Solution Manual for Modern Control Systems,
14th Global Edition By Richard C. Dorf
Chapters 1 - 13, Complete
,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
, 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
, 2 CHAPTER D1 D D Introduction D to DControl DSystems
current world-record is 236 ft). The fly lure is attached to a short
D D D D D D D D D D D D
Dinvisible leader about 15-ft long, which is in turn attached to a longer
D D D D D D D D D D D D
Dand thicker Dacron line. The objective is cast the fly lure to a distant
D D D D D D D D D D D D D
spot with dead- eye accuracy so that the thicker part of the line
D D D D D D D D D D D D D
Dtouches the water first and then the fly gently settles on the water just
D D D D D D D D D D D D D
Das an insect might.
D D D
Wind
Controller
Mind and Actual
of - body of the cast D positi
on D of
fly fly-fisher Dthe Dfly
Measurement
of
Visual indication
of the position of
the fly
E1.4 An autofocus camera control system:
D D D D
One-way Dtrip Dtime Dfor Dthe Dbeam
Conversion Dfactor
1 D (speed Dof Dlight
Dor
sound)
Emitter/
Distance Dto Dsubject
Lens
14th Global Edition By Richard C. Dorf
Chapters 1 - 13, Complete
,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
, 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
, 2 CHAPTER D1 D D Introduction D to DControl DSystems
current world-record is 236 ft). The fly lure is attached to a short
D D D D D D D D D D D D
Dinvisible leader about 15-ft long, which is in turn attached to a longer
D D D D D D D D D D D D
Dand thicker Dacron line. The objective is cast the fly lure to a distant
D D D D D D D D D D D D D
spot with dead- eye accuracy so that the thicker part of the line
D D D D D D D D D D D D D
Dtouches the water first and then the fly gently settles on the water just
D D D D D D D D D D D D D
Das an insect might.
D D D
Wind
Controller
Mind and Actual
of - body of the cast D positi
on D of
fly fly-fisher Dthe Dfly
Measurement
of
Visual indication
of the position of
the fly
E1.4 An autofocus camera control system:
D D D D
One-way Dtrip Dtime Dfor Dthe Dbeam
Conversion Dfactor
1 D (speed Dof Dlight
Dor
sound)
Emitter/
Distance Dto Dsubject
Lens
