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Q3. (10 marks) For the purpose of designing a practical controller, an industrial chemical reactor is modelod by a first-order plos time delay (FOPTD) transfer function, G(s), with an gain equal to 10.3, time delny equal to 7.5 and time constant equal 15. Design a PID controller for this process using the transfer function, G(s), and three controller tuning relations: a) IMC method with tc=5.0 (2 marks) b) Ziegler-Nichols settings in Table 12.4 (4 marks) c) Tyreus-Luyben (T-L) settings in Table 12.4 (2 marks) d) Which controller provides the most conservative controller settings? (2 marks) Q4. (10 marks) Figure shows a schematic diagram for a heat exchanger exit temperatur control problem. The exit temperature of the process stream is influenced by the stear flow rate into the heat exchanger shell, and by the randomly varying inlet temperature the process stream. The steam flow rate itself is also subjected to random fluctuatio induced by steam supply pressure. Temperature measurements are provided by ty comperature transmitters (TT1 and TT2), and steam flow by flow transmitter FT. A fl can be configer, a temperature controller, TC, and a feedforward controller, FFC (wh configured any way you wish), have been made available to you. configured for: a) Feedback control only. (2 mark) b) Feedforward control only. (2 mark) c) Cascade control only. (2 marks) d) Feedforward control with cascade control. (2 marks) e) Feedforward control with feedback control. (2 marks)