# Construct phase variable form simulation diagram for the following transfer functions and develop state space model in

## Question:

Construct phase variable form simulation diagram for the following transfer functions and develop state space model in matrix form

(a) \(\mathrm{T}(s)=\frac{\mathrm{Y}(s)}{\mathrm{U}(s)}=\frac{10 \mathrm{~s}}{s^{3}+12 s^{2}+7 s+2}\)

(b) Two outputs:

\[

\begin{aligned}

& \mathrm{T}_{11}(s)=\frac{\mathrm{Y}_{1}(s)}{\mathrm{U}_{1}(s)}=\frac{-s^{2}+9}{s^{3}+3 s^{2}+s+4} \\

& \mathrm{~T}_{21}(s)=\frac{\mathrm{Y}_{2}(s)}{\mathrm{U}_{1}(s)}=\frac{s^{2}+s+10}{s^{3}+3 s^{2}+s+4}

\end{aligned}

\]

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