SOLUTION
MANUAL
Apago PDF Enhancer
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, 1-17 Solutions to k k kk
Problems
Student companion website kk kk
Founded in 1807, John Wiley & Sons, Inc. has been a valued source of knowledge and
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understanding for more than 200 years, helping people around the world meet their needs and
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fulfill their aspirations. Our company is built on a foundation of principles that include
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responsibility to the communities we serve and where we live and work. In 2008, we launched a
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Corporate Citizenship Initiative, a global effort to address the environmental, social, economic,
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and ethical challenges we face in our business. Among the issues we are addressing are carbon
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impact, paper specifications and procurement, ethical conduct within our business and among
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our vendors, and community and charitable support. For more information, please visit our
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website: www.wiley.com/go/citizenship.
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No part of this publication may be reproduced, stored in a retrieval system or transmitted in any
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form or by any means, electronic, mechanical, photocopying recording, scanning or otherwise,
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except as permitted under Sections 107 or 108 of the 1976 United States Copyright Act, without
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either the
kk prior written permission of the Publisher or authorization through payment of the
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appropriate per- copy fee to the Copyright Clearance Center, 222 Rosewood Drive, Danvers, MA
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01923, (978) 750- 8400, fax (978) 646-8600. Requests to the Publisher for permission should be
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addressed to the Permissions Department, John Wiley & Sons, Inc., 111 River Street, Hoboken,
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NJ 07030-5774, (201) 748-6011, fax (201) 748-6008 or online at
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http://www.wiley.com/go/permissions.
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Evaluation copies are provided to qualified academics and professionals for review purposes
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only, for use in their courses during the next academic year. These copies are licensed and
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may not be sold or transferred to a third party. Upon completion of the review period, please
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return the evaluation copy to Wiley. Return instructions and a free of charge return shipping
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label are available at www.wiley.com/go/returnlabel. Outside of the United States, please
kk kk kk kk kk kk kk kk kk kk kk
contact your local
kk representative
kk kk k k
ISBN 13 kk 978-0470-54756-4
Copyright © kk k k k k 2011 by John Wiley & kk kk kk kk
Sons, Inc.
, O N E k k k k
Introduction
ANSWERS TO REVIEW QUESTIONS kk kk kk
1. Guided missiles, automatic gain control in radio receivers, satellite tracking antenna
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2. Yes - power gain, remote control, parameter conversion; No - Expense, complexity
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3. Motor, low pass filter, inertia supported between two bearings
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4. Closed-loop systems compensate for disturbances by measuring the response, comparing it
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to the input response (the desired output), and then correcting the output response.
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5. Under the condition that the feedback element is other than unity
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6. Actuating signal kk
7. Multiple subsystems can time share the controller. Any adjustments to the controller can
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be implemented with simply software changes.
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8. Stability, transient response, and steady-state error
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9. Steady-state, transient kk
10. It follows a growing transient response until the steady-state response is no longer visible.
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The system will either destroy itself, reach an equilibrium state because of saturation in
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kk driving amplifiers, or hit limit stops.
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11. Natural response kk
12. Determine the transient response performance of the system.
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13. Determine system parameters to meet the transient response specifications for the system.
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14. True
15. Transfer function, state-space, differential equations
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16. Transfer function - the Laplace transform of the differential equation
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State-space - representation of an nth order differential equation as n simultaneous first-order
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kk differential equations kk
Differential equation - Modeling a system with its differential equation
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SOLUTIONS TO PROBLEMS kk kk
50 volts kk
1. Five turns yields 50 v. Therefore K = = 1.59
5 x 2
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kk kk
k rad k
Copyright © kk k k k k 2011 by John Wiley & kk kk kk kk
Sons, Inc.
, 1-2 Chapter 1: kk
Introduction
2.
Desired Temperature Voltage Actual
Fuel
temperatur difference difference
kk
temperature
kk kk
flow
kk
kk
e
+ kk
Amplifier and
kk
kk
Thermostat Heater
valves
kk
-
3.
Desired Input Error Aileron Roll Roll
roll
kk voltag
kk voltag
kk positio
kk rat
kk angl
kk
angl
kk e e n e e
e +
control
s -
4.
Input
Speed
Desired voltag
kk
Actual
Error
kk Motor
speed e spee
kk
voltag
kk and
kk
kk
transducer Amplifier d
+ e drive
kk
system
- Dancer
Dancer
positio
kk
dynamic
kk
n
Voltage sensor s
proportiona
kk
l
to actual speed
kk kk
Copyright © kk k k k k 2011 by John Wiley &
kk kk kk kk
Sons, Inc.
MANUAL
Apago PDF Enhancer
kk kk
, 1-17 Solutions to k k kk
Problems
Student companion website kk kk
Founded in 1807, John Wiley & Sons, Inc. has been a valued source of knowledge and
kk kk kk kk kk kk kk kk kk kk kk kk kk kk kk
understanding for more than 200 years, helping people around the world meet their needs and
kk kk kk kk kk kk kk kk kk kk kk kk kk kk kk
fulfill their aspirations. Our company is built on a foundation of principles that include
kk kk kk kk kk kk kk kk kk kk kk kk kk kk
responsibility to the communities we serve and where we live and work. In 2008, we launched a
kk kk kk kk kk kk kk kk kk kk kk kk kk kk kk kk kk
Corporate Citizenship Initiative, a global effort to address the environmental, social, economic,
kk kk kk kk kk kk kk kk kk kk kk kk
and ethical challenges we face in our business. Among the issues we are addressing are carbon
kk kk kk kk kk kk kk kk kk kk kk kk kk kk kk kk
impact, paper specifications and procurement, ethical conduct within our business and among
kk kk kk kk kk kk kk kk kk kk kk kk
our vendors, and community and charitable support. For more information, please visit our
kk kk kk kk kk kk kk kk kk kk kk kk kk
website: www.wiley.com/go/citizenship.
kk k k
No part of this publication may be reproduced, stored in a retrieval system or transmitted in any
kk kk kk kk kk kk kk kk kk kk kk kk kk kk kk kk
form or by any means, electronic, mechanical, photocopying recording, scanning or otherwise,
kk kk kk kk kk kk kk kk kk kk kk kk
except as permitted under Sections 107 or 108 of the 1976 United States Copyright Act, without
kk kk kk kk kk kk kk kk kk kk kk kk kk kk kk kk
either the
kk prior written permission of the Publisher or authorization through payment of the
kk k k kk kk kk kk kk kk kk kk kk kk kk
appropriate per- copy fee to the Copyright Clearance Center, 222 Rosewood Drive, Danvers, MA
kk kk kk kk kk kk kk kk kk kk kk kk kk kk
01923, (978) 750- 8400, fax (978) 646-8600. Requests to the Publisher for permission should be
kk kk kk k k kk kk kk kk kk kk kk kk kk kk kk
addressed to the Permissions Department, John Wiley & Sons, Inc., 111 River Street, Hoboken,
kk kk kk kk kk kk kk kk kk kk kk kk kk kk
NJ 07030-5774, (201) 748-6011, fax (201) 748-6008 or online at
kk k k kk kk k k k k k k k k k k k k
http://www.wiley.com/go/permissions.
k k
Evaluation copies are provided to qualified academics and professionals for review purposes
kk kk kk kk kk kk kk kk kk kk kk
only, for use in their courses during the next academic year. These copies are licensed and
kk kk kk kk kk kk kk kk kk kk kk k k kk kk kk kk
may not be sold or transferred to a third party. Upon completion of the review period, please
kk kk kk kk kk kk kk kk kk kk kk kk kk kk kk kk kk
return the evaluation copy to Wiley. Return instructions and a free of charge return shipping
kk kk kk kk kk kk k k kk kk kk kk kk kk kk kk
label are available at www.wiley.com/go/returnlabel. Outside of the United States, please
kk kk kk kk kk kk kk kk kk kk kk
contact your local
kk representative
kk kk k k
ISBN 13 kk 978-0470-54756-4
Copyright © kk k k k k 2011 by John Wiley & kk kk kk kk
Sons, Inc.
, O N E k k k k
Introduction
ANSWERS TO REVIEW QUESTIONS kk kk kk
1. Guided missiles, automatic gain control in radio receivers, satellite tracking antenna
kk kk kk kk kk kk kk kk kk kk
2. Yes - power gain, remote control, parameter conversion; No - Expense, complexity
kk kk kk kk kk kk kk kk kk kk kk
3. Motor, low pass filter, inertia supported between two bearings
kk kk kk kk kk kk kk kk
4. Closed-loop systems compensate for disturbances by measuring the response, comparing it
kk kk kk kk kk kk kk kk kk kk
to the input response (the desired output), and then correcting the output response.
kk kk kk kk kk kk kk kk kk kk kk kk kk
5. Under the condition that the feedback element is other than unity
kk kk kk kk kk kk kk kk kk kk
6. Actuating signal kk
7. Multiple subsystems can time share the controller. Any adjustments to the controller can
kk kk kk kk kk kk kk kk kk kk kk kk
be implemented with simply software changes.
kk kk kk kk kk kk
8. Stability, transient response, and steady-state error
kk kk kk kk kk
9. Steady-state, transient kk
10. It follows a growing transient response until the steady-state response is no longer visible.
kk kk kk kk kk kk kk kk kk kk kk kk kk
The system will either destroy itself, reach an equilibrium state because of saturation in
kk kk kk kk kk kk kk kk kk kk kk kk kk kk
kk driving amplifiers, or hit limit stops.
kk kk kk kk kk
11. Natural response kk
12. Determine the transient response performance of the system.
kk kk kk kk kk kk kk
13. Determine system parameters to meet the transient response specifications for the system.
kk kk kk kk kk kk kk kk kk kk kk
14. True
15. Transfer function, state-space, differential equations
kk kk kk kk
16. Transfer function - the Laplace transform of the differential equation
kk kk kk kk kk kk kk kk kk
State-space - representation of an nth order differential equation as n simultaneous first-order
kk kk kk kk kk kk kk kk kk kk kk kk
kk differential equations kk
Differential equation - Modeling a system with its differential equation
kk kk kk kk kk kk kk kk kk
SOLUTIONS TO PROBLEMS kk kk
50 volts kk
1. Five turns yields 50 v. Therefore K = = 1.59
5 x 2
kk kk kk kk kk kk kk kk
kk kk
k rad k
Copyright © kk k k k k 2011 by John Wiley & kk kk kk kk
Sons, Inc.
, 1-2 Chapter 1: kk
Introduction
2.
Desired Temperature Voltage Actual
Fuel
temperatur difference difference
kk
temperature
kk kk
flow
kk
kk
e
+ kk
Amplifier and
kk
kk
Thermostat Heater
valves
kk
-
3.
Desired Input Error Aileron Roll Roll
roll
kk voltag
kk voltag
kk positio
kk rat
kk angl
kk
angl
kk e e n e e
e +
control
s -
4.
Input
Speed
Desired voltag
kk
Actual
Error
kk Motor
speed e spee
kk
voltag
kk and
kk
kk
transducer Amplifier d
+ e drive
kk
system
- Dancer
Dancer
positio
kk
dynamic
kk
n
Voltage sensor s
proportiona
kk
l
to actual speed
kk kk
Copyright © kk k k k k 2011 by John Wiley &
kk kk kk kk
Sons, Inc.
