Question: Consider a closed loop system having the forward path transfer function (G(s)=(s+1)^{-1}) and the feedback path transfer function (H(s)=frac{4}{s}). Find its output (c(t)) in LPWM-GBPF

Consider a closed loop system having the forward path transfer function $G(s)=(s+1)^{-1}$ and the feedback path transfer function $H(s)=\frac{4}{s}$. Find its output $c(t)$ in LPWM-GBPF domain for a step input $u(t)$ using the convolution matrix. Consider $m=4$ and $T=1$ s choosing $h_{0}$ and $\delta$.

Finally, compare the result graphically with the direct expansion of $c(t)$.

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