Question

Control System

\begin{array}{l} \text { Consider the block diagram as shown in Figure 1. } \mathrm{A}(\mathrm{s}) \text { is given as } \mathrm{A}(\mathbf{s})=\boldsymbol{\alpha} \mathbf{s}+\boldsymbol{\gamma}, \text { where } \alpha: 36 \text { , }\\ \gamma: 6 \text { and } \beta: 15 \end{array}

\text { Simplify and determine the closed-loop transfer function } \frac{Y(s)}{R(s)} \text { for the block diagram of }

Use the Routh-Hurwitz stability criterion, determine if the closed-loop system is stable or not.Hints: use the closed-loop transfer function derived from Q1(a).