Question: Consider an underdamped system having a transfer function (G(s)=) (left(s^{2}+2 s+2ight)^{-1}). Find its output (c(t)) in BPF domain as well as in NOBPF domain, for

Consider an underdamped system having a transfer function $G(s)=$ $\left(s^{2}+2 s+2ight)^{-1}$. Find its output $c(t)$ in BPF domain as well as in NOBPF domain, for a step input $u(t)$ using the convolution matrix. Consider $m=4$ and $T=1 \mathrm{~s}$. Determine the percentage errors of different coefficients. Finally, compare the two results of the output and discuss.

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