Solution Manual for Control Systems Engineering, 8th
Edition by Norman S. Nise
, O N E r r
Introduction
ANSWERS rTO rREVIEW rQUESTIONS
1. Guided rmissiles, rautomatic rgain rcontrol rin rradio rreceivers, rsatellite rtracking rantenna
2. Yes r- rpower rgain, rremote rcontrol, rparameter rconversion; rNo r- rExpense, rcomplexity
3. Motor, rlow rpass rfilter, rinertia rsupported rbetween rtwo rbearings
4. Closed-loop rsystems rcompensate rfor rdisturbances rby rmeasuring rthe rresponse, rcomparing rit
rto rthe rinput rresponse r(the rdesired routput), rand rthen rcorrecting rthe routput rresponse.
5. Under rthe rcondition rthat rthe rfeedback relement ris rother rthan runity
6. Actuating rsignal
7. Multiple rsubsystems rcan rtime rshare rthe rcontroller. rAny radjustments rto rthe rcontroller rcan
r be rimplemented rwith rsimply rsoftware rchanges.
8. Stability, rtransient rresponse, rand rsteady-state rerror
9. Steady-state, rtransient
10. It rfollows ra rgrowing rtransient rresponse runtil rthe rsteady-state rresponse ris rno rlonger rvisible.
r The rsystem rwill reither rdestroy ritself, rreach ran requilibrium rstate rbecause rof rsaturation rin
r driving ramplifiers, ror rhit rlimit rstops.
11. Transient rresponse
12. True
13. Transfer rfunction, rstate-space, rdifferential requations
14. Transfer rfunction r- rthe rLaplace rtransform rof rthe rdifferential requation
State-space r- rrepresentation rof ran rnth rorder rdifferential requation ras rn rsimultaneous rfirst-order
r differential requations
Differential requation r- rModeling ra rsystem rwith rits rdifferential requation
SOLUTIONS rTO rPROBLEMS
50 rvolts
1. Five rturns ryields r50 rv. rTherefore rK = r1.59
r= r5 rx r2 rrad
,
, 2 r Chapter r1:
r Introduction
2.
Desired Temperature Voltage Actual
Fuel
rtemperatur rdifference rdifference
rflow rtemperature
e
+ Amplifier
r Thermostat Heater
rand
- rvalves
3.
Desired Input Error Aileron Roll Roll
rroll rvoltag rvoltag rpositio rrat rangl
rangle e e n e e
+
controls
-
4.
Input
Speed
Desired rvoltag
rError Motor Actual
rspeed e rspee
rvoltag rand
transducer Amplifier d
+ e rdrive
system
- Dancer
Dancer
position
rdynamic
rsensor
Voltage s
rproportiona
l
to ractual rspeed
5.
Input Power Rod
rError rpositio
rvoltag
Desired e rvoltag Motor n Actual
power e rand rpowe
+ Amplifier
Transducer rdrive Reactor r
rsyste
-
m
Sensor r&
rtransduce
Voltage r
rproportiona
l
to ractual rpower
Edition by Norman S. Nise
, O N E r r
Introduction
ANSWERS rTO rREVIEW rQUESTIONS
1. Guided rmissiles, rautomatic rgain rcontrol rin rradio rreceivers, rsatellite rtracking rantenna
2. Yes r- rpower rgain, rremote rcontrol, rparameter rconversion; rNo r- rExpense, rcomplexity
3. Motor, rlow rpass rfilter, rinertia rsupported rbetween rtwo rbearings
4. Closed-loop rsystems rcompensate rfor rdisturbances rby rmeasuring rthe rresponse, rcomparing rit
rto rthe rinput rresponse r(the rdesired routput), rand rthen rcorrecting rthe routput rresponse.
5. Under rthe rcondition rthat rthe rfeedback relement ris rother rthan runity
6. Actuating rsignal
7. Multiple rsubsystems rcan rtime rshare rthe rcontroller. rAny radjustments rto rthe rcontroller rcan
r be rimplemented rwith rsimply rsoftware rchanges.
8. Stability, rtransient rresponse, rand rsteady-state rerror
9. Steady-state, rtransient
10. It rfollows ra rgrowing rtransient rresponse runtil rthe rsteady-state rresponse ris rno rlonger rvisible.
r The rsystem rwill reither rdestroy ritself, rreach ran requilibrium rstate rbecause rof rsaturation rin
r driving ramplifiers, ror rhit rlimit rstops.
11. Transient rresponse
12. True
13. Transfer rfunction, rstate-space, rdifferential requations
14. Transfer rfunction r- rthe rLaplace rtransform rof rthe rdifferential requation
State-space r- rrepresentation rof ran rnth rorder rdifferential requation ras rn rsimultaneous rfirst-order
r differential requations
Differential requation r- rModeling ra rsystem rwith rits rdifferential requation
SOLUTIONS rTO rPROBLEMS
50 rvolts
1. Five rturns ryields r50 rv. rTherefore rK = r1.59
r= r5 rx r2 rrad
,
, 2 r Chapter r1:
r Introduction
2.
Desired Temperature Voltage Actual
Fuel
rtemperatur rdifference rdifference
rflow rtemperature
e
+ Amplifier
r Thermostat Heater
rand
- rvalves
3.
Desired Input Error Aileron Roll Roll
rroll rvoltag rvoltag rpositio rrat rangl
rangle e e n e e
+
controls
-
4.
Input
Speed
Desired rvoltag
rError Motor Actual
rspeed e rspee
rvoltag rand
transducer Amplifier d
+ e rdrive
system
- Dancer
Dancer
position
rdynamic
rsensor
Voltage s
rproportiona
l
to ractual rspeed
5.
Input Power Rod
rError rpositio
rvoltag
Desired e rvoltag Motor n Actual
power e rand rpowe
+ Amplifier
Transducer rdrive Reactor r
rsyste
-
m
Sensor r&
rtransduce
Voltage r
rproportiona
l
to ractual rpower
