Solution Manual for Modern Control Systems,
k k k k k
14th Global Edition By Richard C. Dorf
k k k k k k
Chapters 1 - 13, Complete
k k k k
,Tk k Ak k Bk k Lk Ek k -k k Ok k Fk -k k Ck Ok k Nk k Tk k Ek k Nk k Tk S
1. Introductionktok Controlk Systems............................................................ 1
2. Mathematicalk Modelsk ofk Systems .......................................................... 20
3. Statek Variablek Models............................................................................. 79
4. FeedbackkControlkSystemkCharacteristics ........................................ 126
5. Thek Performancek ofk Feedbackk Controlk Systems ................................ 166
6. Thek Stabilityk ofk Lineark Feedbackk Systems......................................... 216
7. Thek Rootk Locusk Method ...................................................................... 257
8. Frequencyk Responsek Methods .............................................................. 359
9. Stabilityk ink thek Frequencyk Domain ..................................................... 420
10. Thek Designk ofk Feedbackk Controlk Systems ......................................... 492
11. Thek Designk ofk Statek Variablek Feedbackk Systems ............................. 574
12. RobustkControlk Systems .................................................................... 633
13. Digitalk Controlk Systems ..................................................................... 691
, Ck k Hk Ak Pk k Tk Ek k R 1
Introduction to Control Systems k k k
Therekare,kinkgeneral,knokuniqueksolutionsktokthekfollowingkexerciseskand
kproblems.kOtherkequallykvalidkblockkdiagramskmaykbeksubmittedkbykthek
student.
Exercises
E1.1 Akmicroprocessorkcontrolledklaserksystem:
Error Currentki(t)
Desired Power
k powe - out
rk outp
ut
Measured
k power
E1.2 Ak driverk controlledk cruisek controlk system:
Controller
Footkpedal
Desired
Carkan Actual
Driver
k spee - dkEngi autok sp
eed
d ne
Measurement
Speedometer
Visual kindicationofkspee
d
E1.3k k Althoughk thek principlek ofk conservationk ofk momentumk explainsk muchk ofk
thekprocesskofkfly-
casting,ktherekdoesknotkexistkakcomprehensivekscientifickexplanationkofkhowk
akfly-fisherkusesktheksmallkbackwardkandkforwardkmo-
k tionk ofk thek flyk rodk tok castk ank almostk weightlessk flyk lurek longk distancesk (
the
1
, 2 CHAPTERk1k k Introductionk tokControlkSystems
currentkworld-
recordkisk236kft).kThekflyklurekiskattachedktokakshortkinvisiblekleaderkabou
tk15-
ftklong,kwhichkiskinkturnkattachedktokaklongerkandkthickerkDacronkline.kTh
ekobjectivekiskcastkthekflyklurektokakdistantkspotkwithkdead-
keyekaccuracyksokthatkthekthickerkpartkofktheklinektoucheskthekwaterkfirstk
andkthenkthekflykgentlyksettleskonkthekwaterkjustkaskankinsectkmight.
Wind
Controller
Mindkandk Actual
kof - bodykofkth k k ca k positi
fly ekfly- st onk of
fisher kthekfly
Measurement
kof
Visualkindicatio k
nk ofkthekposit
ionkofk thekfly
E1.4 Ank autofocuskcamerakcontrolk system:
One-wayktripktimekforkthekbeam
k1 Conversionkfactork (
speedkofklightkor
sound)
Emitter/
Distancektoksubject
k
Lens
k k k k k
14th Global Edition By Richard C. Dorf
k k k k k k
Chapters 1 - 13, Complete
k k k k
,Tk k Ak k Bk k Lk Ek k -k k Ok k Fk -k k Ck Ok k Nk k Tk k Ek k Nk k Tk S
1. Introductionktok Controlk Systems............................................................ 1
2. Mathematicalk Modelsk ofk Systems .......................................................... 20
3. Statek Variablek Models............................................................................. 79
4. FeedbackkControlkSystemkCharacteristics ........................................ 126
5. Thek Performancek ofk Feedbackk Controlk Systems ................................ 166
6. Thek Stabilityk ofk Lineark Feedbackk Systems......................................... 216
7. Thek Rootk Locusk Method ...................................................................... 257
8. Frequencyk Responsek Methods .............................................................. 359
9. Stabilityk ink thek Frequencyk Domain ..................................................... 420
10. Thek Designk ofk Feedbackk Controlk Systems ......................................... 492
11. Thek Designk ofk Statek Variablek Feedbackk Systems ............................. 574
12. RobustkControlk Systems .................................................................... 633
13. Digitalk Controlk Systems ..................................................................... 691
, Ck k Hk Ak Pk k Tk Ek k R 1
Introduction to Control Systems k k k
Therekare,kinkgeneral,knokuniqueksolutionsktokthekfollowingkexerciseskand
kproblems.kOtherkequallykvalidkblockkdiagramskmaykbeksubmittedkbykthek
student.
Exercises
E1.1 Akmicroprocessorkcontrolledklaserksystem:
Error Currentki(t)
Desired Power
k powe - out
rk outp
ut
Measured
k power
E1.2 Ak driverk controlledk cruisek controlk system:
Controller
Footkpedal
Desired
Carkan Actual
Driver
k spee - dkEngi autok sp
eed
d ne
Measurement
Speedometer
Visual kindicationofkspee
d
E1.3k k Althoughk thek principlek ofk conservationk ofk momentumk explainsk muchk ofk
thekprocesskofkfly-
casting,ktherekdoesknotkexistkakcomprehensivekscientifickexplanationkofkhowk
akfly-fisherkusesktheksmallkbackwardkandkforwardkmo-
k tionk ofk thek flyk rodk tok castk ank almostk weightlessk flyk lurek longk distancesk (
the
1
, 2 CHAPTERk1k k Introductionk tokControlkSystems
currentkworld-
recordkisk236kft).kThekflyklurekiskattachedktokakshortkinvisiblekleaderkabou
tk15-
ftklong,kwhichkiskinkturnkattachedktokaklongerkandkthickerkDacronkline.kTh
ekobjectivekiskcastkthekflyklurektokakdistantkspotkwithkdead-
keyekaccuracyksokthatkthekthickerkpartkofktheklinektoucheskthekwaterkfirstk
andkthenkthekflykgentlyksettleskonkthekwaterkjustkaskankinsectkmight.
Wind
Controller
Mindkandk Actual
kof - bodykofkth k k ca k positi
fly ekfly- st onk of
fisher kthekfly
Measurement
kof
Visualkindicatio k
nk ofkthekposit
ionkofk thekfly
E1.4 Ank autofocuskcamerakcontrolk system:
One-wayktripktimekforkthekbeam
k1 Conversionkfactork (
speedkofklightkor
sound)
Emitter/
Distancektoksubject
k
Lens
