RESEARCH PAPERS: Gas Turbines: Structures and Dynamics

Vibration and Control of a Flexible Rotor in Magnetic Bearings Using Hybrid Method and H∞ Control Theory

[+] Author and Article Information
T. N. Shiau

Department of Mechanical Engineering, National Chung Cheng University, Chia Yi, Taiwan

G. J. Sheu, C. D. Yang

Institute of Aeronautics and Astronautics, National Cheng Kung University, Tainan, Taiwan

J. Eng. Gas Turbines Power 119(1), 178-185 (Jan 01, 1997) (8 pages) doi:10.1115/1.2815545 History: Received February 04, 1994; Online November 19, 2007


The vibration and active control of a flexible rotor system with magnetic bearings are investigated using Hybrid Method (HM) and H∞ control theory with consideration of gyroscopic effect. The hybrid method, which combines the merits of the finite element method (FEM) and generalized polynomial expansion method (GPEM) is employed to model the flexible rotor system with small order of plant. The mixed sensitivity problem of H∞ control theory is applied to design the control of system vibration with spillover phenomena for the reduced order plant. The H2 control design is also employed for comparison with the H∞ design. The experimental simulation is used to illustrate the effects of control design. It is shown that the H∞ controller design can be very effective to suppress spillover phenomena. In addition, the H∞ control design has robustness to the variation of the model parameters. The application of the hybrid method (HM) together with H∞ control design is highly recommended for vibration control of flexible rotor systems with magnetic bearings.

Copyright © 1997 by The American Society of Mechanical Engineers
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