Q$3(50$ points $)$

a$)(25$ points $)$ Analyze the liquid level control system for the given tank, defining the core components

of a control system: plant, sensor$,$ input, output, actuator, and controller, then draw the block diagram. If

required make necessary assumptions.

b$)(25$ points $)$ Imagine you are an operator responsible for visually monitoring the tank$\text{'}$s liquid level and

manually adjusting the inflow to maintain the desired level. Based on this scenario, design a basic fuzzy

logic controller that mimics your decision$-$making process to automatically maintain the tank level at the

desired value.

Hint :

Identify Inputs and Outputs: Define the input variables that influence the system and the output

variables that control it$.$

Define Membership Functions: Create fuzzy sets and membership functions for the inputs and outputs.

Develop Fuzzy Logic Rules: Write the fuzzy $"$if$-$then" rules that describe how the system should respond

to different conditions.

Fuzzy Inference: Explain how the rules are applied to generate the fuzzy output.

Result $($Defuzzification$)$: Convert the fuzzy output back into a crisp value for controlling the system.