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 terms 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 imbalance and transient disturbances. A boundary layer is introduced around each sliding hyperplane 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.
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ASME 1998 International Gas Turbine and Aeroengine Congress and Exhibition
June 2–5, 1998
Stockholm, Sweden
Conference Sponsors:
- International Gas Turbine Institute
ISBN:
978-0-7918-7866-8
PROCEEDINGS PAPER
Sliding Mode Output Feedback Control of a Flexible Rotor via Magnetic Bearings Free
A. S. Lewis,
A. S. Lewis
The Pennsylvania State University, University Park, PA
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A. Sinha,
A. Sinha
The Pennsylvania State University, University Park, PA
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K. W. Wang
K. W. Wang
The Pennsylvania State University, University Park, PA
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A. S. Lewis
The Pennsylvania State University, University Park, PA
A. Sinha
The Pennsylvania State University, University Park, PA
K. W. Wang
The Pennsylvania State University, University Park, PA
Paper No:
98-GT-407, V005T14A034; 7 pages
Published Online:
December 23, 2014
Citation
Lewis, AS, Sinha, A, & Wang, KW. "Sliding Mode Output Feedback Control of a Flexible Rotor via Magnetic Bearings." Proceedings of the ASME 1998 International Gas Turbine and Aeroengine Congress and Exhibition. Volume 5: Manufacturing Materials and Metallurgy; Ceramics; Structures and Dynamics; Controls, Diagnostics and Instrumentation; Education. Stockholm, Sweden. June 2–5, 1998. V005T14A034. ASME. https://doi.org/10.1115/98-GT-407
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