SOLUTION MANUAL
All Chapters Included
, Table of Content
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
,Chapter 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:
Controller Process
Error Current i(t)
Desired Micro- Power
Laser
power - processor out
output
Measurement
Measured
Power
power
Sensor
E1.2 A driver controlled cruise control system:
Controller Process
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 1 Introduction to Control Systems
current world-record is 236 ft). The fly lure is attached to a short
invisible leader about 15-ft long, which is in turn attached to a longer
and thicker Dacron line. The objective is cast the fly lure to a distant
spot with dead- eye accuracy so that the thicker part of the line
touches the water first and then the fly gently settles on the water just
as an insect might.
Wind
Fly-fisher Controller
disturbance
Process
Desired Mind and Rod, line, Actual
position of
the fly
- body of the
fly-fisher
and cast position
of the fly
Measurement
Vision of
Visual indication
of the position of
the fly-fisher
the fly
E1.4 An autofocus camera control system:
One-way trip time for the beam
Conversionfactor
K1 (speed of light or
sound)
Beam
Emitter/ Distance to subject
Receiver
Beam return Subject
Lens focusing
motor
Lens
All Chapters Included
, Table of Content
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
,Chapter 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:
Controller Process
Error Current i(t)
Desired Micro- Power
Laser
power - processor out
output
Measurement
Measured
Power
power
Sensor
E1.2 A driver controlled cruise control system:
Controller Process
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 1 Introduction to Control Systems
current world-record is 236 ft). The fly lure is attached to a short
invisible leader about 15-ft long, which is in turn attached to a longer
and thicker Dacron line. The objective is cast the fly lure to a distant
spot with dead- eye accuracy so that the thicker part of the line
touches the water first and then the fly gently settles on the water just
as an insect might.
Wind
Fly-fisher Controller
disturbance
Process
Desired Mind and Rod, line, Actual
position of
the fly
- body of the
fly-fisher
and cast position
of the fly
Measurement
Vision of
Visual indication
of the position of
the fly-fisher
the fly
E1.4 An autofocus camera control system:
One-way trip time for the beam
Conversionfactor
K1 (speed of light or
sound)
Beam
Emitter/ Distance to subject
Receiver
Beam return Subject
Lens focusing
motor
Lens
