Question $12$

Time left

Show

Not yet answered

Flag question

Obtain the transfer function $Y\frac{s}{U}(s)$ of the system defined by the following state$-$space representation:

$\left[\begin{array}{c}{x}_1^{}\end{array}\right]$

$x_2^{}=\left[\begin{array}{ccc}7& 2& 4\end{array}\right]$

$1*\left[\begin{array}{c}{x}_1\end{array}\right]$

$x_2+\left[\begin{array}{c}1\end{array}\right]$

$1*u$

$y=\left[\begin{array}{cc}2& 1\end{array}\right]*\left[\begin{array}{c}{x}_1\end{array}\right]$

$x_2+[0]*u$

Select one:

a$.\frac{Y(s)}{U(s)}=\frac{3s+10}{s^2-11s+26}$

b$.\frac{Y(s)}{U(s)}=\frac{3s-11}{s^2-11s+26}$

c$.\frac{Y(s)}{U(s)}=\frac{3s-10}{s^2-11s+26}$

d$.\frac{Y(s)}{U(s)}=\frac{3s-10}{s^2+11s-26}$

e$.$ None of these