By KE LUO )KE WA XI QI ?(KE LUO )BO GE DAN HU YU LING DENG YI
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Extra info for Fuzzy Controller Design Theory and Applications
Sample text
1 Fuzzy Rule Table The most frequently used structure of a fuzzy controller is the double input–single output (DISO) structure. 11). Every rule in the fuzzy rule table is represented by an output fuzzy set engaged in the THEN part of the rule. The rule position within the fuzzy rule table is determined by coordinates of inputs fuzzy sets engaged in the IF part of the rule. Thus the fuzzy rule table provides straight insight into the essence of the fuzzy rule base and automatically eliminates the creation of contradictory fuzzy rules.
The nonlinear character of these functions allows the fuzzy logic controller to cope successfully with complex nonlinear control problems. 12). The organization of a fuzzy rule base is normally considered to be the most demanding step in the process of fuzzy controller design. When we consider the other parts of the fuzzy controller, we may say that they are only a service to the fuzzy rule base. Besides, the number of input fuzzy sets and the shape of their membership functions, the way how they are distributed along the universe of discourse and finally, the choice of a procedure for calculation of the fuzzy controller output have less influence on the fuzzy control algorithm than the rule base itself.
18), we need to calculate the membership functions of all triples (x, y, u) determined by the rules. As fuzzy sets T0 (x), T1 (x), V1 (u), and V2 (u) have seven elements, and set F1 (y) has five elements, we have to evaluate [(7 × 5) × 7] × 2 = 490 values for two rules. 2 shows only the first few inputs of the membership function for the first rule in the rule base. After calculating 245 values for the first rule, we must calculate another 245 values for the second rule. 18), a max operation finally gives a compositional output membership function µFR (x, y, u) with all 450 entries.