fuzzy system

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Fuzzy Systems: • • A static or dynamic system which makes use of fuzzy sets or fuzzy logic and of the corresponding mathematical framework is called a fuzzy system. system There are a number of ways fuzzy sets can be involved in a system, such as: 1. In the description of the system, 2. In the specification of the system’s parameters, 3. The input, output and state variables of a system may be fuzzy sets. Folie 2
1. • • In the description of the system: A system can be defined, for instance, as a collection of IF-THEN IF THEN rules with fuzzy predicates, or as a fuzzy relation. An example of a fuzzy rule describing the relationship between a heating power and the temperature trend in a room may be: If the heating power is high then the temperature will increase fast Folie 3
Page 1: Fakultät ETIT Institut für Automa
Page 5 and 6: 3. • • The input, output and st
Page 7 and 8: Fuzzy Systems • • • Fuzzy sys
Page 9 and 10: • • • • Fuzzy Systems Most
Page 11 and 12: • • • In fuzzy systems, the r
Page 13 and 14: • Mamdani (Linguistic) fuzzy mode
Page 15 and 16: • • • Fuzzy logic operators,
Page 17 and 18: Example Max-min composition X, Y, Z
Page 19 and 20: • • Takagi-Sugeno fuzzy model:
Page 21 and 22: 60 50 40 30 20 10 0 1.2 1 0.8 0.6 0
Page 23 and 24: Example R1: If X is small then Y =
Page 25 and 26: What defines the size of the rule-b
Page 27 and 28: • • • A set of rules in the c
Page 29 and 30: • • • • The antecedent form
Page 31 and 32: Fuzzification • • • The first
Page 33 and 34: Defuzzification • • • The res
Page 35 and 36: Types of defuzzifiers: 2. The Cente
Page 37 and 38: Types of defuzzifiers: There are se
Page 39 and 40: Fuzzy System (Overview) A fuzzy sys
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