Solution Manual for Modern Control Systems,
s s s s s
14th Global Edition By Richard C. Dorf
s s s s s s
Chapters 1 - 13, Complete
s s s s
,T A B L E - O F - C O N T E N T S
1. Introduction sto sControl sSystems ....................................................... 1
2. Mathematical s Models s of s Systems.................................................. 20
3. State s Variable s Models .................................................................... 79
4. Feedback sControl sSystem sCharacteristics ...................................... 126
5. The s Performance s of s Feedback s Control s Systems .................... 166
6. The s Stability s of s Linear s Feedback s Systems .......................... 216
7. The s Root s Locus s Method........................................................... 257
8. Frequency s Response s Methods ....................................................... 359
9. Stability s in s the s Frequency s Domain ......................................... 420
10. The s Design s of s Feedback s Control s Systems ............................. 492
11. The s Design s of s State s Variable s Feedback s Systems................ 574
12. Robust sControl sSystems ................................................................. 633
13. Digital s Control s Systems ................................................................ 691
, C H A P T E R 1
Introduction to Control Systems s s s
There sare, sin sgeneral, sno sunique ssolutions sto sthe sfollowing sexercises
sand sproblems. sOther sequally svalid s block sdiagrams smay sbe ssubmitted
sby sthe sstudent.
Exercises
E1.1 A smicroprocessor scontrolled slaser ssystem:
Error Current si(t)
Desired Power
s power - out
s output
Measured
s power
E1.2 A s driver s controlled s cruise s control s system:
Controller
Foot spedal
Desired
Car and Actual
Driver
s spee - Engine auto
s speed
d
Measurement
Speedometer
Visual sindicationof speed
E1.3 s s Although s the s principle s of s conservation s of s momentum
s explains s much s of sthe sprocess sof sfly-casting, sthere sdoes snot sexist sa
scomprehensive sscientific sexplanation sof show sa sfly-fisher suses sthe ssmall
sbackward sand sforward smo- s tion s of s the s fly s rod s to s cast s an s almost
s weightless s fly s lure s long s distances s (the
1
, 2 CHAPTER s 1 s s Introduction s to s Control sSystems
current sworld-record sis s236 sft). sThe sfly slure sis sattached sto sa sshort
sinvisible sleader sabout s15-ft slong, swhich sis s in sturn sattached sto s a
slonger sand sthicker sDacron sline. sThe sobjective s is s cast sthe sfly slure s to s a
sdistant sspot swith sdead- seye saccuracy sso s that sthe sthicker spart sof sthe
sline stouches sthe swater sfirst sand sthen sthe sfly sgently ssettles son sthe
swater s just sas san sinsect smight.
Wind
Controller
Mind and Actual
fly
of - body of the
fly-fisher
cast s positi
on
s of
sthe sfly
Measurement
of
Visual indication
of the position of
the fly
E1.4 An sautofocus scamera s control s system:
One-way strip stime sfor sthe sbeam
Conversion sfactor
1 s (speed sof slight
sor
sound)
Emitter/
Distance sto ssubject
Lens
s s s s s
14th Global Edition By Richard C. Dorf
s s s s s s
Chapters 1 - 13, Complete
s s s s
,T A B L E - O F - C O N T E N T S
1. Introduction sto sControl sSystems ....................................................... 1
2. Mathematical s Models s of s Systems.................................................. 20
3. State s Variable s Models .................................................................... 79
4. Feedback sControl sSystem sCharacteristics ...................................... 126
5. The s Performance s of s Feedback s Control s Systems .................... 166
6. The s Stability s of s Linear s Feedback s Systems .......................... 216
7. The s Root s Locus s Method........................................................... 257
8. Frequency s Response s Methods ....................................................... 359
9. Stability s in s the s Frequency s Domain ......................................... 420
10. The s Design s of s Feedback s Control s Systems ............................. 492
11. The s Design s of s State s Variable s Feedback s Systems................ 574
12. Robust sControl sSystems ................................................................. 633
13. Digital s Control s Systems ................................................................ 691
, C H A P T E R 1
Introduction to Control Systems s s s
There sare, sin sgeneral, sno sunique ssolutions sto sthe sfollowing sexercises
sand sproblems. sOther sequally svalid s block sdiagrams smay sbe ssubmitted
sby sthe sstudent.
Exercises
E1.1 A smicroprocessor scontrolled slaser ssystem:
Error Current si(t)
Desired Power
s power - out
s output
Measured
s power
E1.2 A s driver s controlled s cruise s control s system:
Controller
Foot spedal
Desired
Car and Actual
Driver
s spee - Engine auto
s speed
d
Measurement
Speedometer
Visual sindicationof speed
E1.3 s s Although s the s principle s of s conservation s of s momentum
s explains s much s of sthe sprocess sof sfly-casting, sthere sdoes snot sexist sa
scomprehensive sscientific sexplanation sof show sa sfly-fisher suses sthe ssmall
sbackward sand sforward smo- s tion s of s the s fly s rod s to s cast s an s almost
s weightless s fly s lure s long s distances s (the
1
, 2 CHAPTER s 1 s s Introduction s to s Control sSystems
current sworld-record sis s236 sft). sThe sfly slure sis sattached sto sa sshort
sinvisible sleader sabout s15-ft slong, swhich sis s in sturn sattached sto s a
slonger sand sthicker sDacron sline. sThe sobjective s is s cast sthe sfly slure s to s a
sdistant sspot swith sdead- seye saccuracy sso s that sthe sthicker spart sof sthe
sline stouches sthe swater sfirst sand sthen sthe sfly sgently ssettles son sthe
swater s just sas san sinsect smight.
Wind
Controller
Mind and Actual
fly
of - body of the
fly-fisher
cast s positi
on
s of
sthe sfly
Measurement
of
Visual indication
of the position of
the fly
E1.4 An sautofocus scamera s control s system:
One-way strip stime sfor sthe sbeam
Conversion sfactor
1 s (speed sof slight
sor
sound)
Emitter/
Distance sto ssubject
Lens
