Switched Time-Delay Systems Stability and Control
Switched Time-Delay Systems presents an introductory, yet comprehensive, treatment of switched time-delay systems by jointly combining two fundamental attributes: the system dynamics possesses an inherent time-delay and the system operational mode undergo
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Magdi S. Mahmoud
Switched Time-Delay Systems Stability and Control
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Magdi S. Mahmoud Department of Systems Engineering King Fahd University of Petroleum and Minerals (KFUPM) 31261 Dhahran Saudi Arabia [email protected]
ISBN 978-1-4419-6393-2 e-ISBN 978-1-4419-6394-9 DOI 10.1007/978-1-4419-6394-9 Springer New York Dordrecht Heidelberg London Library of Congress Control Number: 2010929741 c Springer Science+Business Media, LLC 2010 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
In the Name of
the All-Compassionate, the All-Merciful “My Lord! Enhance me in knowledge”
To the Memory of My Parents (Source of My Big Dreams) To My Family: Salwa, Medhat, Monda, Mohamed (For Their Love and Gratitude) To My Grandchildren: Malak, Mostafa (Representative of New Generations) MsM Dhahran, Saudi Arabia, 2009
Preface
In many practical applications we deal with a wide class of dynamical systems that are comprised of a family of continuous-time or discrete-time subsystems and a rule orchestrating the switching between the subsystems. This class of systems is frequently called switched system. Switched linear systems provide a framework that bridges the linear systems and the complex and/or uncertain systems. The motivation for investigating this class of systems is twofold: first, it has an inherent multi-modal behavior in the sense that several dynamical subsystems are required to describe their behavior, which might depend on various environmental factors. Second, the methods of intelligent control systems are based on the idea of switching between different controllers. Looked at in this light, switched systems provide an integral framework to deal with complex system behaviors such as chaos and multiple limit cycles and gain more insights into powerful tools such as intelligent control, adaptive control, and robust control. Switched systems have been investigated for a long time in the control and systems literature and have increasingly attracted more attention for the past three decades. The number of journal articles, books, and conference papers have grown exponentially and a number of fundamental concepts and powerful tools have been developed. It has been pointed out that switched systems have been studied from various viewpoints. One
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