Abstract
In the study, a novel fuzzy generalized predictive control (GPC) scheme is proposed for the stability control of nonlinear brushless DC motor (BLDCM). First, the fuzzy predictive model of BLDCM is presented via Takagi–Sugeno fuzzy model. Then, based on the controlled autoregressive moving average (CARMA) model transformed by Takagi–Sugeno fuzzy model of BLDCM, a new fuzzy GPC scheme for the nonlinear BLDCM is designed by combining fuzzy techniques and GPC theory, and the rigorous mathematical derivation is given. Finally, numerical simulations are implemented to verify the effectiveness and superiority of the proposed scheme. It also provides reference for other nonlinear even chaos control in actual project.
Issue Section:
Research Papers
References
1.
Wei
,
D. Q.
,
Luo
, X.
S.
, and Zhang
,
B.
, 2012
,
“Synchronization of Brushless DC Motors Based on LaSalle
Invariance Principle
,” Nonlinear Dyn.
,
69
(4
), pp.
1733
–1738
.2.
Maetani
,
T.
,
Isomura
,
Y.
,
Watanabe
,
A.
,
Iimori
,
K.
, and
Morimoto
,
S.
, 2013
,
“Suppressing Bearing Voltage in an Inverter-Fed Ungrounded
Brushless DC Motor
,” IEEE Trans. Ind.
Electron.
, 60
(11
), pp.
4861
–4868
.3.
Lee
,
D. H.
, and
Ahn
, J.
W.
, 2009
, “A Current
Ripple Reduction of a High-Speed Miniature Brushless Direct Current Motor
Using Instantaneous Voltage Control
,” IET Electr.
Power Appl.
, 3
(2
), pp.
85
–92
.4.
Chen
,
C. F.
, and
Cheng
, M.
Y.
, 2007
,
“Implementation of a Highly Reliable Hybrid Electric Scooter
Drive
,” IEEE Trans. Ind. Electron.
,
54
(5
), pp.
2462
–2473
.5.
Park
,
J. D.
,
Kalev
,
C.
, and
Hofmann
, H.
F.
, 2008
,
“Control of High-Speed Solid-Rotor Synchronous Reluctance
Motor/Generator for Flywheel-Based Uninterruptible Power
Supplies
,” IEEE Trans. Ind. Electron.
,
55
(8
), pp.
3038
–3046
.6.
Hemati
,
N.
, and
Leu
, M.
C.
, 1992
, “A
Complete Model Characterization of Brushless DC Motors
,”
IEEE Trans. Ind. Appl.
,
28
(1
), pp.
172
–180
.7.
Hemati
,
N.
, 1994
,
“Strange Attractors in Brushless DC Motor
,”
IEEE Trans. Circuits Syst., I: Fundam. Theory Appl.
,
41
(1
), pp.
40
–45
.8.
Chen
,
J. H.
,
Chau
, K.
T.
, and Chan
,
C. C.
, 2000
,
“Analysis of Chaos in Current-Mode-Controlled DC Drive
Systems
,” IEEE Trans. Ind. Electron.
,
47
(1
), pp.
67
–76
.9.
Ott
,
E.
,
Grebogi
,
C.
, and
York
, J.
A.
, 1990
,
“Controlling Chaos
,” Phys. Rev.
Lett.
, 64
(11
), pp.
1196
–1199
.10.
Aghababa
,
M.
, 2013
,
“Design of a Chatter-Free Terminal Sliding Mode Controller
for Nonlinear Fractional-Order Dynamical Systems
,”
Int. J. Control
, 86
(10
),
pp. 1744
–1756
.11.
Pan
,
H. H.
,
Sun
, W.
C.
, Gao
,
H. J.
,
Kaynak
,
O.
,
Alsaadi
,
F.
, and
Hayat
,
T.
, 2015
,
“Robust Adaptive Control of Non-Linear Time-Delay Systems
With Saturation Constraints
,” IET Control Theory
Appl.
, 9
(1
), pp.
103
–113
.12.
Zhang
,
R. X.
, and
Yang
, S.
P.
, 2013
, “Robust
Synchronization of Two DifferentFractional-Order Chaotic Systems With
Unknown Parameters Using Adaptive Sliding Mode Approach
,”
Nonlinear Dyn.
, 71
(1–2
),
pp. 269
–278
.13.
Ge
,
Z. M.
,
Chang
, C.
M.
, and Chen
,
Y. S.
, 2006
,
“Anti-Control of Chaos of Single Time Scale Brushless dc
Motors and Chaos Synchronization of Different Order System
,”
Chaos, Solitons Fractals
,
27
(5
), pp.
1298
–1315
.14.
Wei
,
D. Q.
,
Wan
,
L.
,
Luo
, X.
S.
, Zeng
,
S. Y.
, and
Zhang
,
B.
, 2014
,
“Global Exponential Stabilization for Chaotic Brushless DC
Motors With a Single Input
,” Nonlinear
Dyn.
, 77
(1–2
), pp.
209
–212
.15.
Richalet
,
J.
,
Rault
,
A.
,
Testud
, J.
L.
, and Papon
,
J.
, 1978
,
“Model Predictive Heuristic Control: Applications to
Industrial Processes
,” Automatica
,
14
(5
), pp.
413
–428
.16.
Rhouma
,
A.
,
Bouani
,
F.
,
Bouzouita
,
B.
, and
Ksouri
,
M.
, 2014
,
“Model Predictive Control of Fractional Order
Systems
,” ASME J. Comput. Nonlinear Dyn.
,
9
(3
), p. 031011
.17.
Korda
,
M.
,
Gondhalekar
,
R.
,
Oldewurtel
,
F.
, and
Jones
, C.
N.
, 2014
,
“Stochastic MPC Framework for Controlling the Average
Constraint Violation
,” IEEE Trans. Autom.
Control
, 59
(7
), pp.
1706
–1721
.18.
Prior
,
G.
, and
Krstic
,
M.
, 2015
,
“A Control Lyapunov Approach to Finite Control Set Model
Predictive Control for Permanent Magnet Synchronous Motors
,”
ASME J. Dyn. Syst., Meas., Control
,
137
(1
), p. 011001
.19.
Alkorta
,
P.
,
Barambones
,
O.
,
Cortajarena
, J.
A.
, and
Zubizarrreta
,
A.
, 2014
,
“Efficient Multivariable Generalized Predictive Control for
Sensorless Induction Motor Drives
,” IEEE Trans. Ind.
Electron.
, 61
(9
), pp.
5126
–5134
.20.
Sarhadi
,
P.
,
Salahshoor
,
K.
, and
Khaki-Sedigh
,
A.
, 2012
,
“Robustness Analysis and Tuning of Generalized Predictive
Control Using Frequency Domain Approaches
,” Appl.
Math. Modell.
, 36
(12
), pp.
6167
–6185
.21.
Faudzi
,
A. A. M.
,
Mustafa
, N.
D.
, and
Osman
,
K.
, 2014
,
“Force Control for a Pneumatic Cylinder Using Generalized
Predictive Controller Approach
,” Math. Probl.
Eng.
, 2014
, p. 261829
.22.
Wang
,
Y.
,
Chai
,
T.
,
Fu
,
J.
,
Zhang
,
Y.
, and
Fu
,
Y.
, 2012
,
“Adaptive Decoupling Switching Control Based on Generalised
Predictive Control
,” IET Control Theory
Appl.
, 6
(12
), pp.
1828
–1841
.23.
Gao
,
Q.
,
Liu
,
L.
,
Feng
,
G.
,
Wang
,
Y.
, and
Qiu
, J.
B.
, 2014
, “Universal
Fuzzy Integral Sliding-Mode Controllers Based on T-S Fuzzy
Models
,” IEEE Trans. Fuzzy Syst.
,
22
(2
), pp.
350
–362
.24.
Chen
,
D. Y.
,
Zhao
, W.
L.
, Sprott
,
J. C.
, and
Ma
, X.
Y.
, 2013
,
“Application of Takagi-Sugeno Fuzzy Model to a Class of
Chaotic Synchronization and Anti-Synchronization
,”
Nonlinear Dyn.
, 73
(3
), pp.
1495
–1505
.25.
Defoy
,
B.
,
Alban
,
T.
, and
Mahfoud
,
J.
, 2014
,
“Assessment of the Effectiveness of a Polar Fuzzy Approach
for the Control of Centrifugal Compressors
,” ASME J.
Dyn. Syst., Meas., Control
, 136
(4
),
p. 041004
.26.
Zhang
,
G.
,
Li
, J.
M.
, and Ge
,
Y. W.
, 2014
,
“Nonfragile Guaranteed Cost Control of Discrete-Time Fuzzy
Bilinear System With Time-Delay
,” ASME J. Dyn.
Syst., Meas., Control
, 136
(4
), p.
044502
.27.
Wang
,
B.
,
Xue
, J.
Y.
, He
,
H. Y.
, and
Zhu
, D.
L.
, 2014
, “Analysis
on a Class of Double-Wing Chaotic System and Its Control Via Linear Matrix
Inequality
,” Acta Phys. Sin.
,
63
(21
), p. 210502
.28.
Su
,
X. J.
,
Shi
,
P.
,
Wu
, L.
G.
, and Song
,
Y. D.
, 2013
,
“A Novel Control Design on Discrete-Time Takagi-Sugeno Fuzzy
Systems With Time-Varying Delays
,” IEEE Trans. Fuzzy
Syst.
, 21
(4
), pp.
655
–671
.29.
Wang
,
B.
,
Xue
, J.
Y.
, and Chen
,
D. Y.
, 2014
,
“Takagi-Sugeno Fuzzy Control for a Wide Class of
Fractional-Order Chaotic Systems With Uncertain Parameters Via Linear Matrix
Inequality
,” J. Vib. Control
(published
online).30.
Wang
,
B.
,
Zhang
, J.
W.
, Zhu
,
D. L.
, and
Chen
, D.
Y.
, 2015
,
“Takagi-Sugeno Fuzzy Predictive Control for a Class of
Nonlinear System With Constrains and Disturbances
,”
ASME J. Comput. Nonlinear Dyn.
,
10
(5
), p. 054505
.31.
Terki
,
A.
,
Moussi
,
A.
,
Betka
,
A.
, and
Terki
,
N.
, 2012
,
“An Improved Efficiency of Fuzzy Logic Control of PMBLDC for
PV Pumping System
,” Appl. Math. Modell.
,
36
(3
), pp.
934
–944
.32.
Premkumar
,
K.
, and
Manikandan
, B.
V.
, 2014
,
“Adaptive Neuro-Fuzzy Inference System Based Speed Controller
for Brushless DC Motor
,” Neurocomputing
,
138
, pp. 260
–270
.33.
Premkumar
,
K.
, and
Manikandan
, B.
V.
, 2015
, “Fuzzy
PID Supervised Online ANFIS Based Speed Controller for Brushless DC
Motor
,” Neurocomputing
,
157
, pp. 76
–90
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