Process Control Methods and Systems Overview

P
r
oces
s
 
Co
n
t
r
o
l 
M
e
tho
ds
1
Ope
n
-Lo
o
p
 
C
o
n
t
r
ol
2
P
r
oces
s
 
c
o
n
t
r
o
l
 
o
p
e
r
a
ti
o
n
s
 
a
r
e
 
per
f
orme
d
 
au
t
om
a
ti
c
ally
 
b
y
either
 
ope
n
-
lo
o
p
 
o
r
 
close
d
-
lo
o
p
 
s
y
s
t
em
s
P
r
ocesse
s
 
c
o
n
t
r
olle
d
 
onl
y
 
b
y
 
s
e
t-poi
n
t
 
c
ommand
s
 
without
f
e
e
dba
c
k
 
a
r
e
 
open
-
loo
p
Ope
n
-
lo
o
p
 
s
y
s
t
em
s
 
a
r
e
 
use
d in
 
appli
c
a
tions
 whe
r
e
 
simple
p
r
ocesse
s
 
a
r
e
 
pe
r
f
ormed
Ope
n
-
lo
o
p
 
s
y
s
t
em
s
 
a
r
e
 
r
el
a
ti
v
ely
 
in
e
xp
e
nsi
v
e
3
Clo
s
ed
-Lo
o
p
 
C
o
n
t
r
ol
Cl
o
sed-
loop
 
c
o
n
t
r
o
l
 
s
y
s
t
e
m
s
a
r
e
 
mo
r
e
 
ef
f
ec
t
i
v
e
 
than
 
ope
n-
loo
p
 
s
y
s
t
ems
With 
the
 
addition
 
of
 
a
f
ee
d
bac
k
 
loop
 t
h
e
y
 
be
c
ome
s
e
lf
-
regula
t
ing
C
o
mpone
n
ts
 
of
 
a
 
c
l
o
se
d
-
l
oo
p
 
s
ys
t
em
 
include:
Th
e
 
prima
r
y
 
elem
e
n
t
 
-
s
e
nsor
Th
e
 
c
o
n
t
r
oll
ed
 
v
ariable
Th
e
 
me
a
su
r
ed
 
v
ariable
Th
e
 
c
o
n
t
r
o
l
 
sign
a
l
Th
e
 
f
inal 
c
or
r
ecting
 
eleme
n
t
4
P
r
oce
s
s
 
Be
h
a
vior
Th
e
 
objecti
v
e
 
o
f 
p
r
oces
s
 
c
o
n
t
r
o
l
 
is
 
t
o
 
c
ause
 
a
c
o
n
t
r
oll
ed
 
v
ariab
l
e
 
t
o
 
r
emain
 
a
t 
a
 
c
on
s
t
a
n
t
 
v
alue
 
a
t
o
r 
nea
r
 
som
e
 
desi
r
ed
 
s
e
t
-poi
n
t
Th
e
 
c
o
n
t
r
ol
led
 
v
ar
i
ab
l
e
 
chan
g
es
 
be
c
ause
 
of:
A
 
di
s
turban
c
e
 
appe
a
r
s
Loa
d
 
de
m
ands
 
v
a
r
y
Se
t
 
p
o
i
n
ts a
r
e adju
s
t
ed
P
r
oces
s
 
Beh
a
v
i
o
r
 
E
x
ample
Fl
o
w
 
th
r
oug
h
 
the 
pip
e
 
is the
pro
c
ess
Flui
d 
fl
o
w
 
r
at
e
 
is
 
the
 
c
o
n
trol
l
ed
va
r
iable
V
al
v
e
 
positio
n is
 
the
 
s
e
t
 
poi
n
t
Deman
d
 
f
o
r
 
the fluid
d
o
wn
s
t
r
eam
 
is
 
the
 
load
V
ar
i
ance
 
in
 
u
p
s
t
r
eam 
p
r
e
s
su
r
e
is
 
t
h
e
 
di
s
turban
c
e
5
6
Singl
e
-
V
ariable
 
Co
n
t
r
o
l
 
Loop
S
ev
e
r
al
 
p
r
ocess
 
v
aria
ble
s
 a
r
e
 
c
o
n
t
r
olled 
a
t
 
o
nc
e
 
in
 
a
 
t
ypi
c
al
p
r
oduct
ion
 
ma
c
hine
Usuall
y
,
 onl
y
 
on
e
 
individual
 
f
e
e
dbac
k
 
loop
 
is
 
r
equi
r
ed
 
t
o
 
c
o
n
t
r
o
l
each 
v
aria
ble
Single-
v
aria
ble
 
c
o
n
t
r
o
l 
loo
p
s
 
c
onsi
s
t
 
of
 
the
 
f
oll
o
wing
 
eleme
n
ts:
Measuring 
d
e
v
ice
T
r
ans
duc
e
r/t
r
ansmi
tt
er
Co
n
t
r
ol
ler
Final 
Co
n
t
r
o
l
 
Eleme
n
t
7
R
esp
o
n
s
e
 
Tim
e
 
o
f t
h
e 
I
n
s
trume
n
t
All
 
in
s
trume
n
ts
 
h
a
v
e
 
a
t
i
m
e
 
lag 
-
 
the
 
time
 
f
r
om
when
 
a 
v
ariable is
measu
r
ed
 
till 
t
he
c
or
r
ecti
v
e
 
action
 
is
t
a
k
en
F
ac
t
o
r
s
 
a
f
f
ec
t
ing
 
lag:
R
esp
ons
e
 
t
ime
 
o
f
 se
n
sor
Tim
e lag
 
o
f
 
t
r
a
n
sd
u
cer
Di
st
a
n
ce
 
t
h
e
 
sign
a
l
 
mu
s
t
t
r
a
v
el
Ti
m
e 
r
equi
r
ed
 
f
o
r
 
the
c
o
n
t
r
oll
er
 
t
o
 
p
r
oce
s
s
Di
st
a
n
ce
 
c
o
n
t
r
o
l
 
si
g
n
a
l
 
mu
s
t
t
r
a
v
el
Tim
e lag
 
o
f
 
the
 
final
c
or
r
ecting eleme
n
t
8
Tim
e
 
L
ag
Th
e
 
c
o
n
t
r
ol
led
 
v
ar
i
ab
l
e
 it
s
e
l
f
 
m
a
y
 
c
o
n
tr
i
b
u
t
e
 
t
o
 
lag
p
r
oblems
 
be
c
ause
 
o
f
 
ine
r
tia
 
in
 
the
 
v
ariab
l
e
La
g 
du
e
 
t
o
 
ine
r
tia
 
o
f
 
the
 
v
ariab
l
e
 
is
 
r
e
f
er
r
ed
 
t
o
 
a
s
pu
r
e
 
lag
Another
 
f
a
c
t
o
r
 
th
a
t
 
a
f
f
ects
 t
i
me
 
lag
 
i
s
 
dead
 
time
 
-
th
i
s
 
is
 
the
 
ela
p
se
d
 
ti
m
e
 
f
r
o
m
 
when
 
the
 
d
e
v
i
a
tion
oc
c
u
r
s
 
and
 
c
or
r
ecti
v
e
 
a
c
t
i
o
n
 
t
a
k
es
 p
lace
Il
l
u
s
t
r
a
tion
 o
f Pu
r
e 
Lag
9
10
Selec
t
ing
 
a
 
C
o
n
t
r
oller
Th
e
 
c
o
n
t
r
ol
ler
 
mode
 
sel
ection
 
is 
base
d
 
u
p
o
n
 
the
r
equ
i
r
eme
n
ts
 
o
f
 
the
 
p
r
oces
s
 
and
 
on
e
 
o
f
 
the
 
f
oll
o
wing
c
o
n
t
r
o
l
 
modes
 
wi
l
l 
b
e
 
use
d
:
On
/
O
f
f
P
r
op
o
rtional
I
n
t
eg
r
al
De
r
i
v
a
ti
v
e
O
n-O
f
f
 
C
o
n
t
r
ol
Us
e
d
 
f
o
r
 
sl
ow
 
ac
t
in
g
 
op
e
r
a
t
i
ons
whe
r
e
 lag 
i
s 
u
n
a
v
o
i
da
b
l
e
Fina
l
 
c
or
r
ect
i
n
g
 
eleme
n
t
 
i
s 
either
f
u
ll
y
-
o
n 
o
r
 
f
u
ll
y
-
o
f
f
Th
e
 
pri
ma
r
y
 
d
r
a
wback
 
o
f 
o
n
-
o
f
f
c
o
nt
r
o
l
 
is
 
the
 
r
apid
 
s
w
i
t
c
hin
g
 
o
f
 
the
fina
l 
c
o
nt
r
o
l 
eleme
n
t
On
-
o
f
f
 
di
f
f
e
r
e
n
t
i
al
 
o
r
 
h
y
s
t
ere
si
s
 
i
s
p
r
og
r
amm
e
d
 
i
n
t
o
 
the
 
c
o
nt
r
o
l
l
er
D
eadband
 
r
e
f
e
r
s
 
t
o the
di
f
f
er
i
ng 
l
e
v
els
 
a
t
 
which
 
a
c
o
n
t
r
ol
l
er 
s
w
i
t
c
h
es
 
o
n
 
and
 o
f
f
11
12
C
o
n
tinuo
u
s
 
C
o
n
t
r
ol
O
n
/
O
f
f
 
c
o
n
t
r
o
l
 
is
 
acce
p
t
able
 
f
o
r
 p
r
oces
s
 
whe
r
e the 
v
ariable
 
is
s
e
t
 
b
e
t
w
e
e
n
 
t
w
o
 
l
i
mits
F
o
r
 
p
r
ocesse
s
 
whe
r
e
 
the
 
v
ari
a
bl
e
 
n
e
eds
 
t
o
 
b
e
 
k
e
p
t
 
a
t
parti
c
ula
r
 
s
e
tpoi
n
t
 l
e
v
el,
 p
r
op
o
rtional
 
c
o
n
t
r
o
l
 
is
 u
s
ed
P
r
op
o
rtional
 
a
c
tion
 c
an
 
b
e
 
a
c
c
omplishe
d
 
in
 
t
w
o
 
w
a
y
s:
T
i
me
 
P
r
oportionin
g
 
M
e
thod
Ampl
i
tude
 
P
r
oportiona
l
 
M
e
thod
Tim
e
 
P
r
op
o
rtioning
Is
 
a m
e
th
o
d
 
whe
r
e
b
y the
outpu
t
 
o
f 
the
 
c
o
n
t
r
olle
r
 
is
c
o
n
tinually
 
s
wi
t
ch
e
d
 
on
and
 
o
f
f
O
n
 
v
e
r
su
s
 o
f
f
 
times
 
a
r
e
v
ari
e
d
 dep
ende
n
t
 
upon
p
r
oces
s
 
r
equi
r
eme
n
ts
13
14
Ampl
i
tude
 
P
r
op
o
rtional
Mo
s
t
 
c
ommo
n
 
t
echn
i
q
ue
 
t
o
 
p
r
od
u
ce
 
a
p
r
oportiona
l
 
sig
n
al
Th
e
 
c
o
n
t
r
o
l
 
sig
n
al
 
is
 
p
r
oportiona
l
 
in
 
ampl
i
tu
d
e
 
t
o
the
 
e
r
r
o
r
 
s
i
gnal
Th
e
 
s
i
gnal
 
m
a
y
 
b
e
 
ampl
i
fied
 
and
 
the
ampl
i
fi
c
a
tion
 
m
a
y
 
b
e
 
r
e
f
er
r
ed
 
t
o
 
a
s
 
pr
o
p
o
rtional
gai
n
 
and
 
prop
ort
iona
l
 
ba
n
d
P
r
op
o
rtional
 
Gain
 Comparison
L
e
v
el
 
c
o
n
t
r
o
l
 
a
t
 a
 
g
ain
 
o
f 
1
15
P
r
oportional
Ga
i
n 
Compar
i
son
(Gai
n
 
s
e
t 
a
t 
2
)
16
P
r
o
p
orti
o
na
l
 
Band
P
r
oportio
n
al 
ban
d
 
is
 d
e
f
i
n
e
d
 
as the
 pe
r
ce
nt
a
g
e
chan
g
e
 
in
 
the
 
c
o
n
t
r
oll
ed
 
v
ariab
l
e
 th
a
t
 
c
auses
the
 
f
i
na
l
 
c
or
r
ecti
ng 
e
l
eme
n
t
 
t
o
 
g
o
 
th
r
oug
h 
1
00
pe
r
ce
n
t
 
o
f 
i
ts
 
r
an
g
e
P
B
 
=
C
on
t
r
o
lle
d
 
V
a
r
ia
b
l
e
 
%
 
C
h
a
n
g
e
F
i
n
a
l
 
C
o
rr
ec
t
i
n
g
 
E
le
m
e
n
t
 
%
 
C
h
a
n
g
e
17
I
n
t
eg
r
al
 
C
o
n
t
r
ol
Be
c
ause
 
o
f
 
the
 
i
n
t
r
odu
c
ti
o
n
 
of
of
f
s
e
t
 
in
 
a co
n
t
r
o
l 
p
r
ocess,
p
r
oportiona
l
 
c
o
n
t
r
o
l
 
alone is
of
t
en
 
use
d in
 
c
onj
u
n
c
tion
 
w
i
th
I
nt
eg
r
al
 
c
o
n
t
r
ol
O
f
f
s
e
t
 
is
 
the 
d
i
f
f
e
r
ence 
b
e
t
w
een
s
e
t 
p
oi
n
t
 
and
 
the
 
m
e
asu
r
ed
v
alue
 
a
f
t
er
 
c
or
r
ecti
v
e action
 
has
t
a
k
en
 
place
18
R
es
e
t
 
Act
i
on
I
nt
eg
r
al
 
c
o
n
t
r
o
l
 
is
 
al
s
o 
r
e
f
er
r
ed
t
o
 
as
 
res
e
t 
 
c
o
n
t
r
o
l
 
as the 
s
e
t
poi
n
t
 
is
 
c
o
n
tinuou
s
l
y
 r
es
e
t
 
as
long
 
as an er
r
o
r is
 
p
r
es
e
n
t
I
nt
eg
r
al
 
adju
s
tm
e
n
ts
 
th
a
t 
a
f
f
ect
the
 
out
p
u
t
 
a
r
e labe
l
ed
 
3
 
w
a
y
s:
Gain
 
- 
e
xp
r
es
s
ed
 
as
 
a who
l
e
n
u
mb
e
r
R
e
s
e
t
 - 
Exp
r
e
s
s
e
d
 
i
n
 
r
epe
a
ts
p
e
r
 m
i
n
u
t
e
I
n
t
e
g
r
al
 
T
i
me
 
- 
Exp
r
e
s
s
e
d
 
i
n
m
i
nu
t
es 
pe
r 
r
es
e
t
19
Deri
v
a
ti
v
e
 
Mo
d
e
F
o
r
 
r
apid
 
loa
d
 
c
ha
n
g
e
s,
 
the
deri
v
a
t
i
v
e
 
mode
 
is
 
typ
i
c
a
l
l
y
 
us
e
d
 
t
o
p
r
ev
e
n
t
 
oscill
a
t
i
o
n
 
i
n
 
a p
r
o
ce
s
s
s
y
s
t
em
Th
e
 
d
e
r
i
v
a
t
i
v
e
 
m
od
e
 
r
e
spon
d
s
 
t
o
the
 
r
a
t
e
 of
 
c
h
ang
e 
 
o
f 
the
 
er
r
or
signa
l
 
r
a
ther 
t
ha
n
 
i
ts ampl
i
tude
Deri
v
a
t
i
v
e 
mode
 
i
s 
ne
v
er
 u
s
ed
 
by
i
tsel
f
, b
u
t
 
i
n
 
c
ombin
a
t
i
o
n
 
w
i
th
othe
r
 
modes
Deri
v
a
t
i
v
e ac
t
io
n
 
c
ann
o
t
 
r
em
ov
e
o
f
f
set
20
Co
n
t
r
o
l
 
Mo
d
e 
Summa
r
y
21
22
T
unin
g
 
the 
Co
n
t
r
oller
Fin
e
-
tuning
 
is
 
t
h
e
 
p
r
oces
s 
t
o
 
o
p
timi
z
e
 
the 
c
o
n
t
r
olle
r
 
o
p
e
r
a
ti
o
n
by
 
adju
s
ting
 
the
 
f
oll
o
wing
 
s
e
t
tings:
Ga
i
n 
s
e
t
ting
 
(
p
r
oportiona
l
 
mode)
R
es
e
t 
r
at
e
 
(i
n
t
eg
r
al 
m
ode)
R
at
e 
(
de
r
i
v
a
ti
v
e
 
m
ode)
Th
r
ee
 
s
t
e
p
s
 
a
r
e
 
t
a
k
en 
when
 
tuning
 
a 
s
y
s
t
em
s
St
u
d
y
 
the
 c
o
n
t
r
o
l 
loop
Ob
t
ain
 
clea
r
an
c
e 
f
o
r
 
tuning
 
p
r
oce
d
u
r
es
Co
n
fi
r
m
 
the cor
r
ection
 
ope
r
a
tion
 
o
f
 
the 
s
y
s
t
em
 
c
ompone
n
ts
23
T
ria
l
-
and
-Er
r
o
r
 
T
uning
Doe
s
 
n
o
t
 
us
e
 
m
a
the
m
a
t
i
c
al 
m
e
tho
d
s
,
 
i
n
s
t
ead
 
a
 
c
hart
r
e
c
o
r
de
r
 
i
s
 
use
d
 
and
 
s
e
v
e
r
al
 
bum
p
 
t
e
s
ts
 
a
r
e
 
m
ade
 
in
the
 
p
r
oportiona
l
 
and
 
i
n
t
eg
r
al
 
modes
T
r
i
a
l
-an
d
-er
r
o
r
 
tu
n
i
ng
 
is 
v
ery
 
ti
m
e
 
c
ons
u
m
in
g
 
and
r
equ
i
r
es
 
c
onside
r
able
 
e
xper
i
ence
 
o
n
 
the
 
par
t
 
o
f
 
the
t
echn
i
cian
 
o
r
 
ope
r
at
or
24
Ziegle
r
-
Nichols
 
T
unin
g
 M
e
tho
d
s
T
w
o
 
f
orma
l
 p
r
ocedu
r
es
 
f
o
r 
t
uni
n
g
c
o
n
t
r
o
l
 
loop
s
:
Co
n
t
i
nuou
s
 
c
y
cl
i
n
g 
m
e
thod
R
eaction
 
cu
r
v
e m
e
thod
25
C
o
n
tinu
o
u
s
 
C
y
cling
 
M
e
th
o
d
T
h
e 
c
o
n
tinu
o
u
s
 
c
y
cling
 
m
e
th
o
d
 
anal
y
z
es
 
the 
p
r
oces
s
 
b
y
f
o
r
cing
 
the
 
c
o
n
t
r
olle
d
 
v
ari
a
bl
e
 
t
o
 
o
scill
a
t
e
 
in
 
e
v
en,
 
c
o
n
tinuous
c
y
cle
s
Th
e 
time
 
du
r
a
tion
 
o
f 
on
e 
c
y
cle 
is
 
c
all
e
d
 
an
 
ul
t
im
at
e
 
period.
T
h
e 
p
r
o
p
orti
o
na
l 
s
e
t
ting
 
th
a
t
 c
auses t
h
e
 
c
y
cling
 
is
 
c
alled the
ul
t
im
at
e
 
p
r
oportional
 
v
alue
Thes
e
 
t
w
o
 
v
alu
e
s
 
a
r
e
 
the
n
 use
d in
 
m
a
them
a
ti
c
al
 
f
ormula
s
 
t
o
c
alcul
a
t
e
 
the 
c
o
n
t
r
olle
r
 
s
e
t
tings
26
Co
n
tinuous
 
C
y
cle 
Calcu
l
a
tions
P
r
o
p
orti
o
na
l
 
o
n
ly
 
c
o
n
t
r
oller
P
r
op
o
rtional
 
Gain
K
c
 
= 
G
u
 
 
x
 
0.5
K
C
 
= p
r
oportiona
l
 
g
ain,
G
u
=
 
ul
ti
m
a
t
e
 
g
a
i
n
P
r
op
o
rtional
 
Band
PB
 
=
 
P
b
u
 
 
x 2
P
B 
= p
r
oportiona
l
 
ba
n
d
P
b
u
 
= u
l
t
i
m
a
t
e
 
p
r
oportiona
l
 
ba
n
d
C
o
n
tinu
o
u
s
 
C
y
cling
 
F
ormulas
27
28
Ziegle
r
-Nic
h
ol
s
 
R
eaction
 
Cu
r
v
e
 
T
uni
n
g
 
M
e
thod
T
h
is
 
m
e
th
o
d
 
a
v
oi
d
s the
 
f
o
r
c
e
d
 
o
scill
a
ti
o
n
s
 
th
a
t
 
a
r
e 
f
o
u
n
d in
the
 
c
o
n
tinuous
 c
y
cle 
tuning
 
meth
o
d
C
y
cling
 
sh
o
ul
d
 
b
e
 
a
v
oide
d
 
if
 
the
 p
r
oces
s 
is
 ha
z
a
r
dou
s
 or
cr
i
ti
c
al
T
h
is
 
m
e
th
o
d
 
use
s
 
st
ep
 
changes 
and
 
the 
r
at
e
 
a
t
 
which
 
the
p
r
oces
s
 
r
eacts 
is
 
r
e
c
o
r
ded
Th
e 
g
r
aph
 
p
r
oduce
s
 
th
r
ee
 
di
f
f
e
r
e
n
t
 
v
alu
e
s
 u
s
ed
 
in
m
a
them
a
ti
c
al
 
c
alcul
a
ti
o
n
s
 
t
o
 
d
e
t
ermine
 
the 
p
r
o
p
er 
c
o
n
t
r
oller
s
e
t
tings
R
eaction
 
Cu
r
v
e 
T
unin
g
 
F
ormulas
29
Di
r
ect
 
S
y
n
thesis
 
M
e
thod
T
he
 
d
i
r
e
c
t
 
s
y
n
t
hesi
s
 
m
e
t
ho
d
 
use
s
 
t
he
sam
e
 
p
r
ocedu
r
es
 
t
o
 
an
al
y
z
e
 
the
 
p
r
ocess
tim
e
s
 
as
 t
h
e
 
Zieg
l
er-N
i
chols
 
r
eact
i
on
cur
v
e
 
m
e
t
hod
On
e
 
ad
v
a
n
t
age
 
o
f
 
t
h
i
s
 m
e
t
ho
d
 
is 
th
a
t
 
it
d
i
r
e
c
tly
 
m
a
t
ches
 
(
s
y
n
t
hesi
z
es)
s
y
n
t
hesi
z
es
 
t
h
e
 
p
r
ocess
Th
e
 
f
i
r
s
t 
s
t
ep
 
in
 
this
 
m
e
th
o
d
 
is
 pe
r
f
o
r
m
 
a
bum
p 
t
e
s
t
 
and
 
r
e
c
o
r
d
i
n
g
 
t
h
e
 
d
y
n
amic
s
e
t
tli
n
g
 
time
Depend
i
n
g 
upo
n
 
the
 
c
ompl
e
xity
 
o
f
 
t
he
p
r
ocess
,
 
on
e
 
o
f
 
s
ev
e
r
al
 
dynam
i
c
r
e
spons
e
 
si
g
na
l
s
 
m
a
y
 
d
ev
elop
 
as
 
sh
o
wn
o
n
 
t
h
e
 
r
ig
h
t
30
Di
r
ect
 
S
y
n
thesis
 
T
u
n
ing
 
Calc
u
l
a
tions
31
32
Ad
v
anced
 
Co
n
t
r
o
l
 
T
echniques
Som
e
 
c
ompl
e
x
 
manu
f
a
c
tur
i
n
g
 
ope
r
a
tio
n
s
 
r
equ
i
r
e
mo
r
e 
p
r
ecise
 
c
o
n
t
r
o
l
 
than
 
av
ai
l
ab
l
e with
 
PID
c
o
n
t
r
oll
e
r
s
F
ou
r
 
T
echn
i
que
s
 
f
r
equ
e
n
tly
 
use
d
 
a
r
e:
Cas
c
ade
 
c
o
n
t
r
ol
F
e
e
d
 
f
o
r
w
a
r
d
 
c
o
n
t
r
ol
R
a
tio
 c
o
n
t
r
ol
Adapti
v
e
 
c
o
n
t
r
ol
Cas
c
ade
 
Co
n
t
r
ol
Cas
c
ade
 
c
o
n
t
r
o
l
 
s
y
s
t
ems
us
e
 
a 
se
c
on
d 
f
e
e
dba
c
k
lo
o
p
 
with
 
a 
sepa
r
a
t
e
sens
or
 
and
 
c
o
n
t
r
oller
C
a
s
c
ade
 
c
o
n
t
r
o
l
 
is
e
f
f
e
c
ti
v
e
 in
 
o
v
e
r
c
oming
lag
 
in
 s
o
me
 
s
y
s
t
em
s
33
F
eed
f
o
r
w
a
r
d
 
Co
n
t
r
ol
F
e
e
d
f
o
r
w
a
r
d
 c
o
n
t
r
ol
me
a
su
r
es 
a
 
v
ari
a
bl
e
 
th
a
t
e
n
t
e
r
s
 
a 
p
r
oces
s 
and
 
t
a
k
es
c
or
r
e
c
ti
v
e
 
action
 
if
 
it
 
is
a
f
f
e
c
t
ed
 
by
 a 
di
s
turban
c
e,
r
educing
 
o
r
 
eli
m
in
a
ting
d
e
vi
a
tion
 
f
r
o
m 
the s
e
t
poi
n
t
34
R
a
tio 
Co
n
t
r
ol
U
s
ed
 
in
 
mixing
 
s
y
s
t
ems
whe
r
e
 
an
 un
c
o
n
t
r
olled
fl
ow
 
o
f 
m
a
t
eria
l
 
(
wild
fl
o
w
)
 
is
 
m
o
ni
t
o
r
ed
 
and
use
d
 
t
o
 
c
o
n
t
r
o
l
 
the
se
c
on
d
 m
at
eria
l
 
which
 
is
c
o
n
t
r
olle
d
 
a
c
c
o
r
din
g
 
t
o
the
 
desi
r
ed
 
ratio
 
b
e
t
w
e
e
n
the
 t
w
o
 
c
omp
o
ne
n
ts
35
36
Ada
p
ti
v
e 
Co
n
t
r
ol
T
o ac
c
ommo
d
a
t
e a
 
non
l
in
e
ar
 
p
r
oces
s
,
 
a
mic
r
oelect
r
oni
c
 c
o
n
t
r
olle
r
 
use
s
 
so
f
t
w
a
r
e t
h
a
t
ha
s
 
ada
p
ti
v
e
 
co
n
t
r
ol
 
c
apabi
l
i
t
ies
 
t
o
c
ompens
a
t
e
 
f
o
r 
n
o
nl
i
nea
r
 
t
r
ansd
u
ce
r
s and
sen
s
o
r
s
END
37
This workforce solution was funded by a grant awarded by
the U.S. Department of Labor’s Employment and Training
Administration. The solution was created by the grantee and
does not necessarily reflect the official position of the U.S.
Department of Labor. The Department of Labor makes not
guarantees, warranties, or assurances of any kind, express or
implied, with respect to such information, including any
information on linked sites and including, but not limited to,
accuracy of the information or tis completeness, timeliness,
usefulness, adequacy, continued availability, or ownership.
This work by Mineral Area College is licensed under the 
Creative Commons
Attribution 4.0 International License.
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Process control involves different methods such as open-loop and closed-loop control systems to ensure a controlled variable remains at a desired set-point. Open-loop systems operate without feedback, while closed-loop systems are more effective by incorporating a feedback loop for self-regulation. Factors like disturbances, varying loads, and set-point adjustments can impact the behavior of a process. Additionally, single-variable control loops are used in production machines, each consisting of measuring devices, transducers, controllers, and final control elements. Response time of instruments is critical, affected by factors like sensor response time, signal travel distance, and processing time of the controller.

  • Process Control
  • Open-loop Control
  • Closed-loop Control
  • Process Behavior
  • Variable Control

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  1. Process Control Methods 1

  2. Open-Loop Control Processcontrol operations are performed automaticallyby either open-loop or closed-loop systems Processes controlled only by set-point commands without feedbackare open-loop Open-loop systems are used in applications where simple processes are performed Open-loop systems are relatively inexpensive 2

  3. Closed-Loop Control Closed-loop control systems are more effective than open- loop systems With the addition of a feedback loop they become self-regulating Components of a closed- loop system include: The primary element - sensor The controlled variable The measured variable The control signal The final correcting element 3

  4. Process Behavior The objective of process control is to cause a controlled variable to remain at a constant value at or near some desired set-point The controlled variable changes because of: A disturbance appears Load demands vary Set points are adjusted 4

  5. Process Behavior Example Flow throughthe pipe is the process Fluid flow rate is the controlled variable Valve position is the set point Demandfor the fluid downstream is the load Variance in upstream pressure is the disturbance 5

  6. Single-Variable Control Loop Several process variables are controlled at once in a typical production machine Usually, only one individualfeedback loop is required to control each variable Single-variablecontrol loops consist of the following elements: Measuring device Transducer/transmitter Controller Final Control Element 6

  7. Response Time of the Instrument Factors affecting lag: Response time of sensor Time lag of transducer Distance the signal must travel Time required for the controller to process Distance control signal must travel Time lag of the final correcting element All instrumentshave a time lag - the time from when a variable is measuredtill the corrective action is taken 7

  8. Time Lag The controlled variable itself may contribute to lag problems because of inertia in the variable Lag due to inertia of the variable is referred to as pure lag Another factor that affects time lag is dead time - this is the elapsed time from when the deviation occurs and corrective action takes place 8

  9. Illustration of Pure Lag 9

  10. Selecting a Controller The controller mode selection is based upon the requirements of the process and one of the following control modes will be used: On/Off Proportional Integral Derivative 10

  11. On-Off Control Used for slow acting operations where lag is unavoidable Final correcting element is either fully-on or fully-off The primary drawback of on-off control is the rapid switching of the final control element On-off differential or hysteresis is programmed into the controller Deadbandrefers to the differing levels at which a controller switches on and off 11

  12. Continuous Control On/Off control is acceptable for processwhere the variable is set between two limits For processes where the variable needs to be kept at particularsetpoint level, proportional control is used Proportional action can be accomplished in two ways: Time ProportioningMethod Amplitude Proportional Method 12

  13. Time Proportioning Is a method whereby the output of the controller is continually switched on and off On versus off times are varied dependent upon process requirements 13

  14. Amplitude Proportional Most common technique to produce a proportional signal The control signal is proportional in amplitude to the error signal The signal may be amplified and the amplification may be referred to as proportional gain and proportional band 14

  15. Proportional Gain Comparison Level control at a gain of 1 15

  16. Proportional Gain Comparison (Gain set at 2) 16

  17. Proportional Band Proportional band is defined as the percentage change in the controlled variable that causes the final correcting element to go through 100 percent of its range Controlled Variable % Change Final CorrectingElement % Change PB = 17

  18. Integral Control Because of the introduction of offset in a control process, proportional control alone is often used in conjunctionwith Integral control Offset is the difference between set point and the measured value after corrective action has taken place 18

  19. Reset Action Integral control is also referred to as reset control as the set point is continuously reset as longas an error is present Integral adjustments that affect the outputare labeled 3 ways: Gain - expressed as a whole number Reset - Expressed in repeats per minute Integral Time - Expressed in minutes per reset 19

  20. Derivative Mode For rapid load changes, the derivative mode is typically used to prevent oscillation in a process system The derivative mode responds to the rate of change of the error signal rather than its amplitude Derivative mode is never used by itself, but in combination with other modes Derivative action cannot remove offset 20

  21. Control Mode Summary 21

  22. Tuning the Controller Fine-tuning is the process to optimize the controller operation by adjusting the following settings: Gain setting (proportional mode) Reset rate (integral mode) Rate (derivative mode) Three steps are taken when tuning a systems Study the control loop Obtain clearance for tuning procedures Confirm the correction operation of the system components 22

  23. Trial-and-Error Tuning Does not use mathematical methods, instead a chart recorder is used and several bump tests are made in the proportional and integral modes Trial-and-error tuning is very time consuming and requires considerable experience on the part of the technician or operator 23

  24. Ziegler-Nichols Tuning Methods Two formal procedures for tuning control loops: Continuous cycling method Reaction curve method 24

  25. Continuous Cycling Method The continuous cycling method analyzes the process by forcing the controlled variable to oscillatein even, continuous cycles The time duration of one cycle is called an ultimate period. The proportional setting that causes the cycling is called the ultimate proportionalvalue These two values are then used in mathematicalformulas to calculate the controller settings 25

  26. Continuous Cycle Calculations Proportional only controller Proportional Gain Kc= Gux 0.5 KC= proportional gain, Gu= ultimate gain Proportional Band PB = Pbux 2 PB = proportional band Pbu= ultimate proportional band 26

  27. Continuous Cycling Formulas 27

  28. Ziegler-Nichols Reaction Curve Tuning Method This method avoids the forced oscillations that are found in the continuous cycle tuning method Cycling should be avoided if the process is hazardous or critical This method uses step changes and the rate at which the process reacts is recorded The graph produces three different values used in mathematicalcalculations to determine the proper controller settings 28

  29. Reaction Curve Tuning Formulas 29

  30. Direct Synthesis Method The direct synthesis method uses the same procedures to analyze the process times as the Ziegler-Nichols reaction curve method One advantage of this method is that it directly matches (synthesizes) synthesizes the process The first step in this method is perform a bump test and recording the dynamic settlingtime Depending upon the complexityof the process, one of several dynamic response signalsmay develop as shown on the right 30

  31. DirectSynthesis Tuning Calculations 31

  32. Advanced Control Techniques Some complex manufacturing operations require more precise control than available with PID controllers Four Techniques frequently used are: Cascade control Feed forward control Ratio control Adaptive control 32

  33. Cascade Control Cascade control systems use a second feedback loop with a separate sensor and controller Cascadecontrol is effective in overcoming lag in some systems 33

  34. Feedforward Control Feedforward control measures a variable that enters a process and takes corrective action if it is affected by a disturbance, reducing or eliminating deviation from the set point 34

  35. Ratio Control Used in mixing systems where an uncontrolled flow of material (wild flow) is monitored and used to control the second material which is controlled according to the desired ratio between the two components 35

  36. Adaptive Control To accommodate a nonlinear process, a microelectronic controller uses software that has adaptive control capabilities to compensate for nonlinear transducers and sensors 36

  37. END 37

  38. This workforce solution was funded by a grant awarded by the U.S. Department of Labor s Employment and Training Administration. The solution was created by the grantee and does not necessarily reflect the official position of the U.S. Department of Labor. The Department of Labor makes not guarantees, warranties, or assurances of any kind, express or implied, with respect to such information, including any information on linked sites and including, but not limited to, accuracy of the information or tis completeness, timeliness, usefulness, adequacy, continued availability, or ownership. This work by Mineral Area College is licensed under the Creative Commons Attribution 4.0 International License.

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