onsider a different control design scheme for the system described in Problem 3 and shown in Figure 4 where a temperature controller is interposed between the viscosity con- troller and the jacket cooling water valve. 1. Draw a block diagram for this process under the feedback control strategy shown in Figure 4. Label each essential element. (1 point) 2. Obtain the closed-loop transfer function.(1 point) 3. Given that a proportional controller with the controller gain of 4 is used to de- sign the temperature controller, use the Ziegler-Nichols closed-loop tuning method to design a PI controller for the viscosity controller. Implement this controller in SIMULINK and obtain the closed-loop system response to simultaneous step changes of +3o C in the cooling water supply temperature and +2 psi in the supply pressure. (1.5 points) 6