$Q_3$ : $(10$ marks$)$

Using Fuzzy Logic, design an Automated Vehicle Control system. Controlled Vehicle Behaviors:

$($a$)$ GUIDANCE SYSTEM, $($b$)$ STEERING CONTROL, $($c$)$ SPEED CONTROL.

You should consider the following while designing the Artificially Controlled vehicle for the fuzzy input variables: $($a$)$ Lateral$\_$Error straight, $($b$)$ Angular$\_$Error straight, $($c$)$ Lateral$\_$Error curves, $($d$)$ Angular$\_$Error curves, $($e$)$ Speed$\_$Error throttle, $($f$)$ Acceleration throttle, $($g$)$ Speed$\_$Error brake, and $($h$)$ Acceleration brake.

Outputs: $($a$)$ Steering$\_$Wheel, $($b$)$ Throttle, and $($c$)$ Brake.

Show the system structure, five associated fuzzy rules. Simulate the system operation via hand and compute the defuzzification of system parameters. Use three memberships for each variable at the input and the output, $($bell shapes$),(5$ marks$).$

Write an adequate number of rules, and show your hand calculations that work via the fuzzy rules, and show the defuzzification process. $(5$ marks$).$