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I
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n
s
es
with
ex
ce
s
s
iv
e
o
v
er
s
h
o
o
t
o
r
,
co
n
v
er
s
ely
,
o
v
e
r
ly
c
o
n
s
er
v
ativ
e
s
ettin
g
s
with
s
lu
g
g
is
h
p
er
f
o
r
m
a
n
ce
[
1
1
]
,
[
1
2
]
.
Mo
d
el
-
b
ased
ap
p
r
o
ac
h
es
lik
e
in
ter
n
al
m
o
d
el
co
n
tr
o
l
(
I
MC)
o
f
f
er
im
p
r
o
v
e
d
r
o
b
u
s
tn
ess
b
u
t
ty
p
ically
s
ac
r
if
ice
r
esp
o
n
s
e
s
p
ee
d
.
T
h
e
a
d
v
en
t
o
f
m
etah
e
u
r
is
tic
o
p
tim
izatio
n
alg
o
r
ith
m
s
,
in
clu
d
in
g
g
e
n
etic
alg
o
r
ith
m
s
(
GA)
,
p
ar
ticle
s
war
m
o
p
tim
iza
tio
n
(
PS
O)
,
an
d
o
th
er
n
atu
r
e
-
i
n
s
p
ir
ed
tech
n
iq
u
e
s
[
1
0
]
-
[
1
3
]
,
h
as
in
tr
o
d
u
ce
d
a
p
a
r
ad
ig
m
s
h
if
t,
r
e
f
r
am
in
g
PID
t
u
n
in
g
as
a
m
u
lti
-
o
b
jectiv
e
o
p
t
im
izatio
n
p
r
o
b
lem
th
at
s
y
s
tem
atica
lly
b
alan
ce
s
co
m
p
etin
g
p
er
f
o
r
m
an
ce
c
r
iter
ia
[
1
4
]
,
[
1
5
]
.
D
e
s
p
it
e
e
x
te
n
s
i
v
e
r
es
e
a
r
c
h
o
n
i
n
d
i
v
i
d
u
a
l
o
p
t
i
m
i
z
at
i
o
n
al
g
o
r
i
t
h
m
s
f
o
r
s
p
e
ci
f
i
c
a
p
p
l
i
c
at
i
o
n
s
,
s
e
v
e
r
a
l
c
r
i
t
i
c
al
g
a
p
s
p
e
r
s
is
t
i
n
t
h
e
l
i
t
e
r
at
u
r
e
[
1
6
]
:
i
)
C
o
m
p
r
e
h
e
n
s
i
v
e
c
o
m
p
a
r
a
t
i
v
e
a
n
a
l
y
s
e
s
a
c
r
o
s
s
a
s
p
e
c
t
r
u
m
o
f
i
n
d
u
c
t
i
v
e
l
o
a
d
d
y
n
a
m
i
c
s
[
1
7
]
,
[
1
8
]
,
r
a
n
g
i
n
g
f
r
o
m
s
l
o
w
f
il
t
e
r
i
n
g
c
i
r
c
u
i
t
s
t
o
f
as
t
-
s
w
it
c
h
i
n
g
c
o
n
v
e
r
t
e
r
s
,
r
e
m
ai
n
r
e
l
at
i
v
e
l
y
u
n
e
x
p
l
o
r
e
d
.
M
o
s
t
s
t
u
d
i
es
f
o
c
u
s
o
n
s
i
n
g
u
l
a
r
a
p
p
l
i
c
at
i
o
n
s
r
a
t
h
e
r
t
h
a
n
p
r
o
v
i
d
i
n
g
g
e
n
e
r
a
l
i
z
e
d
f
r
a
m
e
w
o
r
k
s
a
p
p
l
i
c
a
b
l
e
a
c
r
o
s
s
d
i
v
e
r
s
e
s
c
e
n
a
r
i
o
s
[
1
9
]
,
[
2
0
]
;
i
i
)
M
a
n
y
i
n
v
e
s
t
i
g
at
i
o
n
s
e
m
p
h
a
s
i
z
e
n
o
m
i
n
a
l
p
e
r
f
o
r
m
a
n
c
e
m
e
t
r
i
c
s
w
h
i
l
e
o
f
f
e
r
i
n
g
li
m
i
te
d
v
a
l
i
d
ati
o
n
o
f
c
o
n
t
r
o
l
l
e
r
r
o
b
u
s
t
n
ess
a
g
a
i
n
s
t
p
r
a
ct
i
c
al
c
h
a
ll
e
n
g
e
s
,
in
c
l
u
d
i
n
g
p
a
r
a
m
e
t
e
r
u
n
c
e
r
t
a
i
n
t
i
es
,
e
x
t
e
r
n
a
l
d
is
t
u
r
b
an
c
e
s
,
a
n
d
m
e
a
s
u
r
e
m
e
n
t
n
o
is
e
[
2
1
]
,
[
2
2
]
;
i
i
i
)
E
x
i
s
t
i
n
g
c
o
m
p
ar
i
s
o
n
s
o
f
t
e
n
n
e
g
l
e
ct
c
o
m
p
u
t
a
t
i
o
n
a
l
e
f
f
ic
i
e
n
c
y
c
o
n
s
i
d
e
r
a
t
i
o
n
s
,
d
e
s
p
it
e
t
h
ei
r
i
m
p
o
r
t
a
n
c
e
f
o
r
r
e
a
l
-
t
i
m
e
i
m
p
l
e
m
e
n
ta
t
i
o
n
a
n
d
i
n
d
u
s
t
r
i
a
l
a
d
o
p
t
i
o
n
[
2
3
]
,
[
2
4
]
;
a
n
d
i
v
)
F
e
w
s
t
u
d
i
es
p
r
o
v
i
d
e
s
y
s
t
e
m
at
i
c
g
u
i
d
e
l
i
n
e
s
f
o
r
m
e
t
h
o
d
s
e
l
e
c
t
io
n
b
a
s
e
d
o
n
s
p
e
c
i
f
i
c
s
y
s
te
m
c
h
a
r
a
c
t
e
r
i
s
t
i
cs
,
l
e
a
v
i
n
g
e
n
g
i
n
e
e
r
s
w
it
h
o
u
t
c
l
e
a
r
d
e
ci
s
i
o
n
-
m
a
k
i
n
g
f
r
a
m
e
w
o
r
k
s
[
2
5
]
,
[
2
6
]
.
T
h
is
r
esear
ch
ad
d
r
ess
es
th
es
e
g
ap
s
th
r
o
u
g
h
a
s
y
s
tem
atic
in
v
esti
g
atio
n
th
at
m
ak
es
th
r
ee
p
r
im
ar
y
co
n
tr
ib
u
tio
n
s
:
i
)
A
co
m
p
r
eh
en
s
iv
e
co
m
p
ar
ativ
e
an
aly
s
is
o
f
class
ical,
lo
ca
l,
an
d
g
lo
b
al
o
p
tim
izatio
n
m
eth
o
d
s
ac
r
o
s
s
th
r
ee
r
ep
r
esen
tativ
e
in
d
u
ctiv
e
lo
ad
s
ce
n
ar
io
s
with
d
is
tin
ct
d
y
n
am
ic
ch
ar
ac
ter
is
tics
;
ii
)
Dev
elo
p
m
en
t
an
d
v
alid
atio
n
o
f
a
m
u
lti
-
o
b
je
ctiv
e
co
s
t
f
u
n
ctio
n
th
at
ex
p
licitly
q
u
an
tifie
s
tr
ad
e
-
o
f
f
s
b
etwe
en
r
esp
o
n
s
e
s
p
ee
d
,
s
tab
ilit
y
,
an
d
co
n
tr
o
l
ef
f
icie
n
cy
;
an
d
iii
)
R
ig
o
r
o
u
s
r
o
b
u
s
tn
ess
te
s
tin
g
en
co
m
p
ass
in
g
p
ar
am
eter
v
ar
iatio
n
s
,
d
is
tu
r
b
an
ce
r
ejec
tio
n
,
an
d
n
o
i
s
e
im
m
u
n
ity
,
co
m
p
lem
en
te
d
b
y
p
r
ac
tical
im
p
lem
en
tatio
n
g
u
id
elin
es.
T
h
e
s
tu
d
y
i
n
v
e
s
t
i
g
at
e
s
t
h
r
e
e
ca
r
e
f
u
l
l
y
s
e
le
c
t
e
d
s
c
e
n
a
r
i
o
s
r
e
p
r
e
s
e
n
ti
n
g
c
o
m
m
o
n
i
n
d
u
s
t
r
i
a
l
a
p
p
l
i
c
at
i
o
n
s
p
r
e
s
e
n
t
e
d
i
n
T
a
b
l
e
1.
E
ac
h
s
ce
n
ar
io
u
n
d
er
g
o
es
s
y
s
tem
atic
ev
alu
atio
n
u
s
in
g
Z
ieg
ler
-
Nich
o
ls
,
I
MC,
Neld
er
-
Me
ad
s
im
p
lex
,
GA,
an
d
PS
O
tu
n
in
g
m
eth
o
d
s
,
with
p
er
f
o
r
m
a
n
ce
q
u
a
n
tifie
d
th
r
o
u
g
h
m
u
ltip
le
m
etr
ics
in
clu
d
in
g
s
ettlin
g
tim
e,
o
v
er
s
h
o
o
t,
in
teg
r
al
a
b
s
o
lu
te
er
r
o
r
(
I
AE
)
,
an
d
co
n
t
r
o
l e
f
f
o
r
t.
T
h
e
r
em
ain
d
er
o
f
t
h
is
p
ap
er
is
o
r
g
an
ize
d
as
f
o
llo
ws:
i)
S
ec
tio
n
2
d
etails
th
e
s
y
s
tem
m
o
d
elin
g
,
co
n
tr
o
ller
im
p
lem
e
n
tatio
n
,
an
d
o
p
tim
izatio
n
f
r
am
ewo
r
k
;
ii)
Sectio
n
3
p
r
esen
ts
co
m
p
ar
a
tiv
e
r
esu
lts
ac
r
o
s
s
s
ce
n
ar
io
s
with
co
m
p
r
e
h
en
s
iv
e
p
er
f
o
r
m
an
ce
an
aly
s
is
;
iii)
Sectio
n
4
d
is
cu
s
s
es
p
r
ac
tical
im
p
licatio
n
s
,
lim
itatio
n
s
,
an
d
f
u
tu
r
e
r
esear
ch
d
ir
ec
tio
n
s
;
an
d
iv
)
Sectio
n
5
co
n
clu
d
es
with
k
ey
f
in
d
in
g
s
an
d
im
p
lem
en
tatio
n
r
ec
o
m
m
en
d
atio
n
s
.
T
h
r
o
u
g
h
th
is
s
tr
u
ctu
r
ed
i
n
v
esti
g
atio
n
,
th
e
p
ap
e
r
aim
s
to
p
r
o
v
id
e
en
g
in
ee
r
s
with
a
n
ev
id
en
ce
-
b
ased
f
r
a
m
ewo
r
k
f
o
r
s
elec
tin
g
an
d
im
p
lem
en
tin
g
PID
tu
n
in
g
m
eth
o
d
o
lo
g
ies
t
h
at
d
eliv
er
o
p
tim
al
p
er
f
o
r
m
an
ce
f
o
r
s
p
ec
if
ic
in
d
u
ctiv
e
lo
ad
ap
p
licatio
n
s
.
T
ab
le
1
.
R
R
L
cir
cu
it scen
ar
io
s
: e
lectr
ical
p
ar
am
eter
s
S
c
e
n
a
r
i
o
s
P
o
w
e
r
l
o
w
p
a
ss
f
i
l
t
e
r
I
n
d
u
c
t
i
v
e
l
o
a
d
w
i
t
h
d
a
m
p
i
n
g
F
a
st
r
e
s
p
o
n
s
e
c
i
r
c
u
i
t
s
S
y
st
e
m
p
a
r
a
m
e
t
e
r
s
1
=
1
Ω,
2
=
22
Ω
,
=
0
.
0
1
H
1
=
0
.
5
Ω,
2
=
1
0
0
Ω,
L
=
0
.
0
5
H
1
=
2
.
2
Ω,
2
=
47
Ω
,
L
=
4
.
7
E
–
4
H
D
e
scri
p
t
i
o
n
La
r
g
e
t
i
me
c
o
n
st
a
n
t
s
y
st
e
m
Ty
p
i
c
a
l
i
n
d
u
c
t
i
v
e
l
o
a
d
H
i
g
h
-
f
r
e
q
u
e
n
c
y
a
p
p
l
i
c
a
t
i
o
n
s
2.
M
E
T
H
O
D
O
L
O
G
Y
2
.
1
.
RRL
s
y
s
t
em
m
o
delin
g
a
nd
s
ce
na
rio
s
T
h
e
R
R
L
cir
cu
it
to
p
o
lo
g
y
is
im
p
lem
en
ted
in
Simu
lin
k
as
s
h
o
wn
in
Fig
u
r
e
1
.
T
h
e
s
y
s
te
m
'
s
tr
an
s
f
er
f
u
n
ctio
n
,
d
er
iv
e
d
f
r
o
m
Kir
ch
h
o
f
f
'
s
laws,
is
ex
p
r
ess
ed
as
(
1
)
.
(
)
=
(
)
(
)
=
2
(
1
+
2
)
+
1
2
(
1
)
T
h
is
f
ir
s
t
-
o
r
d
er
tr
an
s
f
er
f
u
n
ctio
n
f
o
r
m
s
th
e
p
lan
t
m
o
d
el
f
o
r
all
s
u
b
s
eq
u
e
n
t
co
n
t
r
o
ller
d
e
s
ig
n
an
d
an
aly
s
is
.
Sy
s
tem
id
en
tific
atio
n
was
p
e
r
f
o
r
m
e
d
th
r
o
u
g
h
s
tep
r
esp
o
n
s
e
an
aly
s
is
to
ex
tr
ac
t
f
ir
s
t
-
o
r
d
er
p
lu
s
d
ea
d
-
tim
e
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J Po
w
E
lec
&
Dr
i Sy
s
t
I
SS
N:
2088
-
8
6
9
4
A
fr
a
mewo
r
k
fo
r
r
o
b
u
s
t P
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co
n
tr
o
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d
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timiz
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izatio
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ith
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Fi
g
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d
T
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;
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ith
m
s
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in
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s
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izatio
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d
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Fig
u
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RE
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D
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2
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u
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4
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atic
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s
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I
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I
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I
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&
Dr
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Fig
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itializatio
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tial
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m
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ab
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.
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alg
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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ates
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Fig
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t
e
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al
a
n
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e
,
e
n
s
u
r
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g
r
o
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u
s
t
d
i
s
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r
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a
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je
c
t
i
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w
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il
e
m
a
in
t
a
i
n
i
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h
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t
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a
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i
ca
l
s
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t
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r
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t
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o
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l
i
m
it
s
.
3
.
7
.
Ro
bu
s
t
nes
s
a
na
ly
s
is
o
f
t
he
o
ptim
a
l c
o
ntr
o
ller
T
h
e
co
n
tr
o
ller
tu
n
e
d
v
ia
PS
O
was
s
elec
ted
f
o
r
a
s
er
ies
o
f
r
o
b
u
s
tn
ess
test
s
to
v
alid
ate
its
p
er
f
o
r
m
a
n
ce
u
n
d
er
n
o
n
-
i
d
ea
l,
r
ea
l
-
wo
r
ld
c
o
n
d
itio
n
s
.
W
h
ile
th
e
co
n
s
er
v
ativ
e
I
MC
m
eth
o
d
is
th
e
m
o
s
t
en
er
g
y
-
ef
f
icien
t,
th
e
o
p
tim
ized
co
n
tr
o
ller
s
m
ain
tai
n
a
r
ea
s
o
n
a
b
le
co
n
t
r
o
l
ef
f
o
r
t,
esp
ec
ially
g
iv
en
t
h
eir
v
astl
y
s
u
p
er
io
r
tr
a
ck
in
g
p
er
f
o
r
m
an
ce
.
T
h
e
f
in
al
PID
g
a
in
s
f
o
u
n
d
b
y
t
h
e
o
p
tim
izatio
n
alg
o
r
ith
m
s
ar
e
lis
ted
in
T
a
b
le
9
.
T
ab
le
8
.
C
o
n
tr
o
l e
f
f
o
r
t (
∫
2
)
ac
r
o
s
s
all
m
eth
o
d
s
an
d
s
ce
n
ar
io
s
M
e
t
h
o
d
s
P
o
w
e
r
l
o
w
-
p
a
ss
f
i
l
t
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I
n
d
u
c
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v
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p
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F
a
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3
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9
1
2
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3
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3
3
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5
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3
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1
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5
1
T
ab
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9
.
Op
tim
ized
PID
g
ain
s
,
,
o
b
tain
ed
f
r
o
m
o
p
tim
izatio
n
alg
o
r
ith
m
s
M
e
t
h
o
d
s
P
o
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r
l
o
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p
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1
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8
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A
fr
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367
3
.
8
.
K
ey
ins
ig
hts a
nd
im
pli
c
a
t
io
ns
T
h
r
e
e
f
u
n
d
a
m
e
n
t
a
l
i
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i
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h
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s
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e
r
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e
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F
i
r
s
t
,
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iz
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to
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d
y
n
a
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s
w
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M
C
e
x
ce
ls
.
Se
c
o
n
d
,
a
l
g
o
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h
m
s
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n
t
e
l
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P
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h
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s
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x
c
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d
s
p
r
a
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i
c
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q
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a
b
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d
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p
lo
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e
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t
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n
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a
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w
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d
c
o
n
d
i
ti
o
n
s
w
i
t
h
i
n
h
e
r
e
n
t
u
n
c
e
r
t
a
i
n
t
i
es
.
P
r
a
c
t
ic
a
l
l
y
,
t
h
i
s
r
e
s
e
a
r
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h
p
r
o
v
i
d
e
s
c
l
e
a
r
g
u
i
d
el
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e
s
:
u
s
e
PS
O
f
o
r
n
e
w
d
es
i
g
n
s
w
i
t
h
ti
m
e
c
o
n
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ta
n
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>
1
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s
,
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-
o
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m
i
z
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e
x
is
t
i
n
g
s
y
s
t
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m
s
f
o
r
i
m
m
e
d
i
at
e
i
m
p
r
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v
e
m
e
n
t
s
,
a
n
d
s
e
le
c
t
I
MC
f
o
r
u
l
t
r
a
-
f
a
s
t
a
p
p
l
ic
a
t
i
o
n
s
.
T
h
e
d
i
s
c
o
v
e
r
e
d
P
I
s
t
r
u
c
t
u
r
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r
ed
u
c
e
i
m
p
l
e
m
e
n
t
a
ti
o
n
c
o
m
p
l
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x
it
y
w
h
i
l
e
m
ai
n
t
a
i
n
i
n
g
p
e
r
f
o
r
m
an
c
e
.
3
.
9
.
L
im
it
a
t
io
ns
a
nd
f
uture
direct
io
ns
W
h
ile
co
m
p
r
eh
en
s
iv
e,
th
is
s
im
u
latio
n
-
b
ased
s
tu
d
y
r
eq
u
ir
es
h
ar
d
war
e
v
alid
atio
n
.
Fu
tu
r
e
wo
r
k
s
h
o
u
l
d
ex
p
lo
r
e
r
ea
l
-
tim
e
a
d
ap
tiv
e
o
p
tim
izatio
n
,
f
r
ac
tio
n
al
-
o
r
d
er
PID
ex
ten
s
io
n
s
,
a
n
d
m
o
r
e
co
m
p
lex
cir
cu
i
t
to
p
o
lo
g
ies.
T
h
e
au
to
m
atic
s
tr
u
ctu
r
e
s
im
p
lific
atio
n
s
u
g
g
ests
f
u
n
d
am
en
tal
q
u
esti
o
n
s
ab
o
u
t
o
p
tim
al
co
n
tr
o
ller
co
m
p
lex
ity
th
at
war
r
an
t
d
ee
p
er
in
v
esti
g
atio
n
.
T
h
e
f
r
am
e
wo
r
k
estab
lis
h
es
o
p
tim
izatio
n
as
a
s
y
s
tem
atic
alter
n
ativ
e
to
h
eu
r
is
tic
tu
n
in
g
,
m
o
v
in
g
PID
d
esig
n
f
r
o
m
a
r
t to
en
g
in
ee
r
i
n
g
s
cien
ce
wh
ile
m
ain
tain
in
g
p
r
ac
tical
ap
p
licab
ilit
y
ac
r
o
s
s
d
iv
er
s
e
in
d
u
s
tr
ial
s
ce
n
ar
io
s
.
4.
CO
NCLU
SI
O
N
T
h
is
r
esear
ch
d
em
o
n
s
tr
ates
th
at
o
p
tim
izatio
n
-
b
ased
tu
n
i
n
g
,
s
p
ec
if
ically
u
s
in
g
p
ar
tic
le
s
war
m
o
p
tim
izatio
n
(
PS
O)
,
o
f
f
er
s
a
s
u
p
er
io
r
alter
n
ativ
e
to
class
ical
m
eth
o
d
s
f
o
r
co
n
tr
o
llin
g
in
d
u
ctiv
e
lo
ad
s
an
d
p
o
wer
f
ilter
s
.
T
h
e
p
r
o
p
o
s
ed
a
p
p
r
o
ac
h
s
u
cc
ess
f
u
lly
r
eso
lv
es
th
e
tr
ad
itio
n
al
tr
ad
e
-
o
f
f
b
etw
ee
n
r
esp
o
n
s
e
s
p
ee
d
an
d
s
tab
ilit
y
,
y
ield
i
n
g
c
o
n
tr
o
ll
er
s
th
at
s
ig
n
if
ican
tly
im
p
r
o
v
e
tr
ac
k
in
g
ac
c
u
r
ac
y
wh
ile
elim
i
n
atin
g
o
v
er
s
h
o
o
t.
A
k
ey
f
in
d
in
g
o
f
th
is
s
tu
d
y
is
th
e
alg
o
r
ith
m
'
s
ca
p
ab
ilit
y
to
i
d
en
tify
r
e
d
u
ce
d
-
o
r
d
e
r
PI
s
tr
u
ctu
r
es
as
o
p
tim
al
f
o
r
th
ese
ap
p
licatio
n
s
,
th
er
eb
y
m
i
n
im
izin
g
im
p
lem
e
n
tatio
n
co
m
p
lex
ity
with
o
u
t c
o
m
p
r
o
m
is
in
g
p
er
f
o
r
m
an
ce
.
R
o
b
u
s
tn
ess
an
aly
s
i
s
f
u
r
th
er
v
alid
ates
th
e
m
eth
o
d
,
p
r
o
v
in
g
th
at
th
e
o
p
tim
ized
co
n
tr
o
ller
s
m
ain
tain
s
tab
ilit
y
d
esp
ite
s
ig
n
if
ican
t
p
ar
am
eter
v
ar
iatio
n
s
an
d
ex
ter
n
al
d
is
tu
r
b
an
ce
s
.
Ho
wev
er
,
t
h
e
s
tu
d
y
estab
lis
h
es
a
cr
itical
b
o
u
n
d
ar
y
f
o
r
m
eth
o
d
s
elec
tio
n
:
wh
ile
o
p
tim
izatio
n
s
tr
ateg
ies
ex
ce
l
f
o
r
s
y
s
tem
s
with
s
tan
d
ar
d
tim
e
co
n
s
tan
ts
,
I
n
ter
n
al
M
o
d
el
C
o
n
tr
o
l
r
em
ain
s
th
e
p
r
ef
er
r
ed
a
p
p
r
o
ac
h
f
o
r
u
ltra
-
f
ast
d
y
n
am
ics.
C
o
n
s
eq
u
en
tly
,
th
is
wo
r
k
p
r
o
p
o
s
es
a
s
y
s
tem
atic,
co
n
tex
t
-
awa
r
e
f
r
am
ewo
r
k
f
o
r
co
n
tr
o
ller
d
esig
n
th
at
r
ep
lac
es
s
u
b
jectiv
e
tu
n
in
g
with
a
r
ig
o
r
o
u
s
en
g
in
ee
r
in
g
m
eth
o
d
o
l
o
g
y
.
T
h
ese
ad
v
an
ce
m
en
ts
p
r
o
v
id
e
a
r
eliab
le
f
o
u
n
d
atio
n
f
o
r
e
n
h
an
cin
g
in
d
u
s
tr
ial
ef
f
icien
cy
an
d
p
r
o
d
u
ct
q
u
ality
,
p
av
in
g
th
e
w
ay
f
o
r
f
u
t
u
r
e
r
esear
c
h
in
to
r
ea
l
-
tim
e
ad
a
p
tiv
e
o
p
tim
izatio
n
tech
n
i
q
u
es.
F
UNDING
I
NF
O
R
M
A
T
I
O
N
T
h
e
au
th
o
r
s
r
ec
eiv
ed
n
o
f
i
n
an
cial
s
u
p
p
o
r
t f
o
r
th
e
r
esear
ch
,
a
u
th
o
r
s
h
ip
,
a
n
d
p
u
b
licatio
n
.
AUTHO
R
CO
NT
RI
B
UT
I
O
NS ST
A
T
E
M
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N
T
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h
is
jo
u
r
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