Consider the closed loop system of Problem 5.4. Knowing the input, output, and feedback path transfer function, identify the system using (a) the "deconvolution" matrix and (b) the recursive approach for \(m=8\) and \(T=1 \mathrm{~s}\). Comment on the results obtained using these two approaches.

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 \(c(t)\).