Section $2$: Identify and Use Tools $(20\%)$ Ability to identify and use relevant tools for an engineering activity.Designing the PID ControllerDetermine the appropriate PID parameters $($Proportional$,$ Integral, and Derivative gains$)$ using methods like Ziegler$-$Nichols tuning, trial and error, or software$-$based optimization. To achieve that, choose the model of your choice between Case $1,$ Case $2$ and Case $3\mathrm{.}3$Section $3$: Create Tools $(30\%)$ Ability to create engineering tools.Simulation of Closed Loop System$3\mathrm{.}1$ Build the system with the PID controller in Matlab$/$SIMULINK environment$\mathrm{.}3\mathrm{.}2$ Simulate the closed loop system to observe how well the controller maintains the desiredwater level setpoint$\mathrm{.}3\mathrm{.}3$ Adjust the PID parameters as needed to minimize overshoot, oscillations, and steady$-$stateerror.Section $4$: Evaluate Tools $(30\%)$ Ability to identify the limitations in the use of engineering tools, and their underlying assumptions$\mathrm{.}4\mathrm{.}1$ Validate the simulation results with real testing in a simulated controlled environment$\mathrm{.}4\mathrm{.}2$ Make further adjustments based on actual performance to ensure the system maintains therequired water level within the specified range $($specify and evaluate all levels$)\mathrm{.}4\mathrm{.}3$ Ensure the tank reaches the desired water level quickly without significant overshoot$\mathrm{.}4\mathrm{.}4$ Prove that your system can maintain the level of stability and prevent any deviation that coulddisrupt plant operations or cause safety hazards$\mathrm{.}4$