Variable Structure Control of Complex Systems Analysis and Design
This book systematizes recent research work on variable-structure control. It is self-contained, presenting necessary mathematical preliminaries so that the theoretical developments can be easily understood by a broad readership. The text begins with an i
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Xing-Gang Yan Sarah K. Spurgeon Christopher Edwards
Variable Structure Control of Complex Systems Analysis and Design
Communications and Control Engineering Series editors Alberto Isidori, Roma, Italy Jan H. van Schuppen, Amsterdam, The Netherlands Eduardo D. Sontag, Piscataway, USA Miroslav Krstic, La Jolla, USA
More information about this series at http://www.springer.com/series/61
Xing-Gang Yan Sarah K. Spurgeon Christopher Edwards •
Variable Structure Control of Complex Systems Analysis and Design
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Xing-Gang Yan School of Engineering and Digital Arts University of Kent Canterbury, Kent UK
Christopher Edwards College of Engineering Mathematics and Physical Sciences University of Exeter Exeter UK
Sarah K. Spurgeon Department of Electronic and Electrical Engineering University College London London UK
ISSN 0178-5354 ISSN 2197-7119 (electronic) Communications and Control Engineering ISBN 978-3-319-48961-2 ISBN 978-3-319-48962-9 (eBook) DOI 10.1007/978-3-319-48962-9 Library of Congress Control Number: 2016955934 © Springer International Publishing AG 2017 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. 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. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
This book is dedicated to: Xing-Gang’s son Jiaxiao, wife Ru Su and parents with love and gratitude. Sarah’s husband Chris and Children Ben, Hannah and Matt with love and thanks for all their support. Chris’ Parents.
Preface
It is well known that linear dynamical systems cannot adequately describe many phenomena commonly observed in the real world. With the advancement of science and technology, practical systems are becoming more complex in order to complete more advanced tasks. With the increasing requirements for system performance, linear system theory based study cannot satisfy the practical requirements, and the mathematical equations us
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