Foundations of Generic Optimization Volume 2: Applications of Fuzzy

This is a comprehensive overview of the basics of fuzzy control, which also brings together some recent research results in soft computing, in particular fuzzy logic using genetic algorithms and neural networks. This book offers researchers not only a sol

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MATHEMATICAL MODELLING: Theory and Applications VOLUME 24 This series is aimed at publishing work dealing with the definition, development and application of fundamental theory and methodology, computational and algorithmic implementations and comprehensive empirical studies in mathematical modelling. Work on new mathematics inspired by the construction of mathematical models, combining theory and experiment and furthering the understanding of the systems being modelled are particularly welcomed. Manuscripts to be considered for publication lie within the following, nonexhaustive list of areas: mathematical modelling in engineering, industrial mathematics, control theory, operations research, decision theory, economic modelling, mathematical programming, mathematical system theory, geophysical sciences, climate modelling, environmental processes, mathematical modelling in psychology, political science, sociology and behavioural sciences, mathematical biology, mathematical ecology, image processing, computer vision, artificial intelligence, fuzzy systems, and approximate reasoning, genetic algorithms, neural networks, expert systems, pattern recognition, clustering, chaos and fractals. Original monographs, comprehensive surveys as well as edited collections will be considered for publication. Managing Editor: R. Lowen (Antwerp, Belgium)

Series Editors: R. Laubenbacher (Virginia Bioinformatics Institute, Virginia Tech, USA) A. Stevens (Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany)

The titles published in this series are listed at the end of this volume.

Foundations of Generic Optimization Volume 2: Applications of Fuzzy Control, Genetic Algorithms and Neural Networks

Edited by

R. Lowen University of Antwerp, Belgium and

A. Verschoren University of Antwerp, Belgium

Robert Lowen University of Antwerp Belgium

ISBN: 978-1-4020-6667-2

Alain Verschoren University of Antwerp Belgium

e-ISBN: 978-1-4020-6668-9

All Rights Reserved c 2008 Springer  No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work.

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Contents

An Overview of Fuzzy Control Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . W. Peeters 1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.1 History . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.2 Structure of a Fuzzy Controller . . . . . . . . . . . . . . . . . . . . . . . . . . 1.3 Fuzzy Modelling Requirements . . . . . . . . . . . . . . . . . . . . . . . . . 1.4 The Fuzzy Controller Block . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1