A closed-loop system has a hold circuit, as shown in Problem 8.16. Determine G(z) when T = 1 T = 1 sec and [G_{p}(s)=frac{2}{s+2}] Data

A closed-loop system has a hold circuit, as shown in Problem 8.16. Determine G(z) when $T=1$ sec and

\[G_{p}(s)=\frac{2}{s+2}\]

Data from Problem 8.16

A unit ramp \(r(t)=t, t>0\) is used as an input to a process where

\[G(s)=\frac{1}{(s+1)}\]

as shown in the diagram below.

Determine the output \(y(k T)\) for the first four sampling instants.

(t) r(t) G(s) y(t)