(a) Using the process, sensor, and valve transfer functions in Exercise 11.21, find the ultimate controller gain...

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(a) Using the process, sensor, and valve transfer functions in Exercise 11.21, find the ultimate controller gain Kcuusing a Bode plot. Using simulation, verify that values of Kc> Kcucause instability. 

(b) Next fit a FOPTD model to G and tune a PI controller for a set-point change. What is the gain margin for the controller?

Function From Exercise 11.21,

2e-1.5s G,(6) = (60s + 1)(5s + 1) 0.5e-0.3s G,(s) = 3s +1 Зе-0.25 G„(8): 2s + 1 G_(s) = K.

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Process Dynamics and Control

ISBN: 978-1119385561

4th edition

Authors: Dale E. Seborg, Thomas F. Edgar, Duncan A. Mellichamp, Francis J. Doyle

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