S-Variable Approach to LMI-Based Robust Control
This book shows how the use of S-variables (SVs) in enhancing the range of problems that can be addressed with the already-versatile linear matrix inequality (LMI) approach to control can, in many cases, be put on a more unified, methodical footing. Begin
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Yoshio Ebihara Dimitri Peaucelle Denis Arzelier
S-Variable Approach to LMI-Based Robust Control
Communications and Control Engineering Series editors Alberto Isidori, Roma, Italy Jan H. van Schuppen, Amsterdam, The Netherlands Eduardo D. Sontag, Piscataway, USA Manfred Thoma, Hannover, Germany Miroslav Krstic, La Jolla, USA
More information about this series at http://www.springer.com/series/61
Yoshio Ebihara Dimitri Peaucelle Denis Arzelier •
S-Variable Approach to LMI-Based Robust Control
123
Yoshio Ebihara Department of Electrical Engineering Kyoto University Kyoto Japan
ISSN 0178-5354 ISBN 978-1-4471-6605-4 DOI 10.1007/978-1-4471-6606-1
Dimitri Peaucelle Denis Arzelier Laboratory for Analysis and Architecture of Systems Science National Centre for Scientific Research Toulouse France
ISSN 2197-7119 (electronic) ISBN 978-1-4471-6606-1 (eBook)
Library of Congress Control Number: 2014948741 Springer London Heidelberg New York Dordrecht © Springer-Verlag London 2015 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Preface
At the end of 1990s, we discovered with enthusiasm the publication by Mauricio C. de Oliveira, Jacques Bernussou, and José C. Geromel concerning a “New DiscreteTime Stability Condition.” Since then, we have dedicated most of our att
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