Consider an open loop system having a transfer function (G(s)=) (left(s^{2}+s+4ight)^{-1}) and an S/H device at the

Question:

Consider an open loop system having a transfer function $G(s)=$ $\left(s^{2}+s+4ight)^{-1}$ and an S/H device at the input. For a unit step input $u(t)$, determine its output $c(t)$ by the conventional z-transform analysis, and also using BPOTF and SHOTF approaches. Consider $m=10$ and $T=1 \mathrm{~s}$ and sampling period $h=0.1 \mathrm{~s}$.

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