A process control system contains the following transfer functions:

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

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 K_c values that will yield a stable closed-loop system. Check your value of K_cm for the full-order model using simulation.

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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,G„G¸ = GoL (s) = Ke-s TS + 1 %3D