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Modern control engineering

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Modern control engineering

Modern Control Engineering Third EditionKatsuhiko OgataUniversity of MinnesotaPrentice Hall, Gpper Saddle River, New Jersey 07458Library of Congress C

Modern control engineering Cataloging-in-Publivation DataOgata. Katsuhiko.Modern control engineeringKatsuhiko Ogata. — 3rd cd.Pl cm.Includes bibliographical references and index

.ISBN: 0-13-227307-11. Automatic control. 2. Control theory. I.Title. TJ 213.02*1997629*—dc2096-2345CIPPublisher:Tom RobbinsAssociate editor: Alice Dw Modern control engineering

orkinProduction editor: Ann Marie LongobardoCover designer: Bruce Kenselaar Manufacturing Buyer: Donna Sullivan—©1997,1990.1970 by Prentice-Hall. Inc.

Modern control engineering

Simon & Schustcr/A Viacom Company •jrF Upper Saddle River. NJ 07458All rights reserved. No part of this book may be reproduced, in any form or by any

Modern Control Engineering Third EditionKatsuhiko OgataUniversity of MinnesotaPrentice Hall, Gpper Saddle River, New Jersey 07458Library of Congress C

Modern control engineering se efforts include the development, research and testing of the theories and programs to determine their effectiveness. The author and publisher make

no warranty of any kind, expressed or implied, with regard to these programs or the documentation contained in this book.The author and publisher shal Modern control engineering

l not be liable in any event for incidental or consequential damages in connection with, or arising out of. the furnishing, performance. or use of the

Modern control engineering

se programsPrinted in the United States of America10 9 8ISBN: Ũ-13-227307-1Prentice-Hall International (UK) Limited, London Prentice-Hall of Australia

Modern Control Engineering Third EditionKatsuhiko OgataUniversity of MinnesotaPrentice Hall, Gpper Saddle River, New Jersey 07458Library of Congress C

Modern control engineering entice-Hall of Japan, Inc., TokyoSimon & Schuster Asia Ltd.. SingaporeEditora Prentice-Hall do Brasil, Ltda., Rio de JaneiroMATLAB is a registered tra

demark of the Math Works, Inc.The Ma th Works. Inc.24 Prime Park Way Natick, MA 01760-1500 Phone: (508) 647-7000 Fax: (508) 647-7001 E-mail: infofitma Modern control engineering

thwork&com WWW: http://www.mathworks.comContentsPrefaceixChapter 1Introduction to Control Systems11-1 Introduction 1

Modern Control Engineering Third EditionKatsuhiko OgataUniversity of MinnesotaPrentice Hall, Gpper Saddle River, New Jersey 07458Library of Congress C

Modern Control Engineering Third EditionKatsuhiko OgataUniversity of MinnesotaPrentice Hall, Gpper Saddle River, New Jersey 07458Library of Congress C

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