You have leamt the purpose of implementing compensators or controllers in the contrel loop to achieve certain performance criteria. The types of compensators discussed were the PI, PD, P10, phase lag, phase lead and also lag-lead. Among the oporoaches that can be adopted in designing the compensator or controller for a glvel system is root locus. Another approach that can be adopted is by using cerrain controller tuning methods such as Ziegler Nichols etc. In this laboratory, you will use what you have learnt to design a controller for the given systern. Figure 1. Liquid-level tank with interactions where Q : Steady-state flow rate cl=3m2 H1: Steady-state liquid level of tank 1 C2=4m4 HZ : 5teady-state lquid level of tank 2R1=0.25 R2=0.5 The system is shown in Figure 1 above. The system is build up of in acting tanks. 1) Find the transfer function of the system, with q being the inpir and h1 being the output. 2) Implement the transfer function of the system in MATLAB/Sitiuliak, and oet the system open loop response to a unit step change in the input. 3) Get the system closed loop transfer function and plot the transient response. Analyse the uncompensated system's closed loop step response. You may andlyse the system response from the transient response plot or from the root locus plot, or both. Suggest the type of compensator that can be implemented to improve the performance af the system. Justify your answers. 4) Design a suitable controller for the svetem. You may use any methods to obtain the porameters of the controller, such as root locus, Ziegler-Nichols stc. 5) Tune the controller parameters to get: a) Zero steady-state error b) 2 times improvement in the setting time (5\%) 6) Draw the schematics of how the controller can be implemented using active or passive networks. 7) For the report, show the development of the process transfer function. Also show the appropriate plots you deemed to be important in the develapment of the compensator. Describe the approach adopted in obtaining the controller parameters