Q3 Consider a Takagi-Sugeno type fuzzy system with two inputs and one output. The rules are given as follows: Rule 1: 1f X, is small and X, is low then y = 0.5X, +0.5X, Rule 2: if X, is small and X, is high then y = X, +0.5X, Rule 3: if X, is big and X, is low then y = X,+X, Rule 4: if X, as big and X, is high then y = 2X + X, The weight of rule is w(x,x)= 4(x)=xy(x). The fuzzy membership functions of the input variables are illustrated in Figure 03. LON out El ca! Figure Q3 (a) Use the weighted average method to compute the output of the controller for X = 65 and X2 = 20 (6 marks) (b) State the rationale why the weighted average method is applicable to compute the solution in Q4 (a). (2 marks) Q3 Consider a Takagi-Sugeno type fuzzy system with two inputs and one output. The rules are given as follows: Rule 1: 1f X, is small and X, is low then y = 0.5X, +0.5X, Rule 2: if X, is small and X, is high then y = X, +0.5X, Rule 3: if X, is big and X, is low then y = X,+X, Rule 4: if X, as big and X, is high then y = 2X + X, The weight of rule is w(x,x)= 4(x)=xy(x). The fuzzy membership functions of the input variables are illustrated in Figure 03. LON out El ca! Figure Q3 (a) Use the weighted average method to compute the output of the controller for X = 65 and X2 = 20 (6 marks) (b) State the rationale why the weighted average method is applicable to compute the solution in Q4 (a). (2 marks)