-GT-407

DO - 10.1115/98-GT-407

M3 - Conference contribution

AN - SCOPUS:84973165243

T3 - Proceedings of the ASME Turbo Expo

BT - Manufacturing Materials and Metallurgy; Ceramics; Structures and Dynamics; Controls, Diagnostics and Instrumentation; Education

PB - American Society of Mechanical Engineers (ASME)

ER -

Lewis AS, Sinha A, Wang LW. Sliding mode output feedback control of a flexible rotor via magnetic bearings. In Manufacturing Materials and Metallurgy; Ceramics; Structures and Dynamics; Controls, Diagnostics and Instrumentation; Education. American Society of Mechanical Engineers (ASME). 1998. (Proceedings of the ASME Turbo Expo). https://doi.org/10.1115/98-GT-407