Question: For the system given below, it is desired to adjust the opening and closing of the valve by generating a control input u to

For the system given below, it is desired to adjust the opening and closing of the valve by generating a

For the system given below, it is desired to adjust the opening and closing of the valve by generating a control input u to adjust the height (level) to ho, when h is the actual height. The total height is 100 cm. Do the following: a) Define 5 fuzzy sets indicating the error in the height e= ho-h: Using Crisp set. Also draw the membership functions. Using Fuzzy set. Also draw the membership functions. b) Now define 5 fuzzy sets indicating the opening of output valve in % (hint: OPEN, OPEN, OPEN, OPEN, CLOSE): Using Crisp set. Also draw the membership functions. Using Fuzzy set. Also draw the membership functions. c) Write the IF-THEN rules to control the level of water by opening/closing the valve, and specify the rule(s) that will be applicable when the actual level of water in the tank is 58 cm, to get a desired level of 60cm. h

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