Question: A process control system contains the following transfer functions: (a) Show how G O L (s) can be approximated by a FOPTD model; Find K,Ï,

A process control system contains the following transfer functions:

2e-1.5s G ,(s) = (60s + 1)(5s + 1) 0.5e-0.3s G,(s) = 3s +1 3e-0.2s = (s)“) 2s + 1 G(s) = K.

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

G,G,G„G¸ = GoL (s) = Ke-s TS + 1 %3D

Find K,τ, and θ for the open-loop process transfer function.
(b) Use direct substitution and your FOPTD model to find the range of Kc values that will yield a stable closed-loop system. Check your value of Kcm for the full-order model using simulation.

2e-1.5s G ,(s) = (60s + 1)(5s + 1) 0.5e-0.3s G,(s) = 3s +1 3e-0.2s = (s)) 2s + 1 G(s) = K. G,G,GG = GoL (s) = Ke-s TS + 1 %3D

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