Stack gas scrubber has the following relationship between the fresh feedwater flow rate and the SO2 concentration in the water leaving the scrubber: G=(20S+1)(6S+1)4(2S+1) 2. Design an IMC controller GC for the system write the transfer function, take TC=4.[5 maks] 2. Design an IMC-based PID controller for this system, write what is KC. T,10, take TC=4[[5 marks ] 3. Design an ITAE (selpoint) write what is KCCT, To (Hint Make the system FOPTD). [5 marks] 4Simulate the three cases in simuink and comment on the performance of the three controllers. [5 Marks]