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Figure 8.6: The fuzzy set representation for “small integers.”. Figure 8.7 A fuzzy set representation for the sets short, median, and tall males. Figure 8.8: The inverted pendulum and the angle and d /dt input values.
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Figure 8.6: The fuzzy set representation for “small integers.” Figure 8.7 A fuzzy set representation for the sets short, median, and tall males.
Figure 8.8: The inverted pendulum and the angle and d/dt input values.
Figure 8.9: The fuzzy regions for the input values (a) and d/dt (b). Figure 8.10 The fuzzy regions of the output value u, indicating the movement of the pendulum base.
Figure 8.11: The fuzzification of the input measures x1=1, x2 = -4.
Figure 8.12: The Fuzzy Associative Matrix (FAM) for the pendulum problem. The input values are on the left and top.
The fuzzy consequents(a) and their union (b). The centroid of the union (-2) is the crisp output.
Minimum of their measures is taken as the measure of the rule result: