Compare the results of Problem 7.3 obtained using BPOTF, SHOTF, and conventional z-transform analysis by estimating the percentage errors at the sampling instants and discuss the effectiveness of the SHOTF approach.

Data From Exercise 7.3

Consider an open loop system having a transfer function \(G(s)=\) \((s+4)^{-1}\) with an S/H device at the input. For a unit step input \(u(t)\), find the output \(c(t)\) of the system by the conventional \(z\)-transform analysis, and also using BPOTF and SHOTF approaches. Consider \(m=8, T=1 \mathrm{~s}\) and sampling period \(h=0.125 \mathrm{~s}\).