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)

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:

\[
\begin{aligned}
& \mathrm{T}_{11}(s)=\frac{\mathrm{Y}_{1}(s)}{\mathrm{U}_{1}(s)}=\frac{-s^{2}+9}{s^{3}+3 s^{2}+s+4} \\
& \mathrm{~T}_{21}(s)=\frac{\mathrm{Y}_{2}(s)}{\mathrm{U}_{1}(s)}=\frac{s^{2}+s+10}{s^{3}+3 s^{2}+s+4}
\end{aligned}
\]

Step by Step Solution

3.40 Rating (156 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

To construct a phase variable form and develop a state space model of any transfer function there ar... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Systems Analysis And Design Questions!

Related Book