Table of Contents

FOREWORD
INTRODUCTION
1 Scope and object
2 Normative references
3 Definitions
4 Integration into the programmable controller
5 Fuzzy Control Language FCL
      5.1 Exchange of fuzzy control programs
      5.2 Fuzzy Control Language elements
      5.3 FCL example
      5.4 Production rules and keywords of the Fuzzy
             Control Language (FCL)
6 Compliance
      6.1 Conformance classes of Fuzzy Control Language
             FCL
      6.2 Data check list
Annex A (informative) Theory
      A.1 - Fuzzy Logic
      A.2 - Fuzzy Control
      A.3 - Performance of Fuzzy control
Annex B (informative) Examples
      B.1 - Pre-control
      B.2 - Parameter adaptation of conventional PID
            controllers
      B.3 - Direct fuzzy control of a process
Annex C (informative) Industrial example - Container crane
Annex D (informative) Example for using variables in the
                      rule block
Annex E (informative) Symbols, abbreviations and synonyms
Figure 1 - Example of a fuzzy control Function Block in FBD
           representation
Figure 2 - Data exchange of Programs in Fuzzy Control
           Language (FCL)
Figure 3 - Example of a Function Block interface declaration
           in ST and FBD languages
Figure 4 - Example of ramp terms
Figure 5 - Example of usage of variables for membership
           functions
Figure 6 - Example of singleton terms
Figure 7 - Example for fuzzy function block
Figure 8 - Levels of conformance
Figure A.1 - Membership functions of the terms 'full legal
             age' and 'adult'
Figure A.2 - Description of the linguistic variable 'Age' by
             linguistic terms and their hierarchy on the time
             scale (age in years)
Figure A.3 - Commonly used shapes of membership functions
Figure A.4 - Algorithms for implementing operations between
             two membership functions
Figure A.5 - Structure and functional elements of fuzzy
             control
Figure A.6 - The principle of fuzzification (as an example)
Figure A.7 - Representation of the knowledge base in
             linguistic form
Figure A.8 - Matrix representation of two variables
Figure A.9 - Elements of inference
Figure A.10a - An example showing the principles of
               aggregation
Figure A.10b - The principles of activation (as an example)
Figure A.10c - The principles of accumulation (as an example)
Figure A.11a - Methods of defuzzification
Figure A.11b - Difference between Left Most Maximum and Right
               Most Maximum
Figure A.11c - Difference between Center of Area and Center
               of Gravity
Figure A.11d - Methods of defuzzification
Figure A.12 - Examples of Fuzzy Control Language
              characteristic curves
Figure A.13a - Fuzzy-based controller: Fundamental structure
Figure A.13b - Example of a Fuzzy-based controller
Figure B.1 - Example of a pre-control
Figure B.2 - Example of a parameter adaptation
Figure B.3 - Example of a direct fuzzy control
Figure C.1 - Industrial example - Container crane
Figure C.2 - Linguistic variable 'Distance' between crane
             head and target position
Figure C.3 - Linguistic variable 'Angle' of the container to
             the crane head
Figure C.4 - Linguistic variable 'Power'
Figure C.5 - Rule base
Figure C.6 - Fuzzification of the linguistic variable
             'distance'
Figure C.7 - Fuzzification of the linguistic variable 'angle'
Figure C.8 - Subset of three rules
Figure C.9 - Elements of aggregation
Figure C.10 - Principles of aggregation
Figure C.11 - Elements of activation
Figure C.12 - Principles of activation
Figure C.13 - Elements of accumulation
Figure C.14 - Principles of accumulation
Figure C.15 - Defuzzification
Figure C.16 - Example in SCL
Figure D.1 - Principle of the controlled system
Figure D.2 - Principle of the fuzzy based control of the oven
Figure D.3 - Rule block
Figure D.4 - Example in FCL
Table 1 - Defuzzification methods
Table 2 - Formulae for defuzzification methods
Table 3 - Paired algorithms
Table 4 - Activation methods
Table 5 - Accumulation methods
Table 6 - Priority of operators
Table 7 - Reserved keywords for FCL
Table 8 - FCL Basic Level language elements (mandatory)
Table 9 - FCL Extension Level language elements (optional)
Table 10 - Examples of a list with Open Level language
           elements
Table 11 - Data check list
Table A.1 - Inference steps and commonly used algorithms
Table C.2 - Inference steps and assigned operator
Table E.1 - Symbols and abbreviations
Table E.2 - Synonyms

Abstract

Specifies a language for the programming of Fuzzy Control applications used by programmable controllers. It offers the manufacturers and users a well-defined common understanding of the basic means to integrate fuzzy control applications in the Programmable Controller languages in accordance with IEC 61131-3, along with the possibility to exchange portable fuzzy control programs among different programming systems.

General Product Information

Published
Document Type	Standard
Status	Current
Publisher	International Electrotechnical Committee
Pages
ISBN
Committee	TC 65B