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print.tex, v1.27 2008/01/25 21:53:54 (murray)
Feedback Systems
print.tex, v1.27 2008/01/25 21:53:54 (murray)
print.tex, v1.27 2008/01/25 21:53:54 (murray)
Feedback Systems
An Introduction for Scientists and Engineers
Karl Johan
˚
Aström
Richard M. Murray
PRINCETON UNIVERSITY PRESS
PRINCETON AND OXFORD
print.tex, v1.27 2008/01/25 21:53:54 (murray)
Copyright ©2008 by Princeton University Press
Published by Princeton University Press
41 William Street, Princeton, New Jersey 08540
In the United Kingdom: Princeton University Press
6 Oxford Street, Woodstock, Oxfordshire OX20 1TW
All Rights Reserved
Library of Congress Cataloging-in-Publication Data
Åström, Karl J. (Karl Johan), 1934-
Feedback systems : an introduction for scientists and engineers / Karl Johan
Åström and Richard M. Murray
p. cm.
Includes bibliographical references and index.
ISBN-13: 978-0-691-13576-2 (alk. paper)
ISBN-10: 0-691-13576-2 (alk. paper)
1. Feedback control systems. I. Murray, Richard M., 1963-. II. Title.
TJ216.A78 2008
629.8
3–dc22 2007061033
British Library Cataloging-in-Publication Data is available
This book has been composed in L
A
T
E
X
The publisher would like to acknowledge the authors of this volume for providing
the camera-ready copy from which this book was printed.
Printed on acid-free paper. ∞
press.princeton.edu
Printed in the United States of America
10987654321
Frontmatter.tex, v1.80 2008/01/30 07:21:04 (murray)
Contents
Preface ix
Chapter 1. Introduction
1
1.1 What Is Feedback? 1
1.2 What Is Control? 3
1.3 Feedback Examples 5
1.4 Feedback Properties 17
1.5 Simple Forms of Feedback 23
1.6 Further Reading 25
Exercises 25
Chapter 2. System Modeling 27
2.1 Modeling Concepts 27
2.2 State Space Models 34
2.3 Modeling Methodology 44
2.4 Modeling Examples 51
2.5 Further Reading 61
Exercises 61
Chapter 3. Examples 65
3.1 Cruise Control 65
3.2 Bicycle Dynamics 69
3.3 Operational Amplifier Circuits 71
3.4 Computing Systems and Networks 75
3.5 Atomic Force Microscopy 81
3.6 Drug Administration 84
3.7 Population Dynamics 89
Exercises 91
Chapter 4. Dynamic Behavior 95
4.1 Solving Differential Equations 95
4.2 Qualitative Analysis 98
4.3 Stability 102
4.4 Lyapunov Stability Analysis 110
4.5 Parametric and Nonlocal Behavior 120
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