ss Stuvia.comModern
Solutions Manual to Accompany - The Marketplace
ss ss to BuyEleventh
Control Systems, and Sell Edition,
your Study
ss ss by Richard C Dorf and Robert H.
ss ss ss ss ss ss ss ss ss ssss ss ss s s ss ss ss s s ss
Material Bishop. ss
ISBN-13: 9780132270298. © 2008 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.
This material is protected by Copyright and written permission should be obtained from the publisher prior to any prohibited reproduction,
ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss
storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying, recording, or likewise.
ss ss ss s s ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss
For information regarding permission(s), write to: Rights and Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss
, ss Stuvia.comModern
Solutions Manual to Accompany - The Marketplace
ss ss to BuyEleventh
Control Systems, and Sell Edition,
your Study
ss by Richard C Dorf and Robert H.
ss ss ss ss ss ss ss ss ss ss ssss ss ss s s ss ss ss s s ss
Material Bishop. ss
ISBN-13: 9780132270298. © 2008 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.
MODERN CONTROL SYSTEMS ss ss
ss SOLUTION MANUAL s s
Richard C. Dorf ss ss Robert H. Bishop ss ss
University of California, Davisss ss ss The University of Texas at Austin
ss ss ss ss ss
A companion to
ss ss
MODERN CONTROL SYSTEMS SS SS
ELEVENTH EDITION SS SS
Richard C. Dorf ss ss
ss Robert H. Bishop ss ss
Prentice Hall ss
Upper Saddle River, NJ 07458 ss ss ss ss
This material is protected by Copyright and written permission should be obtained from the publisher prior to any prohibited reproduction,
ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss
storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying, recording, or likewise.
ss ss ss s s ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss
For information regarding permission(s), write to: Rights and Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss
, Stuvia.comModern
Solutions Manual to Accompany - The Marketplace
ss to BuyEleventh
Control Systems, and Sell Edition,
your Study
by Richard C Dorf and Robert H.
ss ss ss ss ss ss ss ss ss ss ss ss ss ssss ss ss s s ss ss ss s s ss
Material Bishop. ss
ISBN-13: 9780132270298. © 2008 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.
c 2008 by Prentice-Hall, Inc.
ss ss ss ss
Upper Saddle River, New Jersey 07458
s s s s s s s s ss
All rights reserved. No part of this book may be reproduced, in any form or by any means, without
ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss
permission in writing from the publisher.
ss ss ss ss ss ss
The author and publisher of this book have used their best efforts in preparing
s s s s s s s s s s s s s s s s s s s s s s s s s s
this book. These efforts include the development, research, and testing of the theories and
s s s s s s ss ss ss ss ss ss ss ss ss ss ss
programs to determine their effectiveness. The author and publisher shall not be liable in any event
ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss
for incidental or consequential damages in connection with, or arising out of the furnishing,
ss ss ss ss ss ss ss ss ss ss ss ss ss ss
performance, or use of these programs.
ss ss ss ss ss ss
Camera-ready copy for this manual was prepared by the author using LATEX 2ε. ss ss ss ss ss ss ss ss ss ss ss ss
MATLAB is a registered trademark of The MathWorks, Inc.
ss ss ss ss ss ss ss ss ss
24 Prime Park Way, Natick, MA 01760-1520.
ss ss ss ss ss ss
Phone. (508) 653-1415, Fax: (508) 653-2997
ss ss ss ss ss
Email: s s
LabVIEW MathScript is a registered trademark of the National Instruments Corporation
ss ss ss ss ss ss ss ss ss ss
11500 N Mopac Expwy, Austin, TX 78759-3504
ss ss ss ss ss ss ss
Phone. (800) 531-5066, Fax: (512) 683-8411
ss ss ss ss ss
E-mail: s s
Printed in the United States of America
ss ss ss ss ss ss
10 9 8 7 6 5 4 3 2 1
ss ss ss ss ss ss ss ss ss ss
ISBN 0-13-227029-3 s s
Pearson Education Limited (UK) ss ss ss
Pearson Education Australia Pty Ltd
ss ss ss ss ss
Prentice Hall Canada Ltd
ss ss ss ss
Pearson Educacion de Mexico, S.A. de C.V. ss ss ss ss ss ss
Pearson Education Japan KK
ss ss ss ss
Pearson Education China Ltd ss ss ss
This material is protected by Copyright and written permission should be obtained from the publisher prior to any prohibited reproduction,
ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss
storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying, recording, or likewise.
ss ss ss s s ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss
For information regarding permission(s), write to: Rights and Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss
, ss Stuvia.comModern
Solutions Manual to Accompany - The Marketplace
ss ss to BuyEleventh
Control Systems, and Sell Edition,
your Study
by Richard C Dorf and Robert H.
ss ss ss ss ss ss ss ss ss ss ss ssss ss ss s s ss ss ss s s ss
Material Bishop. ss
ISBN-13: 9780132270298. © 2008 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.
P R E F A
C E
In each chapter, there are five problem types:
ss ss ss ss ss ss ss
Exercises ss
Problems
Advanced Problems ss
Design Problems/Continuous Design Problemss ss ss
s s Computer Problems ss
In total, there are over 850 problems. The abundance of problems of in-
ss ss ss ss ss ss ss ss ss ss ss ss
creasing complexity gives students confidence in their problem-solving
ss ss ss ss ss ss ss ss
ability as they work their way from the exercises to the design and
ss ss ss ss ss ss ss ss ss ss ss ss ss
computer-based problems.
ss ss
It is assumed that instructors (and students) have access to MATLAB,
ss ss ss ss ss ss ss ss ss ss
the Control System Toolbox or the LabVIEW and MathScript. All of
ss ss ss ss ss ss ss ss ss ss ss
the comptuer solutions in this Solution Manual were developed and
ss ss s s s s s s ss s s s s s s s s
sstested on a Window XP platform using MATLAB 7.3 Release 2006b and
s s ss ss ss ss ss ss ss ss ss ss
the Control System Toolbox Version 7.1 and LabVIEW 8.2. It is not
ss ss ss ss ss ss ss ss ss ss ss ss
possible to verify each solution on all the available computer platforms
ss ss ss ss ss ss ss ss ss ss ss
that are compatible with MATLAB and LabVIEW MathScript. Please
ss ss ss ss ss ss ss ss ss
forward any incompati- bilities you encounter with the scripts to Prof.
ss ss ss ss ss ss ss ss ss ss ss
Bishop at the email address given below.
ss ss ss ss ss ss ss
The authors and the staff at Prentice Hall would like to
s s s s s s s s s s s s s s s s s s s s
establish an open line of communication with the instructors using
s s s s ss ss ss ss ss ss ss ss
Modern Control Systems. We encourage you to contact Prentice Hall
ss ss ss ss ss ss ss ss ss ss
with comments and suggestions for this and future editions.
ss ss ss ss ss ss ss ss ss
Robert H. Bishop s s s s
iii
This material is protected by Copyright and written permission should be obtained from the publisher prior to any prohibited reproduction,
ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss
storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying, recording, or likewise.
ss ss ss s s ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss
For information regarding permission(s), write to: Rights and Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss
Solutions Manual to Accompany - The Marketplace
ss ss to BuyEleventh
Control Systems, and Sell Edition,
your Study
ss ss by Richard C Dorf and Robert H.
ss ss ss ss ss ss ss ss ss ssss ss ss s s ss ss ss s s ss
Material Bishop. ss
ISBN-13: 9780132270298. © 2008 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.
This material is protected by Copyright and written permission should be obtained from the publisher prior to any prohibited reproduction,
ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss
storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying, recording, or likewise.
ss ss ss s s ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss
For information regarding permission(s), write to: Rights and Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss
, ss Stuvia.comModern
Solutions Manual to Accompany - The Marketplace
ss ss to BuyEleventh
Control Systems, and Sell Edition,
your Study
ss by Richard C Dorf and Robert H.
ss ss ss ss ss ss ss ss ss ss ssss ss ss s s ss ss ss s s ss
Material Bishop. ss
ISBN-13: 9780132270298. © 2008 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.
MODERN CONTROL SYSTEMS ss ss
ss SOLUTION MANUAL s s
Richard C. Dorf ss ss Robert H. Bishop ss ss
University of California, Davisss ss ss The University of Texas at Austin
ss ss ss ss ss
A companion to
ss ss
MODERN CONTROL SYSTEMS SS SS
ELEVENTH EDITION SS SS
Richard C. Dorf ss ss
ss Robert H. Bishop ss ss
Prentice Hall ss
Upper Saddle River, NJ 07458 ss ss ss ss
This material is protected by Copyright and written permission should be obtained from the publisher prior to any prohibited reproduction,
ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss
storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying, recording, or likewise.
ss ss ss s s ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss
For information regarding permission(s), write to: Rights and Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss
, Stuvia.comModern
Solutions Manual to Accompany - The Marketplace
ss to BuyEleventh
Control Systems, and Sell Edition,
your Study
by Richard C Dorf and Robert H.
ss ss ss ss ss ss ss ss ss ss ss ss ss ssss ss ss s s ss ss ss s s ss
Material Bishop. ss
ISBN-13: 9780132270298. © 2008 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.
c 2008 by Prentice-Hall, Inc.
ss ss ss ss
Upper Saddle River, New Jersey 07458
s s s s s s s s ss
All rights reserved. No part of this book may be reproduced, in any form or by any means, without
ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss
permission in writing from the publisher.
ss ss ss ss ss ss
The author and publisher of this book have used their best efforts in preparing
s s s s s s s s s s s s s s s s s s s s s s s s s s
this book. These efforts include the development, research, and testing of the theories and
s s s s s s ss ss ss ss ss ss ss ss ss ss ss
programs to determine their effectiveness. The author and publisher shall not be liable in any event
ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss
for incidental or consequential damages in connection with, or arising out of the furnishing,
ss ss ss ss ss ss ss ss ss ss ss ss ss ss
performance, or use of these programs.
ss ss ss ss ss ss
Camera-ready copy for this manual was prepared by the author using LATEX 2ε. ss ss ss ss ss ss ss ss ss ss ss ss
MATLAB is a registered trademark of The MathWorks, Inc.
ss ss ss ss ss ss ss ss ss
24 Prime Park Way, Natick, MA 01760-1520.
ss ss ss ss ss ss
Phone. (508) 653-1415, Fax: (508) 653-2997
ss ss ss ss ss
Email: s s
LabVIEW MathScript is a registered trademark of the National Instruments Corporation
ss ss ss ss ss ss ss ss ss ss
11500 N Mopac Expwy, Austin, TX 78759-3504
ss ss ss ss ss ss ss
Phone. (800) 531-5066, Fax: (512) 683-8411
ss ss ss ss ss
E-mail: s s
Printed in the United States of America
ss ss ss ss ss ss
10 9 8 7 6 5 4 3 2 1
ss ss ss ss ss ss ss ss ss ss
ISBN 0-13-227029-3 s s
Pearson Education Limited (UK) ss ss ss
Pearson Education Australia Pty Ltd
ss ss ss ss ss
Prentice Hall Canada Ltd
ss ss ss ss
Pearson Educacion de Mexico, S.A. de C.V. ss ss ss ss ss ss
Pearson Education Japan KK
ss ss ss ss
Pearson Education China Ltd ss ss ss
This material is protected by Copyright and written permission should be obtained from the publisher prior to any prohibited reproduction,
ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss
storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying, recording, or likewise.
ss ss ss s s ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss
For information regarding permission(s), write to: Rights and Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss
, ss Stuvia.comModern
Solutions Manual to Accompany - The Marketplace
ss ss to BuyEleventh
Control Systems, and Sell Edition,
your Study
by Richard C Dorf and Robert H.
ss ss ss ss ss ss ss ss ss ss ss ssss ss ss s s ss ss ss s s ss
Material Bishop. ss
ISBN-13: 9780132270298. © 2008 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.
P R E F A
C E
In each chapter, there are five problem types:
ss ss ss ss ss ss ss
Exercises ss
Problems
Advanced Problems ss
Design Problems/Continuous Design Problemss ss ss
s s Computer Problems ss
In total, there are over 850 problems. The abundance of problems of in-
ss ss ss ss ss ss ss ss ss ss ss ss
creasing complexity gives students confidence in their problem-solving
ss ss ss ss ss ss ss ss
ability as they work their way from the exercises to the design and
ss ss ss ss ss ss ss ss ss ss ss ss ss
computer-based problems.
ss ss
It is assumed that instructors (and students) have access to MATLAB,
ss ss ss ss ss ss ss ss ss ss
the Control System Toolbox or the LabVIEW and MathScript. All of
ss ss ss ss ss ss ss ss ss ss ss
the comptuer solutions in this Solution Manual were developed and
ss ss s s s s s s ss s s s s s s s s
sstested on a Window XP platform using MATLAB 7.3 Release 2006b and
s s ss ss ss ss ss ss ss ss ss ss
the Control System Toolbox Version 7.1 and LabVIEW 8.2. It is not
ss ss ss ss ss ss ss ss ss ss ss ss
possible to verify each solution on all the available computer platforms
ss ss ss ss ss ss ss ss ss ss ss
that are compatible with MATLAB and LabVIEW MathScript. Please
ss ss ss ss ss ss ss ss ss
forward any incompati- bilities you encounter with the scripts to Prof.
ss ss ss ss ss ss ss ss ss ss ss
Bishop at the email address given below.
ss ss ss ss ss ss ss
The authors and the staff at Prentice Hall would like to
s s s s s s s s s s s s s s s s s s s s
establish an open line of communication with the instructors using
s s s s ss ss ss ss ss ss ss ss
Modern Control Systems. We encourage you to contact Prentice Hall
ss ss ss ss ss ss ss ss ss ss
with comments and suggestions for this and future editions.
ss ss ss ss ss ss ss ss ss
Robert H. Bishop s s s s
iii
This material is protected by Copyright and written permission should be obtained from the publisher prior to any prohibited reproduction,
ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss
storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying, recording, or likewise.
ss ss ss s s ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss
For information regarding permission(s), write to: Rights and Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss ss
