LMI Approach to Analysis and Control of Takagi-Sugeno Fuzzy Systems with Time Delay
SinceinitiatedbyLot?A. Zadehin1965,fuzzysettheoryhastriggeredacons- erably large body of areas to blossom. A fuzzy system is, in a very broad sense, anyfuzzylogic-basedsystemwherefuzzylogiccanbeusedeither asthebasisfor the representation of di?erent forms
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Chong Lin, Qing-Guo Wang, Tong Heng Lee, Yong He
LMI Approach to Analysis and Control of Takagi-Sugeno Fuzzy Systems with Time Delay
ABC
Series Advisory Board F. Allgöwer, P. Fleming, P. Kokotovic, A.B. Kurzhanski, H. Kwakernaak, A. Rantzer, J.N. Tsitsiklis
Authors Chong Lin
Yong He School of Information Science and Engineering Central South University Changsha 410083, China Email: [email protected]
Institute of Complexity Science Qingdao University Qingdao 266071, China Email: [email protected]
Qing-Guo Wang Tong Heng Lee Department of Electrical and Computer Engineering National University of Singapore 10 Kent Ridge Crescent Singapore 119260 Email: [email protected]
Library of Congress Control Number: 2006937682 ISSN print edition: 0170-8643 ISSN electronic edition: 1610-7411 ISBN-10 3-540-49552-5 Springer Berlin Heidelberg New York ISBN-13 978-3-540-49552-9 Springer Berlin Heidelberg New York 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. Violations are liable for prosecution under the German Copyright Law. Springer is a part of Springer Science+Business Media springer.com c Springer-Verlag Berlin Heidelberg 2007 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. Typesetting: by the authors and SPS using a Springer LATEX macro package Printed on acid-free paper
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Preface
Since initiated by Lotfi A. Zadeh in 1965, fuzzy set theory has triggered a considerably large body of areas to blossom. A fuzzy system is, in a very broad sense, any fuzzy logic-based system where fuzzy logic can be used either as the basis for the representation of different forms of system knowledge or the model for the interactions and relationships among the system variables. Fuzzy systems have proven to be an important tool for modeling complex systems for which, due to complexity or imprecision, classical tools are unsuccessful. There have been diverse fields of applications of fuzzy technology from medicine to management, from engineering to behavioral science, from vehicle control to computational linguistics, and so on. Fuzzy modeling is a conjunction to understand the system’s behavior and build useful mathematical models. Different types of fuzzy models have been proposed in the literature, among which the Takagi-Sugeno (T-S) fuzzy model is a rule-based one suitable for the accurate approximation and identifi
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