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Question 3 You are setting up a DMC to control the temperature [T) and composition [A] at the exit of the tubular catalytic reactor below: Feed VI Coolant Out Reactor V2 G Coolant In T Product A +10% step in V1 has produced the responses in column 1, and a +10% step in V2 has produced those in column 2: For AV1=+10% For AV2=+10% 30 20 10 N ["C] 0 10 relative to start] 20 I 0 5 10 15 20 0 5 10 15 20 25 30 20 A 10 [%] U -10 relative to start] -20 8 5 10 15 20 0 5 10 15 20 25 Time [seconds) Obtain the dynamic matrix for this system for a 4-step horizon with At=5s, and use it to find the responses of T and A to a +5% step in V1 followed 5 seconds later by a -10% step in V2. Sketch your result. Question 3 You are setting up a DMC to control the temperature [T) and composition [A] at the exit of the tubular catalytic reactor below: Feed VI Coolant Out Reactor V2 G Coolant In T Product A +10% step in V1 has produced the responses in column 1, and a +10% step in V2 has produced those in column 2: For AV1=+10% For AV2=+10% 30 20 10 N ["C] 0 10 relative to start] 20 I 0 5 10 15 20 0 5 10 15 20 25 30 20 A 10 [%] U -10 relative to start] -20 8 5 10 15 20 0 5 10 15 20 25 Time [seconds) Obtain the dynamic matrix for this system for a 4-step horizon with At=5s, and use it to find the responses of T and A to a +5% step in V1 followed 5 seconds later by a -10% step in V2. Sketch your result