Sliding Mode Control The Delta-Sigma Modulation Approach

This monograph presents a novel method of sliding mode control for switch-regulated nonlinear systems. The Delta Sigma modulation approach allows one to implement a continuous control scheme using one or multiple, independent switches, thus effectively me

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Hebertt Sira-Ramírez

Sliding Mode Control The Delta-Sigma Modulation Approach

Control Engineering Series Editor William S. Levine Department of Electrical and Computer Engineering University of Maryland College Park, MD USA Editorial Advisory Board Richard Braatz Massachusetts Institute of Technology Cambridge, MA USA

Mark Spong University of Texas at Dallas Dallas, TX USA

Graham Goodwin University of Newcastle Australia

Maarten Steinbuch Technische Universiteit Eindhoven Eindhoven, The Netherlands

Davor Hrovat Ford Motor Company Dearborn, MI USA

Mathukumalli Vidyasagar University of Texas at Dallas Dallas, TX USA

Zongli Lin University of Virginia Charlottesville, VA USA

Yutaka Yamamoto Kyoto University Kyoto, Japan

More information about this series at http://www.springer.com/series/4988

Hebertt Sira-Ram´ırez

Sliding Mode Control The Delta-Sigma Modulation Approach

Hebertt Sira-Ram´ırez Departamento de Ingenier´ıa El´ectrica Secci´on de Mecatr´onica Cinvestav-IPN, Mexico, DF, Mexico

ISSN 2373-7719 ISSN 2373-7727 (electronic) Control Engineering ISBN 978-3-319-17256-9 ISBN 978-3-319-17257-6 (eBook) DOI 10.1007/978-3-319-17257-6 Library of Congress Control Number: 2015937420 Mathematics Subject Classification (2010): 93B12 Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 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. 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 Springer International Publishing AG Switzerland is part of Springer Science+Business Media (www. springer.com)

To the memory of my beloved mother, Ilia Aurora Ram´ırez Espinel, to Mar´ıa Elena Gozaine Mendoza, with love and gratitude.

Preface

Sliding mode control is a well-known discontinuous feedback control technique, which has been extensively explored in several books and many journal articles by diverse authors. The technique is naturally suited for the regulation of switched controlled systems, such as power electronics devices, and a nonempty class of