$($c$)$ Design a fuzzy logic controller to control the speed of an autonomous vehicle. The diagram of this system is shown in Figure $6.$ The controller has $2$ inputs, and $1$ output.

The car increases its speed when no curve is detected, and the speed decreases when the angle of the detected curve is big. You can use the variables slow, medium and fast for the memberships of the speed of the car. For the type of curve detected you can use the variables big, medium and no curve for the membership functions. For both input signals, you can add more membership functions if you consider they are needed for a precise control of the vehicle. Your answer should include a fuzzification methodology, membership graphs, rules set, a fuzzy matrix table, and a defuzzification method. Make use of diagrams, tables and formulas to design the components of your fuzzy logic controller.

This is a qualitative design, not a quantitative design.

Figure $6.-$ Speed control for autonomous vehicle