# 5 pts f add in gains of 20 and 25 to the process to

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(e) Determine the gain and phase margins for the controller. (5 pts) (f) Add in gains of 2.0 and 2.5 to the process to see if the controller still works. What happens if time delay of 0.2 and 0.25 h are introduced instead? (10 pts) Question 2. An open-loop chemical reactor has a transfer function relating the exit concentration of the reactant to the manipulated feed flow rate: g ( s ) = 2 e - s (10 s +1)(5 s +1) The feed temperature fluctuates, and the transfer function relating this disturbance input to the exit concentration is assumed to be identical to g ( s ). (a) Use the Ziegler-Nichols method to determine the PID control parameters for unit step change in the set point. (10 pts) (b) In a similar manner, determine the PID parameters for unit step changes in the disturbance. (10 pts) (c) Determine the Tyreus-Luyben parameters, and plot the set-point and disturbance responses. (5 pts) (d) Based on a comparsion between T-L and Z-N responses, comment on the effectiveness of these PID tuning methods for set-point and disturbance control. (10 pts) (e) For the same process, assuming that the time delay is absent, design a controller such that the closed loop system shows first-order behavior. Determine the controller type and parameters. (10 pts) (f) Now, if first-order numerator dynamics are introduced to this system with a time constant of 2 (still no time delay), find a controller that gives a first-order closed loop response. (5 pts) 1
• Spring '14
• pts, 5 pts, Tan Hall

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