Consider an open-loop system having a transfer function (G(s)=(s+2)^{-1}). Find its output (c(t)) in block pulse function

Question:

Consider an open-loop system having a transfer function $G(s)=(s+2)^{-1}$. Find its output $c(t)$ in block pulse function (BPF) domain as well as in non-optimal block pulse function (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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