This paper presents a controller design methodology for vibration suppression of rotor systems in noncollocated sensor/actuator configuration. The methodology combines the experimental design method of quality engineering and the active damping control technique such that their advantages in implementation feasibility and performance-robustness can be integrated together. By using the locations of sensor/actuator and the feedback gains as design parameters, the controller design is shown to achieve a near optimal performance within the two-sigma confidence among all possible parameter combinations. Compared with LQ-based designs, the controller order is smaller and it is applicable to systems in an operation speed range. In addition, neither preselected sensor/actuator location(s) nor state measurement/ estimation is needed.

1.
Balas
M. J.
,
1979
, “
Direct Velocity Feedback Control of Large Space Structure
,”
Journal of Guidance, Control and Dynamics
, Vol.
2
, No.
3
, pp.
252
253
.
2.
Cannon
R. H.
, and
Rosenthal
D. E.
,
1984
, “
Experiments in Control of Flexible Structure with Noncollocated Sensors and Actuators
,”
Journal of Guidance, Control, and Dynamics
, Vol.
7
, pp.
546
553
.
3.
Dhar
D.
, and
Barrett
L. E.
,
1993
, “
Design of Magnetic Bearings for Rotor Systems with Harmonic Excitations
,”
ASME JOURNAL OF VIBRATION AND ACOUSTICS
, Vol.
115
, pp.
359
366
.
4.
Fan
G. W.
,
Nelson
H. D.
, and
Mignolet
M. P.
,
1993
a, “
Optimal Output Feedback Control of Asymmetric Systems Using Complex Modes
,”
ASME Journal of Engineering for Gas Turbines and Power
, Vol.
115
, pp.
307
313
.
5.
Fan
G. W.
,
Nelson
H. D.
,
Crouch
P. E.
, and
Mignolet
M. P.
,
1993
b, “
LQR-Based Least-Squares Output Feedback Control of Rotor Vibrations Using the Complex Mode and Balanced Realization Methods
,”
ASME Journal of Engineering for Gas Turbines and Power
, Vol.
115
, pp.
314
323
.
6.
Humphris
R. R.
,
Kelm
R. D.
,
Lewis
D. W.
, and
Allaire
P. E.
,
1986
, “
Effect of Control Algorithms on Magnetic Journal Bearing Properties
,”
ASME Journal of Engineering for Gas Turbines and Power
, Vol.
108
, pp.
625
632
.
7.
Kasarda
M. E. F.
,
Allaire
P. E.
,
Humphris
R. R.
, and
Barrett
L. E.
,
1990
, “
A Magnetic Damper for First Mode Vibration Reduction in Multimass Flexible Rotors
,”
ASME Journal of Engineering for Gas Turbine and Power
, Vol.
112
, pp.
463
469
.
8.
Kondoh
S.
,
Yatomi
C.
, and
Inoue
K.
,
1990
, “
The Positioning of Sensors and Actuators in the Vibration Control of Flexible Systems
,”
JSME International Journal, Series C
, Vol.
33
, No.
2
, pp.
145
152
.
9.
Lee
A. C.
, and
Chen
S. T.
,
1994
, “
Collocated Sensor/Actuator Positioning and Feedback Design in the Control of Flexible Structure System
,”
ASME JOURNAL OF VIBRATION AND ACOUSTICS
, Vol.
116
, pp.
146
154
.
10.
Liu
Y. C.
, and
Yang
S. M.
,
1993
, “
Three Simple and Effective Methods for Vibration Control of Slewing Flexible Structures
,”
ASME Journal of Dynamic Systems, Measurement, and Control
, Vol.
125
, No.
4
, pp.
725
730
.
11.
Nelson
H. D.
, and
McVaugh
J. M.
,
1976
, “
The Dynamics of Rotor Bearing Systems Using Finite Elements
,”
ASME Journal of Engineering for Industry
, Vol.
98
, No.
2
, pp.
593
600
.
12.
Nelson
H. D.
,
1980
, “
A Finite Rotating Shaft Element Using Timoshenko Beam Theory
,”
ASME Journal of Mechanical Design
, Vol.
102
, No.
4
, pp.
793
803
.
13.
Palazzolo
A. B.
,
Lin
R. R.
,
Kascak
A. F.
, and
Alexander
R. M.
,
1989
, “
Active Control of Transient Rotordynamic Vibration by Optimal Control Methods
,”
ASME Journal of Engineering for Gas Turbine and Power
, Vol.
III
, pp.
264
270
.
14.
Palazzolo
A. B.
,
Jagannathan
S.
,
Kascak
A. F.
,
Montague
G. T.
, and
Kiraly
L. J.
,
1993
, “
Hybrid Active Vibration Control of Rotordynamic Systems Using Piezoelectric Actuators
,”
ASME JOURNAL OF VIBRATION AND ACOUSTICS
, Vol.
115
, pp.
111
119
.
15.
Phadke, M. S., Quality Engineering Using Robust Design, Prentice-Hall, 1989.
16.
Salm
J.
,
1988
, “
Active Electromagnetic Suspension of an Elastic Rotor: Modelling, Control, and Experimental Results
,”
ASME JOURNAL OF VIBRATION, ACOUSTICS, STRESS, AND RELIABILITY IN DESIGN
, Vol.
110
, pp.
493
500
.
17.
Salm, J., and Schweitzer, G., 1984, “Modelling and Control of a Flexible Rotor with Magnetic Bearings,” Proceedings of Conference on Vibrations in Rotating Machinery, York, UK, Paper No; C277.
18.
Schulz
G.
, and
Heimbold
G.
,
1983
, “
Dislocated Actuator/Sensor Positioning and Feedback Design in Flexible Structures
,”
Journal of Guidance, Control, and Dynamics
, Vol.
6
, No.
5
, pp.
361
367
.
19.
Sheu
G. J.
,
Yang
C. D.
, and
Yang
S. M.
,
1997
, “
Design of Experiments for the Controller of Rotor Systems with a Magnetic Bearing
,”
ASME JOURNAL OF VIBRATION AND ACOUSTICS
, Vol.
119
, No.
2
, April, pp.
200
207
.
20.
Yang
C. D.
,
Ju
H. S.
, and
Liu
S. W.
,
1994
, “
Experimental Design of H Weighting Functions for Flight Control Systems
,”
Journal of Guidance, Control and Dynamics
, Vol.
17
, No.
3
, pp.
544
552
.
21.
Yang
S. M.
,
1993
, “
Stability Criteria of Structural Control Systems with Noncollocated Velocity Feedback
,”
AIAA Journal
, Vol.
31
, No.
7
, pp.
1351
1353
.
22.
Yang
S. M.
, and
Lee
Y. J.
,
1993
a, “
Optimization of Non-collocated Sensor/Actuator Location and Feedback Gain in Control Systems
,”
Smart Materials Structures
, Vol.
2
, pp.
96
102
.
23.
Yang
S. M.
, and
Lee
Y. J.
,
1993
b, “
Vibration Suppression with Optimal Sensor/Actuator Location and Feedback Gains
,”
Smart Materials Structures
, Vol.
2
, pp.
232
239
.
24.
Yang
S. M.
, and
Mote
C. D.
,
1991
, “
Stability of Nonconservative Linear Discrete Gyroscopic Systems
,”
Journal of Sound and Vibration
, Vol.
147
, No.
3
, pp.
453
464
.
25.
Zhang
Q.
,
Shelley
S.
, and
Allemang
R. J.
,
1991
, “
Active Damping Design of Flexible Structures Based on SISO and SIMO noncollocated sensor/ actuator Velocity Feedback
,”
ASME Journal of Dynamic Systems, Measurement, and Control
, Vol.
113
, pp.
259
266
.
This content is only available via PDF.
You do not currently have access to this content.