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Solution Manual for Modern Control Systems,
14th Global Edition By Richard C. Dorf
Chapters 1 - 13, Complete
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T A B L E - O F - C O N T E N T S
1. Introduction to Control Systems ............................................................ 1
2. Mathematical Models of Systems........................................................... 20
3. State Variable Models ............................................................................. 79
4. Feedback Control System Characteristics ......................................... 126
5. The Performance of Feedback Control Systems ................................. 166
6. The Stability of Linear Feedback Systems .......................................... 216
7. The Root Locus Method....................................................................... 257
8. Frequency Response Methods .............................................................. 359
9. Stability in the Frequency Domain ...................................................... 420
10. The Design of Feedback Control Systems .......................................... 492
11. The Design of State Variable Feedback Systems ............................... 574
12. Robust Control Systems ..................................................................... 633
13. Digital Control Systems ..................................................................... 691
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C H A P T E R 1
Introduction to Control Systems
There are, in general, no unique solutions to the following exercises and
problems. Other equally valid block diagrams may be submitted by the
student.
Exercises
E1.1 A microprocessor controlled laser system:
Error Current i(t)
Desired Power
power - out
output
Measured
power
E1.2 A driver controlled cruise control system:
Controller
Foot pedal
Desired
Car and Actual
Driver
speed - Engine auto
speed
Measurement
Speedometer
Visual indication of speed
E1.3 Although the principle of conservation of momentum explains much of
the process of fly-casting, there does not exist a comprehensive scientific
explanation of how a fly-fisher uses the small backward and forward mo-
tion of the fly rod to cast an almost weightless fly lure long distances (the
1
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2 CHAPTER dx 1 d x d x Introduction dx to dx Control dx Systems
current dxworld-record dxis dx236 dxft). dxThe dxfly dxlure dxis dxattached dxto
dxa dxshort dxinvisible dxleader dxabout dx15-ft dxlong, dxwhich dxis dxin dxturn
dxattached dxto dxa dxlonger dxand dxthicker dxDacron dxline. dxThe
dxobjective dxis dxcast dxthe dxfly dxlure dxto dxa dxdistant dxspot dxwith
dxdead- dxeye dxaccuracy dxso dxthat dxthe dxthicker dxpart dxof dxthe dxline
dxtouches dxthe dxwater dxfirst dxand dxthen dxthe dxfly dxgently dxsettles dxon
dxthe dxwater dxjust dxas dxan dxinsect dxmight.
Wind
Controller
Mind and Actual
fly
of - body of the
fly-fisher
cast d x po
sition
d x of
dxthe
dxfly
Measurement
of
Visual indication
of the position of
the fly
E1.4 An dx autofocus dx camera dx control dx system:
One-way dxtrip dxtime dxfor dxthe dxbeam
1 dxfactor
Conversion
d x (speed dxof
dxlight dxor
Emitter/ sound)
Distance dxto dxsubject
Lens
https://www.stuvia.com/user/THEPROWESShttps://www.stuvia.com/user/THEPROWESS
Solution Manual for Modern Control Systems,
14th Global Edition By Richard C. Dorf
Chapters 1 - 13, Complete
https://www.stuvia.com/user/THEPROWESShttps://www.stuvia.com/user/THEPROWESS
,https://www.stuvia.com/user/THEPROWESS
T A B L E - O F - C O N T E N T S
1. Introduction to Control Systems ............................................................ 1
2. Mathematical Models of Systems........................................................... 20
3. State Variable Models ............................................................................. 79
4. Feedback Control System Characteristics ......................................... 126
5. The Performance of Feedback Control Systems ................................. 166
6. The Stability of Linear Feedback Systems .......................................... 216
7. The Root Locus Method....................................................................... 257
8. Frequency Response Methods .............................................................. 359
9. Stability in the Frequency Domain ...................................................... 420
10. The Design of Feedback Control Systems .......................................... 492
11. The Design of State Variable Feedback Systems ............................... 574
12. Robust Control Systems ..................................................................... 633
13. Digital Control Systems ..................................................................... 691
https://www.stuvia.com/user/THEPROWESShttps://www.stuvia.com/user/THEPROWESS
,https://www.stuvia.com/user/THEPROWESS
C H A P T E R 1
Introduction to Control Systems
There are, in general, no unique solutions to the following exercises and
problems. Other equally valid block diagrams may be submitted by the
student.
Exercises
E1.1 A microprocessor controlled laser system:
Error Current i(t)
Desired Power
power - out
output
Measured
power
E1.2 A driver controlled cruise control system:
Controller
Foot pedal
Desired
Car and Actual
Driver
speed - Engine auto
speed
Measurement
Speedometer
Visual indication of speed
E1.3 Although the principle of conservation of momentum explains much of
the process of fly-casting, there does not exist a comprehensive scientific
explanation of how a fly-fisher uses the small backward and forward mo-
tion of the fly rod to cast an almost weightless fly lure long distances (the
1
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, https://www.stuvia.com/user/THEPROWESS
2 CHAPTER dx 1 d x d x Introduction dx to dx Control dx Systems
current dxworld-record dxis dx236 dxft). dxThe dxfly dxlure dxis dxattached dxto
dxa dxshort dxinvisible dxleader dxabout dx15-ft dxlong, dxwhich dxis dxin dxturn
dxattached dxto dxa dxlonger dxand dxthicker dxDacron dxline. dxThe
dxobjective dxis dxcast dxthe dxfly dxlure dxto dxa dxdistant dxspot dxwith
dxdead- dxeye dxaccuracy dxso dxthat dxthe dxthicker dxpart dxof dxthe dxline
dxtouches dxthe dxwater dxfirst dxand dxthen dxthe dxfly dxgently dxsettles dxon
dxthe dxwater dxjust dxas dxan dxinsect dxmight.
Wind
Controller
Mind and Actual
fly
of - body of the
fly-fisher
cast d x po
sition
d x of
dxthe
dxfly
Measurement
of
Visual indication
of the position of
the fly
E1.4 An dx autofocus dx camera dx control dx system:
One-way dxtrip dxtime dxfor dxthe dxbeam
1 dxfactor
Conversion
d x (speed dxof
dxlight dxor
Emitter/ sound)
Distance dxto dxsubject
Lens
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