Consider the feedback system of Problem 10.3. Double the value of \(m\) for the same interval \(T\) and find its output \(c(t)\) in BPF domain using the convolution matrix. Finally, comment on the convolution result.

Data From Problem 10.3

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 \(c(t)\).