At present, most of the magnetic bearing system adopts the classical proportional–integral–derivative (PID) control strategy. However, the external disturbances, system parameter perturbations, and many other uncertain disturbances result in PID controller difficult to achieve high performance. To solve this problem, a linear active disturbance rejection controller (LADRC) based on active disturbance rejection controller (ADRC) theory was designed for magnetic bearing. According to the actual prototype parameters, the simulation model was built in matlab/simulink. The step and sinusoidal disturbances with PID and LADRC control strategies were simulated and compared. Then, the experiments of step and sinusoidal disturbances were performed. When control parameters are consistent, the experiment showed that the rotor displacement fluctuation decreased by 28.6% using the LADRC than PID control under step disturbances and decreased by around 25.8% under sinusoidal disturbances. When the rotor is running at 24,000 r/min and 27,000 r/min, the displacement of rotor is reduced by around 15% and 13.7%, respectively. Rotate the rotor with step disturbances and sinusoidal disturbances. It can also be seen that LADRC has the advantages of fast response time and good anti-interference. The experiments indicate that the LADRC has better anti-interference performance compared with PID controller.

References

References
1.
Schweitzer
,
G.
, and
Maslen
,
E. H.
,
2009
,
Magnetic Bearings: Theory, Design, and Application to Rotating Machinery
,
Springer-Verlag
,
Berlin, Heidelberg
.
2.
Noshadi
,
A.
,
Shi
,
J.
,
Lee
,
W. S.
,
Shi
,
P.
, and
Kalam
,
A.
,
2014
, “
High Performance H∞ Control of Non-Minimum Phase Active Magnetic Bearing System
,”
IECON 2014
- 40th Annual Conference of the IEEE Industrial Electronics Society, Dallas, TX, Oct. 29–Nov. 1, pp.
183
189
.
3.
Pesch
,
A. H.
,
Smirnov
,
A.
,
Pyrhönen
,
O.
, and
Sawicki
,
J. T.
,
2015
, “
Magnetic Bearing Spindle Tool Tracking Through μ-Synthesis Robust Control
,”
IEEE/ASME Trans. Mechatronics
,
20
(
3
), pp.
1448
1457
.
4.
Xiang
,
M.
, and
Wei
,
T.
,
2014
, “
Autobalancing of High-Speed Rotors Suspended by Magnetic Bearings Using LMS Adaptive Feedforward Compensation
,”
J. Vib. Control
,
20
(
9
), pp.
1428
1436
.
5.
Yoon
,
S. Y.
,
Di
,
L.
, and
Lin
,
Z.
,
2016
, “
An Output Regulation Approach to Rotor Autobalancing in Active Magnetic Bearing Systems With Input Delay
,”
IEEE International Conference on Advanced Intelligent Mechatronics
(
AIM
), Banff, AB, Canada, July 12–15, pp.
1028
1033
.
6.
Di
,
L.
, and
Lin
,
Z.
,
2014
, “
Control of a Flexible Rotor Active Magnetic Bearing Test Rig: A Characteristic Model Based All-Coefficient Adaptive Control Approach
,”
Control Theory Technol.
,
12
(
1
), pp.
1
12
.
7.
Noshadi
,
A.
,
Shi
,
J.
,
Lee
,
W. S.
,
Shi
,
P.
, and
Kalam
,
A.
,
2016
, “
Optimal PID-Type Fuzzy Logic Controller for a Multi-Input Multi-Output Active Magnetic Bearing System
,”
Neural Comput. Appl.
,
27
(
7
), pp.
2031
2046
.
8.
Anantachaisilp
,
P.
, and
Lin
,
Z.
,
2017
, “
Fractional Order PID Control of Rotor Suspension by Active Magnetic Bearings
,”
J. Appl. Mech. Eng.
,
6
(
1
), p.
4
.
9.
Liu
,
B.
,
Berg
,
J. S.
, and
Laiho
,
A.
,
2016
, “
Optimization-Based Radial Active Magnetic Bearing Controller Design and Verification for Flexible Rotors
,”
Proc. Inst. Mech. Eng., Part I: J. Syst. Control Eng.
,
230
(
4
), pp.
339
351
.
10.
Zhong
,
W.
,
Palazzolo
,
A.
, and
Kang
,
X.
,
2017
, “
Multi-Objective Optimization Design of Nonlinear Magnetic Bearing Rotordynamic System
,”
ASME J. Vib. Acoust.
,
139
(
1
), p.
011011
.
11.
Lee
,
A.
, and
Fan
,
Y.
,
1996
, “
Decentralized PID Control of Magnetic Bearings in a Rotor System
,”
Fifth International Symposium on Magnetic Bearings
, Kanazawa, Japan, Aug. 28–30, pp.
13
18
.
12.
Yang
,
S. M.
,
Sheu
,
G. J.
, and
Yang
,
C. D.
,
2009
, “
Vibration Control of Rotor Systems With Noncollocated Sensor/Actuator by Experimental Design
,”
ASME J. Vib. Acoust.
,
119
(
3
), pp.
420
427
.
13.
Han
,
J.
,
2009
, “
From PID to Active Disturbance Rejection Control
,”
IEEE Trans. Ind. Electron.
,
56
(
3
), pp.
900
906
.
14.
Zhang
,
D.
, and
Wang
,
X.
,
2017
, “
Autonomous Landing Control of Fixed-Wing UAVs: From Theory to Field Experiment
,”
J. Intell. Rob. Syst.
,
88
(
2–4
), pp.
1
16
.
15.
Zhou
,
Z.
, and
Liu
,
D.
,
2011
, “
Double Loop Control for Magnetic Levitation Vibrator Based on Auto Disturbance Rejection
,”
IEEE
International Conference on Mechatronic Science, Electric Engineering and Computer
, Jilin, China, Aug. 19–22, pp.
54
57
.
16.
Alexander
,
B. X. S.
,
Rarick
,
R.
, and
Dong
,
L.
,
2008
, “
A Novel Application of an Extended State Observer for High Performance Control of NASA's HSS Flywheel and Fault Detection
,”
American Control Conference
, Seattle, WA, June 11–13, pp.
5216
5221
.
17.
Zhu
,
X.
,
Li
,
X.
,
Zhang
,
S.
, and
Xie
,
S.
,
2013
, “
Study on Control System of Magnetic Bearing Based on Auto Disturbance Rejection Control Theory
,”
Comput. Meas. Control
,
21
(
6
), pp.
1516
1518
.http://en.cnki.com.cn/Article_en/CJFDTOTAL-JZCK201306036.htm
18.
Huang
,
Y.
,
Cai
,
H.
, and
Bai
,
X.
,
2017
, “
Research on Stability Control of Floated Inertial Platform Based on ADRC
,”
Proc. SPIE
,
10244
, p. 102440M.
19.
Zheng
,
Q.
, and
Gao
,
Z.
,
2006
, “
Motion Control Optimization: Problem and Solutions
,”
Int. J. Intell. Control Syst.
,
10
(
4
), pp.
269
276
.https://www.researchgate.net/publication/228741352_Motion_control_design_optimization_Problem_and_solutions
20.
Gao
,
Z.
,
2003
, “
Scaling and Bandwidth-Parameterization Based Controller Tuning
,”
IEEE
American Control Conference,
Denver, CO, June 4–6, pp.
4989
4996
.
21.
Ren
,
B.
,
Zhong
,
Q.
, and
Dai
,
J.
,
2017
, “
Asymptotic Reference Tracking and Disturbance Rejection of UDE-Based Robust Control
,”
IEEE Trans. Ind. Electron.
,
64
(
4
), pp.
3166
3176
.
22.
Chen
,
X.
,
Li
,
D.
,
Gao
,
Z.
, and
Wang
,
C.
,
2011
, “
Tuning Method for Second-Order Active Disturbance Rejection Control
,”
IEEE
30th Chinese Control Conference (CCC),
Yantai, China, July 22–24, pp.
6322
6327
.https://ieeexplore.ieee.org/document/6001154/
23.
Guo
,
K.
,
2017
, “
Study and Design on Control System of Magnetic Bearing Based on Auto-Disturbance Rejection Control Theory
,” Masters Thesis, Nanjing University of Aeronautics and Astronautics, University in Nanjing, China (In Chinese).
You do not currently have access to this content.