(Solved): 1. Find the first-order closed-loop transfer function T(s)=R(s)C(s) of the block diagram shown i ...

1. Find the first-order closed-loop transfer function $T(s)=\frac{C(s)}{R(s)}$ of the block diagram shown in Figure 5. Consider $G(s)=\frac{12}{s+4}$ 2. From the obtained transfer function $T(s)$, using theoritical formulas, calculate the time constant $T_c$, rise time $T_r$, and settling time $T_s$. 3. Using Matlab coding, generate the step response of obtained transfer function $T(s)$ 4. From the Matlab generated graph, find the time constant $T_c$, rise time $T_r$, and settling time $T_s$ of the system. Compare the experimental finding with theoritical.