Let the model of a plant be represented using a FOPTD model as $G_p=\frac{2}{5s+1}{e}^{-2s}.$ A

proportional controller with a gain of $15$ and a smith predictor is used to control such a

process. For a given set$-$point $($anything can be considered$),$ if there is a $+-20\%$ error in

values of process gain, time constant and time delay $($consider at least $3$ different values of

each variable$),$ provide your comments on the response of Smith predictor control. Discuss

on change in which among the three variables is more sensitive i$.$e$.,$ discuss on relative importance on each type of error in process variables. Further comment on how large a change in gain, time constant and time delay be tolerated before the control loop goes unstable?

Disclaimer$-$ I want appropriate answers