The aim of this study was to develop and implement a new control approach dedicated to turbomachinery. The new, fuzzy based controller utilizes inputs expressed in polar coordinates. Its originality is that it manages two significant physical quantities, namely, tangential and radial velocities, associated with steady-state and transient behaviors, respectively. Three controllers are compared for the control of a flexible rotor supported by active magnetic bearings (AMBs): proportional-integral-derivative (PID), single-input and single-output (SISO) fuzzy and the new controller. The assessment was performed using an academic test rig and the results obtained with the new controller show that performances were enhanced with equivalent levels of stability and robustness.

References

References
1.
Maslen
,
E. H.
,
2008
, “
Smart Machine Advances in Rotating Machinery
,”
9th IMechE International Conference on Vibrations in Rotating Machinery, Exeter
,
UK
, September 8–10, pp.
3
14
.
2.
Ransom
,
D.
,
Masala
,
A.
,
Moore
,
J.
,
Vannini
,
G.
, and
Camatti
,
M.
,
2009
, “
Numerical and Experimental Simulation of a Vertical High Speed Motor Compressor Rotor Drop Onto Catcher Bearings
,”
J. Syst. Des. Dyn.
,
3
(
4
), pp.
596
606
.10.1299/jsdd.3.596
3.
Swann
,
M. K.
,
Sarichev
,
A. P.
, and
Tsunoda
,
E.
,
2008
, “
A Diffusion Model for Active Magnetic Bearing Systems in Large Turbomachinery
,” Eleventh International Symposium on Magnetic Bearings (ISMB 11), Nara, Japan, August 26–29, pp.
380
384
.
4.
Schweitzer
,
G.
, and
Maslen
,
E. H.
,
2009
,
Magnetic Bearings, Theory, Design, and Application to Rotating Machinery
,
Springer
,
Berlin
, pp.
535
.
5.
Couzon
,
P.-Y.
, and
Der Hagopian
,
J.
,
2007
, “
Neuro-Fuzzy Active Control of Rotor Suspended on Active Magnetic Bearing
,”
J. Vib. Control
,
13
(
4
), pp.
365
384
.10.1177/1077546307074578
6.
Chen
,
K.
,
Tung
,
P.
,
Tsai
,
M.
, and
Fan
,
Y.
,
2009
, “
A Self-Tuning Fuzzy PID-Type Controller Design for Unbalance Compensation in an Active Magnetic Bearing
,”
Expert Syst. Appl.
,
36
(4), pp.
8560
8570
.10.1016/j.eswa.2008.10.055
7.
Font
,
S.
,
Duc
,
G.
, and
Carrere
,
F.
,
1997
, “
Commande Fréquentielle Robuste—Application aux Paliers Magnétiques
,” Techniques de l'ingénieur, Mesures Analyses, Reference 7432, http://www.techniques-ingenieur.fr/base-documentaire/electronique-automatique-th13/regulation-et-commande-des-systemes-asservis-42394210/commande-frequentielle-robuste-r7432/
8.
Sahinkaya
,
N. M.
,
Abulrub
,
A.-H. G.
,
Burrows
,
C. R.
, and
Keogh
,
P. S.
,
2010
, “
A Multiobjective Adaptive Controller for Magnetic Bearing Systems
,”
ASME J. Eng. Gas Turbines Power
,
132
(
12
), p.
122503
.10.1115/1.4001060
9.
Fittro
,
R. L.
, and
Knospe
,
C. R.
,
2002
, “
The μ Approach to Control of Active Magnetic Bearings
,”
ASME J. Eng. Gas Turbines Power
,
124
(
3
), pp.
566
570
.10.1115/1.1417484
10.
Li
,
G.
,
Lin
,
Z.
,
Allaire
,
P. E.
, and
Luo
,
J.
,
2006
, “
Modelling of a High Speed Rotor Test Rig With Active Magnetic Bearings
,”
ASME J. Vib. Acoust.
,
128
(
3
), pp.
269
271
.10.1115/1.2172254
11.
Lei
,
S.
, and
Palazzolo
,
A. B.
,
2008
, “
Control of Flexible Rotor Systems With Active Magnetic Bearings
,”
J. Sound Vib.
,
314
(
1–2
), pp.
19
38
.10.1016/j.jsv.2007.12.028
12.
Spirig
,
M.
,
Schmied
,
J.
,
Jenckel
,
P.
, and
Kanne
,
U.
,
2002
, “
Three Practical Examples of Magnetic Bearing Control Design Using a Modern Tool
,”
ASME J. Eng. Gas. Turbines Power
,
124
(
4
), pp.
1025
1031
.10.1115/1.1417483
13.
ISO
,
2002
, “
Mechanical Vibration—Vibration of Rotating Machinery Equipped With Active Magnetic Bearings—Part 1: Vocabulary
,” International Organization for Standardization, Geneva, Switzerland, Standard ISO 14839-1:2002.
14.
ISO
,
2004
, “
Mechanical Vibration—Vibration of Rotating Machinery Equipped With Active Magnetic Bearings—Part 2: Evaluation of Vibration
,” International Organization for Standardization, Geneva, Switzerland, Standard ISO 14839-2:2004.
15.
ISO
,
2006
, “
Mechanical Vibration—Vibration of Rotating Machinery Equipped With Active Magnetic Bearings—Part 3: Evaluation of Stability Margin
,” International Organization for Standardization, Geneva, Switzerland, Standard ISO 14839-3:2006.
16.
API
,
2002
, “
Axial and Centrifugal Compressors and Expander–Compressors for Petroleum, Chemical and Gas Industry Service
,”
7th ed.
, American Petroleum Institute, Washington, DC, API Standard 617.
17.
Mahfoud
,
J.
, and
Der Hagopian
,
J.
,
2011
, “
Fuzzy Active Control of Flexible Structures by Using Electromagnetic Actuators
,”
ASCE J. Aerosp. Eng.
,
24
(
3
), pp.
329
337
.10.1061/(ASCE)AS.1943-5525.0000067
18.
Mahlis
,
M.
,
Gaudiller
,
L.
, and
Der Hagopian
,
J.
,
2005
, “
Fuzzy Modal Active Control of the Dynamic Behavior of Flexible Structures
,”
J. Vib. Control
,
11
(1), pp.
67
88
.10.1177/10775463045046028
19.
Borne
,
P.
,
Rozinoer
,
J.
,
Dieulot
,
J.-Y.
, and
Dubois
,
L.
,
1998
,
Introduction à la commande floue
,
Edition Technip
, Paris, pp.
102
.
20.
Fuh
,
C.-C.
, and
Tung
,
P.-C.
,
1997
, “
Robust Stability Analysis of Fuzzy Control Systems
,”
Fuzzy Sets Syst.
,
88
(
3
), pp.
289
298
.10.1016/S0165-0114(96)00087-5
21.
Golob
,
M.
, and
Tovornik
,
B.
,
2003
, “
Modeling and Control of a Magnetic Suspension System
,”
ISA Trans.
,
42
(
1
), pp.
89
100
.10.1016/S0019-0578(07)60116-5
22.
Qiao
,
W. Z.
, and
Mizumoto
,
M.
,
1996
, “
PID Type Fuzzy Controller and Parameters Adaptive Method
,”
Fuzzy Sets Syst.
,
78
(1), pp.
23
35
.10.1016/0165-0114(95)00115-8
23.
Hawkins
,
L. A.
,
Murphy
,
B. T.
, and
Kajs
,
J.
,
2000
, “
Analysis and Testing of a Magnetic Bearing Energy Storage Flywheel With Gain Scheduled, MIMO Control
,”
ASME Turbo Expo
,
Munich, Germany
, May 8–11, ASME Paper No. 2000-GT-405.
24.
Park
,
J.
,
Palazzolo
,
A.
, and
Beach
,
R.
,
2008
, “
MIMO Active Vibration Control of Magnetically Suspended Flywheels for Satellite IPAC Service
,”
ASME J. Dyn. Syst. Meas. Control
,
130
(
4
), p.
041005
.10.1115/1.2936846
25.
Lalanne
,
M.
, and
Ferraris
,
G.
,
1998
,
Rotordynamics Prediction in Engineering
,
2nd ed.
,
Wiley
,
Chichester, UK
, p.
252
.
26.
MathWorks, 2014
, “
The MathWorks—Matlab and Simulink for Technical Computing
,” The MathWorks Inc., Natick, MA, www.mathworks.com
27.
Javier Traver
,
V.
, and
Bernardino
,
A.
,
2010
, “
A Review of Log-Polar Imaging for Visual Perception in Robotics
,”
Rob. Autonom. Syst.
,
58
(4), pp.
378
398
.10.1016/j.robot.2009.10.002
28.
Astolfi
,
A.
,
1999
, “
Exponential Stabilization of a Wheeled Mobile Robot Via Discontinuous Control
,”
ASME J. Dyn. Syst. Meas. Control
,
121
(
1
), pp.
121
126
.10.1115/1.2802429
You do not currently have access to this content.