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To Cascade, Ratio, and Feed
forward Control
 Develop the skills necessary to function as
an industrial process control engineer.
 Skills
 Tuning loops
 Control loop design
 Control loop troubleshooting
 Command of the terminology
 Fundamental understanding
 Process dynamics
 Feedback control
 Each of these techniques offers advantages with
respect to disturbance rejection:
 Cascade reduces the effect of specific types of
disturbances.
 Ratio reduces the effect of feed flow rates changes
 Feedforward control is a general methodology for
compensating for measured disturbances.
-6
-3
0
3
6
0 10 20 30 40 50
Time (seconds)
T'(K)
FB-only
Compensating
for disturbances
Fin
FC
LT
RSP
FT
Fout
Lsp
LC
Fin
LT
Fout
Lsp
LC
 Without a cascade level controller, changes in
downstream pressure will disturb the tank level.
 With cascade level controller, changes in
downstream pressure will be absorbed by the flow
controller before they can significantly affect tank
level because the flow controller responds faster to
this disturbance than the tank level process.
 Secondary loop should reduce the effect of one or
more disturbances.
 Secondary loop must be at least 3 times faster than
master loop.
 The CV for the secondary loop should have a direct
effect on the CV for the primary loop.
 The secondary loop should be tuned tightly.
Feed
Product
TT
Cooling
water
TC
Feed
Product
TT
Cooling
water
TCTT
TC
RSP
 Without cascade, changes in the cooling water
temperature will create a significant upset for the
reactor temperature.
 With cascade, changes in the cooling water
temperature will be absorbed by the slave loop before
they can significantly affect the reactor temperature.
FT
AC
AT
TCTT
FC
RSP
RSP
 This approach works because the flow control
loop is much faster than the temperature
control loop which is much faster than the
composition control loop.
TT
PT
Condensate
Steam
Feed
 Draw schematic: A temperature controller on the
outlet stream is cascaded to a pressure controller on
the steam which is cascaded to a control valve on
the condensate.
TT
PTPCTC
Condensate
Steam
RSP
Feed
 Useful when the manipulated variable scales directly
with the feed rate to the process.
 Dynamic compensation is required when the
controlled variable responds dynamically different to
feed rate changes than it does to a changes in the
manipulated variable.
Time
ImpurityConcentration
w/ ratio control
w/o ratio control
NaOH
SolutionAcid
Wastewater
Effluent
FTFT
FC
pHTpHC
 RSP
 The flow rate of base scales directly with the flow rate
of the acidic wastewater.
 The output of the pH controller is the ratio of NaOH
flow rate to acid wastewater flow rate; therefore, the
product of the controller output and the measured
acid wastewater flow rate become the setpoint for the
flow controller on the NaOH addition.
Steam
Feed
Product
TT
FT
FC
FT AT
AC
Vent
×
FT
AC
AT
FC
RSP

FT
Feed
DC
FT
FT TT
Flue
Gas
Process
Fluid
Fuel
 Draw schematic: For a control system that adjusts
the ratio of fuel flow to the flow rate of the process
fluid to control the outlet temperature of the process
fluid. Use a flow controller on the fuel.
FT
FC
FT TT
× TC
RSP
Flue
Gas
Process
Fluid
Fuel
Ratio
Make-up
Water
To Steam
Users
LT
LC
Make-up
Water
To Steam Users
LT
FT
FF
To Steam
Users
LT
FT FF
LC +
Make-up Water
 Feedback-only must absorb the variations in steam
usage by feedback action only.
 Feedforward-only handle variation in steam usage but
small errors in metering will eventually empty or fill
the tank.
 Combined feedforward and feedback has best features
of both controllers.
Cff(s)
Y(s)
Gd(s)
D(s)
++Ga(s)
Gff
(s)
Gp(s)
Gds
(s)
)()()(
)(
)(
)(forSolving
0)()()()()()()()(
sGsGsG
sG
sG
sG
sGsDsGsGsGsGsDsY
pads
d
ff
ff
dpaffds



ffldff
s
ldff
s
dp
s
pd
ff
d
s
d
d
p
s
p
pads
K
s
esK
esK
esK
sG
s
eK
sG
s
eK
sGsGsG
ff
p
d
d
p












,,,:parametersLead/Lag
)1(
)1(
)1(
)1(
)(
1
)(
1
)()()(
lg
lg 














Time
cff
ld/lg = ½
ld/lg = 1
ld/lg = 2
ffff KsG )(
 A static feedforward controller make a
correction that is directly proportional to the
disturbance change.
 A static feedforward controller is used when the
process responds in a similar fashion to a
change in the disturbance and the manipulated
variable.
FF
Feed
FT
Coolant
Outlet
Coolant
Inlet
TT
FT
FC
1
)(
ld
s



s
eK
sG
ff
ff
ff


Q
ToTi
0 2 4 6 8 10
Time (minutes)
To
2
Ti
10ºC
10ºC
0 2 4 6 8 10
Time (minutes)
10ºC
10 kW Q
To
-4
0
4
8
12
0 2 4 6 8 10
Time
T'(ºC)
6.5 ºC
 When the inlet temperature drops by 20ºC, Q is immediately
increased by 20 kW.
 Deviations from setpoint result from dynamic mismatch
-30
-15
0
15
30
0 2 4 6 8 10
Time (minutes)
T'(ºC)
Ti effect
Net result
FF Effect
 FF correction is mirror image of disturbance effect.
 Net effect is no change in controlled variable.
 Since the Q affects the process slower than Ti ,
initially overcompensation in Q is required
followed by cutting back on Q to 20 kW.
-4
0
4
8
12
0 2 4 6 8 10
Time (minutes)
T'(C)
w/o DC
w/ DC
0 5 10 15 20
Time (minutes)
Q
w/o DC
w/ DC
Time
cff
ld/lg = ½
ld/lg = 1
ld/lg = 2
 Make initial estimates of lead/lag parameters based
on process knowledge.
 Under open loop conditions, adjust Kff until steady-
state deviation from setpoint is minimized.
Time
y
 Analyzing the dynamic mismatch, adjust ff.
Time
y
 Finally, adjust (ld - lg) until approximately equal
areas above and below the setpoint result.
Time
y
 Can effectively eliminate disturbances for fast
responding processes.
 But it waits until the disturbance upsets the process
before taking corrective action.
 Can become unstable due to nonlinearity and
disturbance upsets.
 Compensates for d’s before process is affected
 Most effective for slow processes and for processes
with significant deadtime.
 Can improve reliability of the feedback controller by
reducing the deviation from setpoint.
 Since it is a linear controller, its performance will
deteriorate with nonlinearity.
Cfb(s)Ysp(s)
Gp
(s)
Y(s)
+
+
++
+-
Gc
(s)
D(s)
Gd
(s)
Gff(s)
Cff(s)
Steam
Feed
Product
TT
FT
FC
+
TC
TT
FF
RSP
-6
-3
0
3
6
0 10 20 30 40 50
Time (seconds)
T'(K)
FB-only
FF+FB
FF-only
 FB-only returns to setpoint quickly but has large
deviation from setpoint.
 FF-only reduces the deviation from setpoint but is
slow to return to setpoint.
 FF+FB reduces deviation from setpoint and
provides fast return to setpoint.
TT PT
Condensate
Steam
Feed
TT
 Draw schematic: For a combined feedforward and feedback
controller in which the inlet feed temperature is the
feedforward variable and the outlet temperature is the
feedback variable. The combined controller output is the
setpoint for a steam pressure controller.
TT PT
PCTC
Condensate
Steam
RSP
Feed
TT
FF
+
 Cascade can effectively remove certain disturbances
if the slave loop is at least 3 times faster than the
master loop.
 Ratio control is effective for processes that scale
with the feed rate.
 Feedforward can be effective for measured
disturbances for slow responding processes as long
as the process nonlinearity is not too great.

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Control configuration in digital control