Consider again the system of Fig. P4.4-5. Add a sampler for \(E(s)\) at the input. Given

\[
G_{1}(s)=\frac{1}{s+10} \quad D(z)=\frac{z-0.5}{z-1} \quad G_{2}(s)=\frac{s}{s^{2}+9 s+23}
\]

find \(c(k T)\) for a unit-step input with \(T=0.5 \mathrm{~s}\). Is this a good choice for the sampling interval? If not, what sampling rate would you recommend. Find \(c(k T)\) at your recommended sampling rate and plot both step responses using MATLAB.

Fig. P4.4-5

Transcribed Image Text:

E(s) G(s) 830-669415 A/D Digital filter C(s) DIA G(s)