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