Mixed-Integer Representations in Control Design Mathematical Foundat
In this book, the authors propose efficient characterizations of the non-convex regions that appear in many control problems, such as those involving collision/obstacle avoidance and, in a broader sense, in the description of feasible sets for optimizatio
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Ionela Prodan Florin Stoican Sorin Olaru Silviu-Iulian Niculescu
Mixed-Integer Representations in Control Design Mathematical Foundations and Applications 123
SpringerBriefs in Electrical and Computer Engineering Control, Automation and Robotics
Series editors Tamer Başar Antonio Bicchi Miroslav Krstic
More information about this series at http://www.springer.com/series/10198
Ionela Prodan Florin Stoican Sorin Olaru Silviu-Iulian Niculescu •
•
Mixed-Integer Representations in Control Design Mathematical Foundations and Applications
123
Ionela Prodan Laboratory of Conception and Integration of Systems Université Grenoble Alpes Valence France
Sorin Olaru Laboratory of Signals and Systems CentraleSupélec - CNRS - Université Paris-Sud, Université Paris-Saclay Gif-sur-Yvette France
Florin Stoican Department of Automatic Control and Systems Engineering Politehnica University of Bucharest Bucharest Romania
Silviu-Iulian Niculescu Laboratory of Signals and Systems CNRS - CentraleSupélec - Université Paris-Sud, Université Paris-Saclay Gif-sur-Yvette France
ISSN 2191-8112 ISSN 2191-8120 (electronic) SpringerBriefs in Electrical and Computer Engineering ISSN 2192-6786 ISSN 2192-6794 (electronic) SpringerBriefs in Control, Automation and Robotics ISBN 978-3-319-26993-1 ISBN 978-3-319-26995-5 (eBook) DOI 10.1007/978-3-319-26995-5 Library of Congress Control Number: 2015955893 © The Author(s) 2016 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 SpringerNature The registered company is Springer International Publishing AG Switzerland
Preface
“To be or not to be?” (Hamlet, Shakespeare, 1601)
While the scope of a book is to present the problem discussed as esoterically as possible we also have to acknowledge its roots in “real life.” This is the case here with “control problems with contradictory conditions” which are readily found in everyday life. They may not be stated so, but each time we balance between mut
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