A process has the transfer function with a lag$-$dominant model with $\frac{}{}=0\mathrm{.}01.$

tilde$(G)(s)=\frac{100e^{-s}}{(100s+1)}$

Design the controller based on Table $2$ by using Table $12\mathrm{.}1.$ Explain the relationship between

controller and ${}_c$ based on the result from Table $2.$

Table $2$

Table $12\mathrm{.}1$