A blending system with a measurement time delay can be modeled as
G(s)=\frac{1.54e^{-1.07 s}}{5.93s+1}
Calculate PI controller settings using the following tuning relations:
(a) IMC (\tau_{c}= \tau/3)
(b) IMC (\tau_{c}=\theta)
(c) ITAE (disturbance)
(d) AMIGO