You have learnt the purpose of implementing compensators or controllers in the control loop to achieve certain performance criteria. The types of compensators discussed were the PI, PD, PID, phase lag, phase lead and also lag-lead. Among the approaches that can be adopted in designing the compensator or controller for a given system is root locus. Another approach that can be adopted is by using certain 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 system. Figure 1. Liquid-level tank with interactions where Q : Steady-state flow rate C1=4m2 H1: Steady-state liquid level of tank 1 C2 =2m2 H2: Steady-state liquid level of tank 2R1=0.5 R2=0.25 The system is shown in Figure 1 above. The system is build up of interacting tanks. 1) Find the transfer function of the system, with q being the input and h2 being the output