Solution Manual for Modern Control Systems,
14th Global Edition By Richard C. Dorf
Chapters 1 - 13, Complete
,Th 2 h 2 Ah 2 h 2 Bh 2 h 2 Lh 2 Eh 2 h 2 -h 2 h 2 Oh 2 h 2 Fh 2 -
h 2 h 2 Ch 2 Oh 2 h 2 Nh 2 h 2 Th 2 h 2 Eh 2 h 2 Nh 2 h 2 Th 2 S
1. Introductionh2toh2 Controlh2Systems ........................................................ 1
2. Mathematicalh 2 Modelsh 2 ofh 2 Systems .................................................... 20
3. Stateh 2 Variableh 2 Models ........................................................................ 79
4. Feedbackh2Controlh2Systemh2Characteristics ..................................... 126
5. Theh 2 Performanceh 2 ofh 2 Feedbackh 2 Controlh 2 Systems ...................... 166
6. Theh 2 Stabilityh 2 ofh 2 Linearh 2 Feedbackh 2 Systems .............................. 216
7. Theh 2 Rooth 2 Locush 2 Method ............................................................... 257
8. Frequencyh 2 Responseh 2 Methods .......................................................... 359
9. Stabilityh 2 inh 2 theh 2 Frequencyh 2 Domain ............................................. 420
10. Theh 2 Designh 2 ofh 2 Feedbackh 2 Controlh 2 Systems ............................... 492
11. Theh 2 Designh 2 ofh 2 Stateh 2 Variableh 2 Feedbackh 2 Systems.................. 574
12. Robusth2Controlh2Systems .................................................................. 633
13. Digitalh 2 Controlh 2 Systems .................................................................. 691
, Ch 2 h 2 Hh 2 Ah 2 Ph 2 h 2 T h 2 Eh
2h2R 1
Introduction to Control Systems h2 h2 h2
Thereh2are,h2inh2general,h2noh2uniqueh2solutionsh2toh2theh2followingh2exercis
esh2andh2problems.h2Otherh2equallyh2validh2blockh2diagramsh2mayh2beh2sub
mittedh2byh2theh2student.
Exercises
E1.1 Ah2microprocessorh2controlledh2laserh2system:
Error Currenth2i(t)
Desired Power
h 2 po - out
werh 2
output
Measured
h 2 pow
er
E1.2 Ah2 driverh 2 controlledh 2 cruiseh2 controlh 2 system:
Controller
Footh2pedal
Desired
Carh2an Actual
Driver
h 2 sp
eed
- dh2Eng autoh 2
speed
Measurement ine
Speedometer
Visualh2indication
ofh2spee
d
E1.3h 2 h 2 Althoughh 2 theh 2 principleh 2 ofh 2 conservationh 2 ofh 2 momentumh 2 explains
h2 muchh 2 ofh2theh2processh2ofh2fly-
casting,h2thereh2doesh2noth2existh2ah2comprehensiveh2scientifich2explanationh2of
h2howh2ah2fly-fisherh2usesh2theh2smallh2backwardh2andh2forwardh2mo-
h 2 tionh 2 ofh 2 theh 2 flyh 2 rodh 2 toh 2 casth 2 anh 2 almosth 2 weightlessh 2 flyh 2 lureh 2 lon
gh 2 distancesh 2 (the
1
, 2 CHAPTERh21h 2 h 2 Introductionh2 toh2Controlh2Systems
currenth2world-
recordh2ish2236h2ft).h2Theh2flyh2lureh2ish2attachedh2toh2ah2shorth2invisibleh2lea
derh2abouth215-
fth2long,h2whichh2ish2inh2turnh2attachedh2toh2ah2longerh2andh2thickerh2Dacronh
2line.h2Theh2objectiveh2ish2casth2theh2flyh2lureh2toh2ah2distanth2spoth2withh2dea
d-
h2eyeh2accuracyh2soh2thath2theh2thickerh2parth2ofh2theh2lineh2touchesh2theh2w
aterh2firsth2andh2thenh2theh2flyh2gentlyh2settlesh2onh2theh2waterh2justh2ash2anh
2insecth2might.
Wind
Controller
Mindh2and Actual
h2bodyh2of
fly
h2of - h2theh2fly-
h2 h h 2 pos
itionh
2cast 2 ofh2t
fisher heh2fly
Measurement
h2of
Visualh2indicati h2
onh 2 ofh2theh
2positionh2ofh
E1.4 Anh2 autofocush2camerah2controlh2 system:
One-wayh2triph2timeh2forh2theh2beam
Conversionh2factor
h21
h 2 (speedh2ofh2li
ghth2or
sound)
Emitter/
Distanceh2toh2subject
h
2
Lens
14th Global Edition By Richard C. Dorf
Chapters 1 - 13, Complete
,Th 2 h 2 Ah 2 h 2 Bh 2 h 2 Lh 2 Eh 2 h 2 -h 2 h 2 Oh 2 h 2 Fh 2 -
h 2 h 2 Ch 2 Oh 2 h 2 Nh 2 h 2 Th 2 h 2 Eh 2 h 2 Nh 2 h 2 Th 2 S
1. Introductionh2toh2 Controlh2Systems ........................................................ 1
2. Mathematicalh 2 Modelsh 2 ofh 2 Systems .................................................... 20
3. Stateh 2 Variableh 2 Models ........................................................................ 79
4. Feedbackh2Controlh2Systemh2Characteristics ..................................... 126
5. Theh 2 Performanceh 2 ofh 2 Feedbackh 2 Controlh 2 Systems ...................... 166
6. Theh 2 Stabilityh 2 ofh 2 Linearh 2 Feedbackh 2 Systems .............................. 216
7. Theh 2 Rooth 2 Locush 2 Method ............................................................... 257
8. Frequencyh 2 Responseh 2 Methods .......................................................... 359
9. Stabilityh 2 inh 2 theh 2 Frequencyh 2 Domain ............................................. 420
10. Theh 2 Designh 2 ofh 2 Feedbackh 2 Controlh 2 Systems ............................... 492
11. Theh 2 Designh 2 ofh 2 Stateh 2 Variableh 2 Feedbackh 2 Systems.................. 574
12. Robusth2Controlh2Systems .................................................................. 633
13. Digitalh 2 Controlh 2 Systems .................................................................. 691
, Ch 2 h 2 Hh 2 Ah 2 Ph 2 h 2 T h 2 Eh
2h2R 1
Introduction to Control Systems h2 h2 h2
Thereh2are,h2inh2general,h2noh2uniqueh2solutionsh2toh2theh2followingh2exercis
esh2andh2problems.h2Otherh2equallyh2validh2blockh2diagramsh2mayh2beh2sub
mittedh2byh2theh2student.
Exercises
E1.1 Ah2microprocessorh2controlledh2laserh2system:
Error Currenth2i(t)
Desired Power
h 2 po - out
werh 2
output
Measured
h 2 pow
er
E1.2 Ah2 driverh 2 controlledh 2 cruiseh2 controlh 2 system:
Controller
Footh2pedal
Desired
Carh2an Actual
Driver
h 2 sp
eed
- dh2Eng autoh 2
speed
Measurement ine
Speedometer
Visualh2indication
ofh2spee
d
E1.3h 2 h 2 Althoughh 2 theh 2 principleh 2 ofh 2 conservationh 2 ofh 2 momentumh 2 explains
h2 muchh 2 ofh2theh2processh2ofh2fly-
casting,h2thereh2doesh2noth2existh2ah2comprehensiveh2scientifich2explanationh2of
h2howh2ah2fly-fisherh2usesh2theh2smallh2backwardh2andh2forwardh2mo-
h 2 tionh 2 ofh 2 theh 2 flyh 2 rodh 2 toh 2 casth 2 anh 2 almosth 2 weightlessh 2 flyh 2 lureh 2 lon
gh 2 distancesh 2 (the
1
, 2 CHAPTERh21h 2 h 2 Introductionh2 toh2Controlh2Systems
currenth2world-
recordh2ish2236h2ft).h2Theh2flyh2lureh2ish2attachedh2toh2ah2shorth2invisibleh2lea
derh2abouth215-
fth2long,h2whichh2ish2inh2turnh2attachedh2toh2ah2longerh2andh2thickerh2Dacronh
2line.h2Theh2objectiveh2ish2casth2theh2flyh2lureh2toh2ah2distanth2spoth2withh2dea
d-
h2eyeh2accuracyh2soh2thath2theh2thickerh2parth2ofh2theh2lineh2touchesh2theh2w
aterh2firsth2andh2thenh2theh2flyh2gentlyh2settlesh2onh2theh2waterh2justh2ash2anh
2insecth2might.
Wind
Controller
Mindh2and Actual
h2bodyh2of
fly
h2of - h2theh2fly-
h2 h h 2 pos
itionh
2cast 2 ofh2t
fisher heh2fly
Measurement
h2of
Visualh2indicati h2
onh 2 ofh2theh
2positionh2ofh
E1.4 Anh2 autofocush2camerah2controlh2 system:
One-wayh2triph2timeh2forh2theh2beam
Conversionh2factor
h21
h 2 (speedh2ofh2li
ghth2or
sound)
Emitter/
Distanceh2toh2subject
h
2
Lens