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I need to do all the lab parts and I need the solutions be Word file please including the lab report. Thanks Document Preview: Control System (Introduction to Fuzzy Control) LAB 1: Triangular...

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I need to do all the lab parts and I need the solutions be Word file please including the lab report. Thanks
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Control System (Introduction to Fuzzy Control) LAB 1: Triangular Membership Function Definitions: CP (Center Point) - Point where the membership is 1. W (Width) - support of the membership function (distance between the points (relative to the center point) at which the membership is zero). Preparation: Write the equation for a triangular membership function that is independent of the center point and the width. Lab: 1. Write an m-file that implements a triangular membership function. The function returns a single value for the input. The center point and width are also inputs. The function call should be in the form: y = Triang(x, CP, width) 2. Try different input values, x, and obtain plots for the lab report. Lab Report Include at a minimum: 1. Description of the assignment. 2. Equation derivation for membership functions. 3. Description of each membership function (i.e. why they would be used). 4. Relevant observations and conclusions.

Answered Same Day Dec 20, 2021

Solution

Robert answered on Dec 20 2021
135 Votes
LAB REPORT
The triangular membership is a function of a variable x, and depends on three scalar parameters a, b, and c.
The assignment asks for understanding and developing a m-file program for a triangular membership function y. The user would be required to define the centre point of the function, the width of the function in-terms of the lower and upper boundaries/supports and the range (for plotting) or value (for single output) of the independent variable x
a, b and c represent the x coordinates of the three vertices of y in a fuzzy set where, a = lower boundary, c = upper boundary where membership degree is zero, b = the centre point where membership degree is 1 and (c – a) = width of the function.
Equation for the function is given...
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