Consider the feedback system of Problem 5.4. Double the value of m m for the same interval

Consider the feedback system of Problem 5.4. Double the value of $m$ for the same interval $T$ and find its output $c\left(t\right)$ using the convolution matrix. Finally, comment on the convolution result.

Data From Problem 5.4

Consider a closed loop system having the forward path transfer function \(G(s)=(s+1)^{-1}\) and the feedback path transfer function \(H(s)=\frac{2}{s}\). Find its output \(c(t)\) in BPF domain for a step input \(u(t)\) using the convolution matrix. Consider \(m=4\) and \(T=1 \mathrm{~s}\). Finally, compare the result graphically with the direct BPF expansion of \(c(t)\).