Homework 11 - Closed Loop

Homework 11 - Closed Loop - Chemical Engineering Department...

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Chemical Engineering Department University of Florida ECH 4323 Process Control Theory HOMEWORK No. 11 — CLOSED-LOOP DYNAMICS 1.0 Consider the standard feedback loop shown in the figure below. a) The closed-loop relationship between the output and the set-point and disturbance variables is given by the equation ! Y (s) = G srv (s) ! R (s) + G reg (s) ! D (s) where G srv (s) and G reg (s) are respectively the servo and regulation transfer functions for the loop. Derive an expression for G reg (s) and confirm the result using the rule of thumb discussed in class. b) The closed-loop relationship between the feedback error and the set-point and disturbance variables is given by the equation ! E (s) = G er (s) ! R (s) + G ed (s) ! D (s) where G er (s) and G ed (s) are respectively the closed-loop transfer functions ! E (s)/ ! R (s) and ! E (s)/ ! D (s) . Derive an expression for G ed (s) and confirm the result using the rule of thumb discussed in class. 2.0
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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 11 - Closed Loop - Chemical Engineering Department...

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