Fuzzy Controllers

نویسنده

  • LEONID REZNIK
چکیده

All rights reserved. No part of this publication may be reproduced in any material form (including photocopying or storing in any medium by electronic means and whether or not transiently or incidentally to some other use of this publication) without the written permission of the copyright holder except in accordance with the provisions of the Copyright, Designs and Patents Act 1988 or under the terms of a licence issued by the Copyright Licensing 1 Fuzzy sets, logic and control 3 1.1 Why do we need this new theory, what are the advantages of fuzzy control? 3 1.2 Where does fuzzy logic come from? 5 1.3 What are the main areas of fuzzy logic applications? 9 2 Basic mathematical concepts of fuzzy sets 19 2.1 Fuzzy sets versus crisp sets 19 2.2 Operations on fuzzy sets 30 2.3 Extension principle and fuzzy algebra 34 2.3.1 Extension principle 34 2.3.2 Fuzzy numbers 37 2.3.3 Arithmetic operations with intervals of confidence 38 2.3.4 Arithmetic operations with fuzzy numbers 41 2.4 Linguistic variables and hedges 44 2.5 Fuzzy relations 51 3 The structure and operation of a fuzzy controller 59 3.1 The reasons to apply fuzzy controllers 59 3.2 Fuzzy rules processing 61 3.2.1 Mamdani-type fuzzy processing 61 3.2.2 Linguistic variables 63 3.2.3 Fuzzy rules firing 65 3.2.4 Calculating the applicability degree 67 3.2.5 Clipping and scaling a fuzzy output 68

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تاریخ انتشار 2004