A second-order process is controlled by a PID controller. The desired closed-loop servo transfer function is and
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A second-order process is controlled by a PID controller. The desired closed-loop servo transfer function is
and the process model is
(a) Derive a control law that shows how adjust Kc, ?I, and ?D based on variations in Kp, ?I and ?2 and the desired closed-loop time constant ?c.
(b) Suppose ?I = 3, ?2 = 5, and Kp, = 1. Calculate values of Kc,?I and ?D to achieve ?c =1.5. Show how the response deteriorates for change-s in the following model parameters when the controller remains unchanged:
i. Kp =2
ii. Kp = 0.5
iii. ?2 = 10
iv. ?2 = 1
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Related Book For
Process Dynamics And Control
ISBN: 978-0471000778
2nd Edition
Authors: Dale E. Seborg, Thomas F. Edgar, Duncan A. Mellich
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