Model Reduction for Control System Design

Modern methods of filter design and controller design often yield systems of very high order, posing a problem for their implementation. Over the past two decades or so, sophisticated methods have been developed to achieve simplification of filters and co

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Springer-Verlag London Ltd.

Published titles include: Nonlinear Control Systems (3rd edition) Alberto Isidori

Theory ofRobot Control C. Canudas de Wit, B. Siciliano and G. Bastin (Eds)

Fundamental Limitations in Filtering and Control Maria M. Seron, Julio Braslavsky and Graham C. Goodwin Constructive Nonlinear Control R. Sepulchre, M. Jankovic and P.V. Kokotovic

A Theory ofLearning and Generalization M. Vidyasagar

Adaptive Control I.D. Landau, R. Lozano and M.M'Saad

Stabilization ofNonlinear Uncertain Systems Miroslav Krstic and Hua Deng

Passivity-based Control ofEuler-Lagrange Systems Romeo Ortega, Antonio Loria, Per Johan Nicklasson and Hebertt Sira-Ramirez

Stability and Stabilization ofInfinite Dimensional Systems with Applications Zheng-Hua Luo, Bao-Zhu Guo and Omer Morgul

Nonsmooth Mechanics (2nd edition) Bernard Brogliato

Nonlinear Control Systems II Alberto Isidori

LrGain and Passivity Techniques in Nonlinear Control Arjan van der Schaft

Control ofLinear Systems with Regulation and Input Constraints Ali Saberi, Anton A. Stoorvogel and Peddapullaiah Sannuti

Robust and Hoo Control BenM. Chen

Computer Controlled Systems Efun N. Rosenwasser and Bernhard P. Lampe

Dissipative Systems Analysis and Control Rogelio Lozano, Bernard Brogliato, Olav Egeland and Bernhard Maschke

Control of Complex and Uncertain Systems Stanislav V. Emelyanov and Sergey K. Korovin

Goro Obinata and Brian D.O. Anderson

Model Reduction for Control System Design With 39 Figures

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Springer

Goro Obinata, PhD Dept. Mechanical Engineering, Faculty of Engineering and Resource Science, Akita University, 1-1 Tegatagakuen University, Akita City, 010-8502 Japan Brian D.O. Anderson, PhD Research School of Information Sciences and Engineering, Australian National University, Canberra ACT 0200, Australia

Series Editors E.D. Sontag • M. Thoma

ISSN 0178-5354 ISBN 978-1-4471-1078-1 DOI 10.1007/978-1-4471-0283-0

ISBN 978-1-4471-0283-0 (eBook)

British Library Cataloguing in Publication Data A catalog record for this book is available Crom the British Library Library ofCongress Cataloging-in-Publication Data Obinata, Goro, 1949Model reduction for control systems design / Goro Obinata and Brian 0.0. Anderson. p. cm. -- (Communications and control engineering. ISSN 0178-5354) ISBN 978-1-4471-1078-1 (alk. paper) 1. Automatic control 2. Control theory. 1. Anderson, Brian 0.0. II. Title. III. Series. TJ213 0152000 629.8--dc21 00-061254 Apart Crom any fair dealing for the purposes of research or private study, ar criticism or review, as permitted under the Copyright. Designs and Patents Act 1988, this publication may on1y be reproduced, stored ar transmitted, in any form ar by any means, with the prior permission in writing of the publishers, or in the case of reprographic reproduction in accordance with the terms of licences issued by the Copyright Licensing Agency. Enquiries conceming reproduction outside those terms shou1d be sent ta the publishers. © Springer-Verlag London 2001 Originally published by Springer-Verlag London Berlin Hei