Question: A process control system contains the following (a) Show how GOL(s) can be approximated by a FOPTD model; Find K, , and for the

A process control system contains the following

2 e-15s (60 s + 1)(5s+ 1) Gp(s) 0.5 e-0.3s 3s +1 G(s) Зе-0.2 Gm(s) 2s + 1 G(s) = Ke ||

(a) Show how GOL(s) can be approximated by a FOPTD model;

2 e-15s (60 s + 1)(5s+ 1) Gp(s) 0.5 e-0.3s 3s +1

Find K, τ, and θ for the open-loop process transfer function

(b) Use Routh stability methods and your FOPTD model to find the range of Kc values that will yield a stable closed-loop system. Repeat for the full-order model using MATLAB.

(c) Determine and the corresponding w.

2 e-15s (60 s + 1)(5s+ 1) Gp(s) 0.5 e-0.3s 3s +1 G(s) -0.2 Gm(s) 2s + 1 G(s) = Ke ||

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