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Modern control systems solution manual
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Modern control systems solution manual

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October 8, 2025
Number of pages
735
Written in
2025/2026
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Solution Manual for Modern Control Systems,
e e e e e




14th Global Edition By Richard C. Dorf
e e e e e e




Chapters 1 - 13, Complete
e e e e

,T A B L E - O F - C O N T E N T S
e e e e e e e e e e e e e e e e e e e e e e e e e e e e




1. Introduction to Control Systems ............................................................. 1
e e e




2. Mathematical Models of Systems ......................................................... 20
e e e




3. State Variable Models............................................................................ 79
e e




4. Feedback Control System Characteristics........................................... 126
e e e




5. The Performance of Feedback Control Systems............................... 166
e e e e e




6. The Stability of Linear Feedback Systems ...................................... 216
e e e e e




7. The Root Locus Method .................................................................... 257
e e e




8. Frequency Response Methods ............................................................. 359
e e




9. Stability in the Frequency Domain.................................................... 420
e e e e




10. The Design of Feedback Control Systems ........................................ 492
e e e e e




11. The Design of State Variable Feedback Systems ............................ 574
e e e e e e




12. Robust Control Systems ..................................................................... 633
e e




13. Digital Control Systems...................................................................... 691
e e

, C H A P T E R
e e e e e e e e e 1



Introduction to Control Systems e e e




There are, in general, no unique solutions to the following exercises and
e e e e e e e e e e e




problems. Other equally valid block diagrams may be submitted by the
e e e e e e e e e e e




student.
e




Exercises
E1.1 A microprocessor controlled laser system:
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Error Current i(t) e

Desired Power
epower - out
eoutput

Measured
e power




E1.2 A driver controlled cruise control system:
e e e e e




Controller

Foot pedal
Desired
e
Carand e
Actual
Driver
espeed - Engine
e
auto
espeed
Measurement



Speedometer
Visual indication of speed
e e




E1.3 e e Although the principle of conservation of momentum explains much of
e e e e e e e e e




the process of fly-casting, there does not exist a comprehensive scientific
e e e e e e e e e e e




explanation of how a fly-fisher uses the small backward and forward mo- tion
e e e e e e e e e e e e e




of the fly rod to cast an almost weightless fly lure long distances (the
e e e e e e e e e e e e e e




1

, 2 CHAPTER 1 e e e Introduction to Control Systems e e e




current world-record is 236 ft). The fly lure is attached to a short invisible
e e e e e e e e e e e e e




leader about 15-ft long, which is in turn attached to a longer and thicker
e e e e e e e e e e e e e e




Dacron line. The objective is cast the fly lure to a distant spot with dead- eye
e e e e e e e e e e e e e e e e




accuracy so that the thicker part of the line touches the water first and then
e e e e e e e e e e e e e e e




the fly gently settles on the water just as an insect might.
e e e e e e e e e e e e




Wind
Controller


Mind and e
Actual
of
e - body of the
e e e
e e cast e positio
n e of
fly fly-fisher
e
ethe efly




Measurement


e of
Visual eindication e
e ofethe eposition

eof e the efly




E1.4 An autofocus camera control system:
e e e e




One-way trip time for the beam
e e e e e




Conversionefactor
1
e
e (speed e of e light e or

sound)


Emitter/ Distance eto esubject




e




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