IEEE Systems, Man and Cybernetics Magazine - July 2022 - 47

have a physical experiment on a FOMAS of a PMSM
chaotic model with a T-S fuzzy approach with the
advantage of proposed impulsive control. The FOMAS
of the PMSM chaotic model is described as (please
refer to [10] and [11])
*
C 11 11 ,
C
t
t
C
t 32 3
0 11 23
D
D
D
where b 06 . 7=
b
b
b
t pp p
22 13
t pp pp
t pp pp
11 11 1
11 1
() (),
()
()
t
t
t
=- +
=- -+
=z
and
vz ,
pp
p1
are the parameters. Assume that
11 ( )[ ,].
11 12 22
!!
1 is (),M p11
p1
ine the T-S fuzzy system model (32):
◆ Rule 1: IF
◆ Rule 2: IF 1 is (),M p21
1 THEN
1 THEN
() [, ], andtddt dd-- The following deftDA
().tt
C
t
tDA ().tt
C
t
()
()
2
1
b11= dd
b11=
The membership function of the fuzzy sets can be
chosen as () (), () (MMd11 1=+ 11 21pp p
), () (),( )(MM =11
11 1
/ ).d2
pp2 121121pp p
We adopt the T-S fuzzy method as the dynamical
11 32 24 21
11 121121
=+
=v
p3
,
(32)
3
=
◆ Rule 3: IF 1 is (),M p32
◆ Rule 4: IF 1 is (),M p42
where ()1 t
p2
p2
R
T
S
S
S
-1
-- +
-
1
AA 1
z zz z
R
T
S
S
S
-1
2
-1
-
V
X
W
W
W
v ,
4 =
R
T
S
S
S
-
-
-
v
z zz z
01
dd
dd
12 1
V
X
W
W
W
v ,
A =
R
T
S
S
S
-
-1
-- +
-
1
2
V
X
W
W
W
.
1 THEN
1 THEN
tDA ().tt
C
tDA ().tt
C
b11=
b11=
t
t
= 111 =
6 ttt@T
pp p
(),( ),
12 3() , A1
V
X
W
W
W
v ,
()
()
3
4
Test Level 1:
Space Vector
Generation
Test Level 2:
Currents/dc-Bus
Voltage
Measurement
Verification
Test Level 3:
Tuning of
dq-Axis
Current
Closed Loop
Test Level 4:
Encoder
Verification
Test Level 5:
Speed Closed
Loop
Figure 4. Simulation model-based design of a PMSM.
July 2022 IEEE SYSTEMS, MAN, & CYBERNETICS MAGAZINE 47

IEEE Systems, Man and Cybernetics Magazine - July 2022

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