Homework 13 - Tuning

# Homework 13 - Tuning - i.e., most conservative) integral...

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Chemical Engineering Department University of Florida ECH 4323 Process Control Theory HOMEWORK No. 13 — TUNING 1.0 [Modification of Exercise 12.3]. A process has the transfer function, ) 1 ( 2 ) ( 2 . 0 + = - σ ε Γ . (a) Calculate the PI controller settings that result from the Cohen-Coon tuning relations (b) Calculate the PI controller settings that result from the ITAE performance index (load) (c) Calculate the PI controller settings that result from the ITAE performance index (set point) (d) Which approach from the list (a)-(c) prescribes the most aggressive proportional action for this process? (e) Which approach from the list (a)-(c) prescribes the most aggressive integral action for this process? (f) Which approach from the list (a)-(c) prescribes the least aggressive ( i.e., most conservative) proportional action for this process? (g) Which approach from the list (a)-(c) prescribes the least aggressive (

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Unformatted text preview: i.e., most conservative) integral action for this process? Hint 1 . Cohen-Coon Design Relations for PI controller: K c = 1 Κ τ θ 0.9 + 12 Ι = 30 + 3 θτ ( 29 9 + 20 ( 29 Hint 2 . Aggressive proportional action: higher K c . Aggressive integral action: lower τ I . 2.0 The open-loop step response y (t) of a process to an input u ( t ) is shown in the figure below. At time t = 0 sec, the input changed from a value 3 to a value 6. Calculate the PI controller settings that result from the following approaches: (a) Cohen-Coon tuning relations (b) ITAE performance index (load) (c) ITAE performance index (set point) 0.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 0.0 1.0 2.0 3.0 4.0 5.0 6.0 Time [sec] 0.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 0.0 1.0 2.0 3.0 4.0 5.0 6.0 Time [sec] 3.0 Exercise 12.5 (b) and (c)....
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## This note was uploaded on 07/14/2011 for the course ECH 4323 taught by Professor Crissale during the Spring '10 term at University of Florida.

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Homework 13 - Tuning - i.e., most conservative) integral...

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