Solution Manual for Modern Control Systems,
b b b b b
14th Global Edition By Richard C. Dorf
b b b b b b
Chapters 1 - 13, Complete
b b b b
,1. Introduction to Control Systems ............................................................. 1
b b b
2. Mathematical Models of Systems ......................................................... 20
b b b
3. State Variable Models............................................................................ 79
b b
4. Feedback Control System Characteristics........................................... 126
b b b
5. The Performance of Feedback Control Systems............................... 166
b b b b b
6. The Stability of Linear Feedback Systems ...................................... 216
b b b b b
7. The Root Locus Method .................................................................... 257
b b b
8. Frequency Response Methods ............................................................. 359
b b
9. Stability in the Frequency Domain ................................................... 420
b b b b
10. The Design of Feedback Control Systems........................................ 492
b b b b b
11. The Design of State Variable Feedback Systems ............................ 574
b b b b b b
12. Robust Control Systems ..................................................................... 633
b b
13. Digital Control Systems ..................................................................... 691
b b
,Introduction to Control Systems b b b
There are, in general, no unique solutions to the following exercises and
b b b b b b b b b b b
problems. Other equally valid block diagrams may be submitted by the
b b b b b b b b b b b
student.
b
Exercises
E1.1 A microprocessor controlled laser system:
b b b b
Error Current i(t) b
Desired Power
bpower - out
boutput
Measured
b power
E1.2 A driver controlled cruise control system:
b b b b b
Controller
Foot pedal
Desired
b
Car and b
Actual
Driver
bspeed - Engine
b
auto
bspeed
Measurement
Visual indication
b
Speedometer
E1.3 b bAlthough the principle of conservation of momentum explains much
b b b b b b b b
b of the process of fly-casting, there does not exist a comprehensive scientific
b b b b b b b b b b b
b explanation of how a fly-fisher uses the small backward and forward mo- tion
b b b b b b b b b b b b
b of the fly rod to cast an almost weightless fly lure long distances (the
b b b b b b b b b b b b b
1
, 2 CHAPTER 1 b b b Introduction to Control Systems b b b
current world-record is 236 ft). The fly lure is attached to a short invisible
b b b b b b b b b b b b b
leader about 15-ft long, which is in turn attached to a longer and thicker
b b b b b b b b b b b b b b
Dacron line. The objective is cast the fly lure to a distant spot with dead- eye
b b b b b b b b b b b b b b b b
accuracy so that the thicker part of the line touches the water first and then
b b b b b b b b b b b b b b b
the fly gently settles on the water just as an insect might.
b b b b b b b b b b b b
Wind
Controller
Mind and b
Actual
of
b - body of the
b b b
cast b positio
b b
n b of
fly fly-fisher
b
bthe bfly
Measurement
b of
Visual bindication b
b ofbthe bposition
bof b the bfly
E1.4 An autofocus camera control system:
b b b b
One-way trip time for the beam
b b b b b
Conversionbfactor
1
b
b (speed b of b light b or
sound)
Distance bto bsubject
Emitter/
b
Lens
b b b b b
14th Global Edition By Richard C. Dorf
b b b b b b
Chapters 1 - 13, Complete
b b b b
,1. Introduction to Control Systems ............................................................. 1
b b b
2. Mathematical Models of Systems ......................................................... 20
b b b
3. State Variable Models............................................................................ 79
b b
4. Feedback Control System Characteristics........................................... 126
b b b
5. The Performance of Feedback Control Systems............................... 166
b b b b b
6. The Stability of Linear Feedback Systems ...................................... 216
b b b b b
7. The Root Locus Method .................................................................... 257
b b b
8. Frequency Response Methods ............................................................. 359
b b
9. Stability in the Frequency Domain ................................................... 420
b b b b
10. The Design of Feedback Control Systems........................................ 492
b b b b b
11. The Design of State Variable Feedback Systems ............................ 574
b b b b b b
12. Robust Control Systems ..................................................................... 633
b b
13. Digital Control Systems ..................................................................... 691
b b
,Introduction to Control Systems b b b
There are, in general, no unique solutions to the following exercises and
b b b b b b b b b b b
problems. Other equally valid block diagrams may be submitted by the
b b b b b b b b b b b
student.
b
Exercises
E1.1 A microprocessor controlled laser system:
b b b b
Error Current i(t) b
Desired Power
bpower - out
boutput
Measured
b power
E1.2 A driver controlled cruise control system:
b b b b b
Controller
Foot pedal
Desired
b
Car and b
Actual
Driver
bspeed - Engine
b
auto
bspeed
Measurement
Visual indication
b
Speedometer
E1.3 b bAlthough the principle of conservation of momentum explains much
b b b b b b b b
b of the process of fly-casting, there does not exist a comprehensive scientific
b b b b b b b b b b b
b explanation of how a fly-fisher uses the small backward and forward mo- tion
b b b b b b b b b b b b
b of the fly rod to cast an almost weightless fly lure long distances (the
b b b b b b b b b b b b b
1
, 2 CHAPTER 1 b b b Introduction to Control Systems b b b
current world-record is 236 ft). The fly lure is attached to a short invisible
b b b b b b b b b b b b b
leader about 15-ft long, which is in turn attached to a longer and thicker
b b b b b b b b b b b b b b
Dacron line. The objective is cast the fly lure to a distant spot with dead- eye
b b b b b b b b b b b b b b b b
accuracy so that the thicker part of the line touches the water first and then
b b b b b b b b b b b b b b b
the fly gently settles on the water just as an insect might.
b b b b b b b b b b b b
Wind
Controller
Mind and b
Actual
of
b - body of the
b b b
cast b positio
b b
n b of
fly fly-fisher
b
bthe bfly
Measurement
b of
Visual bindication b
b ofbthe bposition
bof b the bfly
E1.4 An autofocus camera control system:
b b b b
One-way trip time for the beam
b b b b b
Conversionbfactor
1
b
b (speed b of b light b or
sound)
Distance bto bsubject
Emitter/
b
Lens
