Design of Experiments for the Controller of Rotor Systems With a Magnetic Bearing

A new design methodology for the vibration control of rotor systems with a magnetic bearing is developed in this paper. The methodology combines the experimental design method in quality control engineering and the conventional PD control technique such that their advantages in implementation feasibility and performance-robustness can be integrated together. A quality loss index defined by the summation of the infinity norm of unbalanced vibration is used to characterize the system dynamics. By using the location of the magnetic bearing and PD feedback gains as design parameters, the controller can be determined by a small number ofmatrix experiments to achieve the best system performance. In addition, it is robust to the vibration modes within a desired speed range. A rotor system consisting of rigid disks, 3 isotropic bearings, and l magnetic bearing is applied to illustrate the feasibility and effectiveness of the experiment-aided controller design.

[1]  M. S. Phadke,et al.  Quality Engineering using Design of Experiments , 1989 .

[2]  Marc P. Mignolet,et al.  Optimal Output Feedback Control of Asymmetric Systems Using Complex Modes , 1993 .

[3]  R. Stanway,et al.  Modelling and Control of Turbomachinery Vibrations , 1988 .

[4]  Sidney Addelman,et al.  trans-Dimethanolbis(1,1,1-trifluoro-5,5-dimethylhexane-2,4-dionato)zinc(II) , 2008, Acta crystallographica. Section E, Structure reports online.

[5]  Madhan Shridhar Phadke,et al.  Quality Engineering Using Robust Design , 1989 .

[6]  Marc P. Mignolet,et al.  LQR-Based Least-Squares Output Feedback Control of Rotor Vibrations Using the Complex Mode and Balanced Realization Methods , 1993 .

[7]  H. D. Nelson.  A Finite Rotating Shaft Element Using Timoshenko Beam Theory , 1980 .

[8]  P. E. Allaire,et al.  Active Vibration Control of a Single Mass Rotor on Flexible Supports , 1983 .

[9]  Gerald T. Montague,et al.  Hybrid Active Vibration Control of Rotorbearing Systems Using Piezoelectric Actuators , 1993 .

[10]  V. K. Jain,et al.  Feedback control of a single mass rotor on rigid supports , 1981 .

[11]  J. R. Salm.  Active Electromagnetic Suspension of an Elastic Rotor: Modelling, Control, and Experimental Results , 1988 .

[12]  G. Schulz,et al.  Dislocated actuator/sensor positioning and feedback design for flexible structures , 1983 .

[13]  Paul E. Allaire,et al.  A magnetic damper for first-mode vibration reduction in multimass flexible rotors , 1990 .

[14]  Shih-Ming Yang.  Stability Criteria of Structural Control with Systems Noncolocated Velocity Feedback , 1993 .

[15]  Lloyd E. Barrett,et al.  Design of magnetic bearings for rotor systems with harmonic excitations , 1993 .

[16]  H. D. Nelson,et al.  The Dynamics of Rotor-Bearing Systems Using Finite Elements , 1976 .

[17]  Ciann-Dong Yang,et al.  Experimental design of H-infinity weighting functions for flight control systems , 1994 .

[18]  Alan Palazzolo,et al.  Active control of transient rotordynamic vibration by optimal control methods , 1989 .

[19]  Paul E. Allaire,et al.  Effect of Control Algorithms on Magnetic Journal Bearing Properties , 1986 .