Stability Analysis and Robust Control of Time-Delay Systems
"Stability Analysis and Robust Control of Time-Delay Systems" focuses on essential aspects of this field, including the stability analysis, stabilization, control design, and filtering of various time-delay systems. Primarily based on the most recent rese
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Stability Analysis and Robust Control of Time-Delay Systems
Min Wu Yong He Jin-Hua She
Stability Analysis and Robust Control of Time-Delay Systems With 12 figures
Authors Min Wu School of Information Science & Engineering Central South University Changsha, Hunan, 410083, China Email: [email protected]
Yong He School of Information Science & Engineering Central South University Changsha, Hunan, 410083, China Email: [email protected]
Jin-Hua She School of Computer Science Tokyo University of Technology Email: [email protected]
ISBN 978-7-03-026005-5 Science Press Beijing ISBN 978-3-642-03036-9 e-ISBN 978-3-642-03037-6 Springer Heidelberg Dordrecht London New York Library of Congress Control Number: 2009942249 © Science Press Beijing and Springer-Verlag Berlin Heidelberg 2010 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, 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. Cover design: Frido Steinen-Broo, EStudio Calamar, Spain Printed on acid-free paper Springer is a part of Springer Science+Business Media (www.springer.com)
Preface
A system is said to have a delay when the rate of variation in the system state depends on past states. Such a system is called a time-delay system. Delays appear frequently in real-world engineering systems. They are often a source of instability and poor performance, and greatly increase the difficulty of stability analysis and control design. So, many researchers in the field of control theory and engineering study the robust control of time-delay systems. The study of such systems has been very active for the last 20 years; and new developments, such as fixed model transformations based on the NewtonLeibnitz formula and parameterized model transformations, are continually appearing. Although these methods are a great improvement over previous ones, they still have their limitations. We recently devised a method called the free-weighting-matrix (FWM) approach for the stability analysis and control synthesis of various classes of time-delay systems; and we obtained a series of not so conservative delaydependent stability criteria and controller design methods. This book is based primarily on our recent research. It focuses on the stability analysis and robust control of various time-delay systems, and includes such topics as stabili
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