Sliding Mode Output Feedback Control of a Flexible Rotor Supported by Magnetic BearingsReport as inadecuate

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International Journal of Rotating Machinery - Volume 7 2001, Issue 2, Pages 117-129

The Pennsylvania State University, Applied Research Lab, State College, 16804, PA, USA

Mechanical Engineering Department, The Pennsylvania State University, University Park, 16802, PA, USA

Received 6 August 1999; Revised 16 September 1999

Copyright © 2001 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A new sliding mode feedback algorithm is applied 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 rotormagnetic 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 unbalance and transient disturbances. A boundary layer is introduced around each sliding hyperplane to eliminate the chattering phenomenon. The results from numerical simulations are presented that 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: A. S. Lewis, A. Sinha, and K. W. Wang



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