Consider a process system with OP $=20\%,$ a slope of $20\%$ and a lag time of $1/3$ of a minute. The Integration for a PI controller using the Ziegler$-$Nichols algorithm is:

Group of answer choices

$1\mathrm{.}000$ min

$0\mathrm{.}333$ min

$0\mathrm{.}663$ min

$0\mathrm{.}165$ min