Sliding Mode Output Feedback Control of a Flexible Rotor Supported by Magnetic Bearings

International Journal of Rotating Machinery

K. W. Wang¹  A.Sinha¹  A. S. Lewis² 

[1] Mechanical Engineering Department, The Pennsylvania State University,University Park, 16802, PA, USA;The Pennsylvania State University, Applied Research Lab, State College, 16804, PA, USA;

关键词: Magnetic bearings;    Sliding mode control;    Flexible rotor;    Rotor unbalance;    Vibration.;   

DOI  :  10.1155/S1023621X01000100

来源: DOAJ

【 摘 要 】

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 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 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.

【 授权许可】

Unknown