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d
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2.
TU
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EL:
T
h
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1
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y
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8
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1
1
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vv
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AV
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can
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a p
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n
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n (
2
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23
1
2
v
vp
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RV
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ρπ
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W
h
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p
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p
o
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f
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n
t
[
2
4
]
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p
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r
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s
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h
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r
et
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cal
ex
t
r
em
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at
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p
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_
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x
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t
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=
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h
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t
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d
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d
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h
e
p
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t
ch
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g
l
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β
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a
s
s
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w
n
i
n (
4
,5
)
:
57
/
2
1
34
6
(
)(
)
i
CC
p
i
C
C
C
C
C
Ce
λ
β
β
λ
=
−−
−
(4
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8
1
i
C
λ
λ
=
+
(5
)
T
h
e
s
lo
w
s
h
a
f
t
m
e
c
h
a
n
ic
a
l to
r
q
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e
C
t is
e
x
p
r
e
s
s
e
d
b
y
(6
)
:
32
2
t
tp
t
P
C
R
v
C
ρ
λ
π
=
=
Ω
(6
)
M
ech
an
i
cal
s
y
s
t
e
m
:
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h
an
i
c
al
m
o
d
el
w
i
l
l
b
e r
ep
r
es
en
t
ed
i
n
F
i
gur
e
1
.
F
i
g
ur
e
1
.
M
ech
an
i
cal
m
o
d
el
Evaluation Warning : The document was created with Spire.PDF for Python.
IJ
RA
I
SSN
:
2089
-
4856
N
onl
i
ne
ar
A
dapt
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v
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C
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W
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W
h
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t
: th
e
t
u
r
b
in
e
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r
tia
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w
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m
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g
en
er
at
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t
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g
ear
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e
n
er
at
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s
p
eed
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d
t
h
e
f
a
s
t
s
ha
f
t
t
o
r
q
ue
a
s
s
ho
w
n i
n (
7
-
9)
:
mt
G
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Ω
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mt
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C
G
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2
t
m
m
em
m
v
m
J
d
CC
J
f
G
dt
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3.
P
M
S
G
M
A
TH
EM
A
TI
C
A
L
M
O
D
EL:
P
MS
G
m
at
h
e
m
at
i
cal
m
o
d
el
i
n
t
h
e d
q
r
ef
er
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ce
a
s
s
ho
w
n i
n (
1
0
-
11)
[
29]
:
d
d
s
d
d
qq
r
di
U
R
I
L
Li
dt
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=
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10)
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q
q
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L
i
dt
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=
+
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11)
T
hus
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(
1
0
)
-
(
1
1
)
can
b
e i
n
d
i
cat
ed
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y
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2
-
13)
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q
ds
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rq
d
d
d
d
L
di
R
i
iU
dt
L
L
L
ω
=
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−
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12)
11
q
sd
q
e
d
q
m
r
qq
q
q
di
RL
i
iU
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L
L
L
L
ω
φω
=
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−
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(
13)
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h
e
m
o
tio
n
e
q
u
a
tio
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s
s
ho
w
n
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n (
14
-
15)
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r
r
v
r
d
C
CJ
f
dt
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(
14)
2
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ur
bi
ne
g
J
JJ
G
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15)
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o
ta
tio
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a
l s
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e
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a
s
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n (
1
6
)
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)
1
r
m
em
r
d
CC
f
dt
J
ω
ω
=
−−
(
16)
W
h
e
r
e
:
C
r
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e
lo
a
d
to
r
q
u
e
J
is
to
ta
l
in
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tia
,
ω
r
is
m
e
c
h
a
n
ic
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l
s
p
e
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d
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4.
TH
E S
LI
D
I
N
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M
O
D
E C
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TR
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L
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a
d
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n
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ite
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ta
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ilit
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ex
t
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u
r
t
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m
o
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e i
t
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s
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el
at
i
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y l
e
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s
i
nf
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m
a
t
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y
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m
a
n
d a
l
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t
h
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m
at
h
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m
at
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cal
m
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l
as
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cal
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d
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t
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p
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b
i
l
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t
y
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nd
c
o
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i
t
i
o
n
s
at
i
s
f
act
o
r
y
[
25,
30
-
3
2
]
.
T
he
S
M
C
go
e
s
t
h
r
o
ugh t
hr
e
e
s
t
e
p
s
:
C
h
o
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ce o
f
s
u
rf
a
ce
S
lid
in
g
s
u
r
f
a
c
e
a
s
s
h
o
w
n i
n
(
17)
:
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SSN
:
20
89
-
4856
IJ
RA
V
o
l.
7
, N
o
.
2
,
J
une
201
8
:
87
–
95
90
12
,
,
r
r
ef
q
q
r
ef
d
d
r
ef
S
S
ii
S
i
i
ωω
=
−
=
−=
−
(
17)
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he
d
e
r
i
va
t
i
ve
o
f
(
1
7
)
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s
s
ho
w
n i
n (
1
8
)
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,
,
r
ef
q
q
r
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d
r
ef
r
S
S
i
i
S
i
i
ωω
•
•
•
•
•
•
•
•
•
=
−
=
−=
−
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18)
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y
s
u
b
s
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itu
tin
g
(
r
ω
,
q
i
a
nd
d
i
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n
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8
),
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e
g
e
t
(
19)
:
(
)
1
2
1
11
1
m
em
r
r
ef
sd
q
r
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q
e
d
q
m
r
qq
q
q
q
s
d
r
ef
d
rq
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d
d
d
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LL
L
L
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R
S
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ωω
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•
•
••
••
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−
=
−−
−
+
−
=
−
+
−
−
(
19)
C
o
n
v
erg
en
ce co
n
d
i
t
i
o
n
:
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h
e
s
ta
b
ilit
y
o
f
t
h
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S
M
C
is
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s
t
i
m
a
te
d
b
y
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d
o
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g
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y
a
p
u
n
o
v
f
u
n
c
tio
n
a
s
s
ho
w
n i
n (
2
0
)
.
2
1
2
V
S
=
(
20)
T
h
e d
er
i
v
at
i
v
e o
f
(
2
0
)
a
s
s
ho
w
n i
n (
2
1
)
:
0
V
SS
••
=
(
21)
C
al
c
u
l
at
i
on
of
c
on
t
r
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l
aw
s
:
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o
n
tr
o
l la
w
h
a
s
th
e
f
o
llo
w
i
n
g
f
o
r
m
(
22)
,
eq
n
UU
U
=
+
(
22)
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h
er
e
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is
th
e
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o
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tr
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l v
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is
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c
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it b
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th
a
t
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)
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e
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n
e
d
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y
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23)
:
t
a
nh(
)
n
Uk
S
=
(
23)
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o
n
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o
l s
tr
u
c
tu
r
e
is
(
2
4
)
:
(
)
(
)
(
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11
22
t
a
n
h
t
a
n
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a
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m
r
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q
r
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q
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q
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m
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r
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d
sd
q
r
q
d
C
C
f
J
J
k
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L
i
L
i
k
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U
Ri
L
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L
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k
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ω
•
•
•
=
−
−
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+
−
+
=
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−
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(
24)
W
h
er
e (
k
,
k
1
,
k
2
)
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l
i
d
i
n
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ai
n
.
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o
w
e
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er
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h
e l
at
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en
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o
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s
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r
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h
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s
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e
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er
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y c
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n
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F
i
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ur
e
2
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n
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t
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n
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a
k
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t
h
e
c
o
n
tr
o
l s
ig
n
a
l
s
m
o
o
t
h
e
r
.
Evaluation Warning : The document was created with Spire.PDF for Python.
IJ
RA
I
SSN
:
2089
-
4856
N
onl
i
ne
ar
A
dapt
i
v
e
C
ont
r
ol
f
o
r
W
i
nd T
ur
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U
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(
A
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A
m
ar
B
e
ns
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)
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g
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2
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5.
ADAP
T
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LI
D
IN
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g
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in
k
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d
a
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te
d
.
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h
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c
o
n
tr
o
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w
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2
4
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e
c
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s
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25)
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)
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)
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n
h
r
ef
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m
r
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C
f
t
J
t
J
k
t
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25)
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2
6
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(
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26)
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27)
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16)
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2
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2
8
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28)
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29)
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31)
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r
in
g
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SSN
:
20
89
-
4856
IJ
RA
V
o
l.
7
, N
o
.
2
,
J
une
201
8
:
87
–
95
92
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ω
r
Evaluation Warning : The document was created with Spire.PDF for Python.
IJ
RA
I
SSN
:
2089
-
4856
N
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
SSN
:
20
89
-
4856
IJ
RA
V
o
l.
7
, N
o
.
2
,
J
une
201
8
:
87
–
95
94
R
EF
ER
EN
C
ES
[
1]
.
P
ha
n D
H
,
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S
(
20
15)
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E
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s
15
(
5
)
:
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58
-
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66
.
[
2]
.
J
a
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v
H
T
,
R
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(
2013)
A
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&
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Sy
s
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s
49:
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-
18
.
doi
:
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ps
:
/
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1
01
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12.
11
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0
20
.
[
3]
.
A
b
d
ed
d
ai
m
S
,
B
et
k
a
A
(
2013)
O
pt
i
m
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l
T
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a
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k
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nd
R
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D
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2
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[
4]
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L
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E
C
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01
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ms
.
J
ohn W
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L
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41
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.
[
8]
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g
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H
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[
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e
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z
oug
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l
l
H
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ouz
e
L
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l
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1]
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5]
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nal
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ne
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9 (
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02
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[
1
7]
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-
Y
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he
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-
X
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he
ng
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C
,
Li
Y
-
Y
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-
W
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09)
:
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.
[
1
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h M
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2)
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63
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49
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5]
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