Consider the steam heated tank heater shown in Figure#1. Ti ம C V [- mmmmmmm Q Heater 3 Figure 1: Stirred tank heater A feedback control system is used to control the tank temperature (T). Steam flow rate in the heating coil is selected as the manipulated variable. Dynamic system behavior 1. Describe the system (give background) 2. Derive the model equations. (Chapter 2) 3. Using the information shown below, derive transfer function for the process. (Chapter 3) 4. Determine the response of the outlet temperature to the tank to a step change in the inlet temperature of from 60°C to 70°C. (Chapter 4) 5. Discuss the stability of the process. (Chapter 5) Control Scheme 1. Draw a block diagram of a classical feedback control system. (Chapter 7) 2. Using the information shown below, derive a transfer function for each block. (Chapter 4-8) 6. Carryout controller tuning by Ziegler-Nicholas method to get the best controller parameters for PI controller. (Chapter 11) 7. Compare the responses for Tyreus-Luyben PI parameters with Zeigler-Nicholas PI. (Chapter 11) 8. Carryout out stability analysis using Bode criterion. (Chapter 13) 9. Use appropriate values of gain margin and phase margin to design the controller. (Chapter 13) 10. Design a closed loop IMC controller that gives a first order plus time delay response for a step change. Assuming that the model perfectly captures the process behavior. (Chapter 11) Data: Volume of the tank 1000 L Volumetric flow rate 200 L/min Ti = 60°C, T = Transfer function for the control valve = G₁ 80°C, = 2 0.5s+1 Transfer function for the measuring element= Gm Use Matlab-Simulink to complete this project = 1 0.33s+1