Question: Consider an open loop system having a transfer function (G(s)=) (left(s^{2}+4ight)^{-1}) and a sampler placed before (G(s)). Find its output (c(t)) by the conventional (z)-transform

Consider an open loop system having a transfer function $G(s)=$ $\left(s^{2}+4ight)^{-1}$ and a sampler placed before $G(s)$. Find its output $c(t)$ by the conventional $z$-transform analysis for a sampling period $h=0.1 \mathrm{~s}$ with a unit step input. Also, determine the output of the system via $\delta$-domain DOTF approach. Consider $m=10$ and $T=1 \mathrm{~s}$.

Compare the results obtained by two methods of analysis by estimating the percentage errors.

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