Question

4.11 Find a realization for the proper rational matrix \begin{equation} \hat{G}(s) = \begin{bmatrix} \frac{2}{s+1} & \frac{2s-3}{(s+1)(s+2)} \\ \frac{s-2}{s+1} & \frac{s}{s+2} \end{bmatrix} \end{equation}

          4.11 Find a realization for the proper rational matrix
\begin{equation*}
\hat{G}(s) = \begin{bmatrix}
\frac{2}{s+1} & \frac{2s-3}{(s+1)(s+2)} \\
\frac{s-2}{s+1} & \frac{s}{s+2}
\end{bmatrix}
\end{equation*}

4.11 Find a realization for the proper rational matrix

Ĝ(s) =
< b m a t r i x >

Added by Amanda W.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Stephen Zaffke

Step 1

First, we need to factor the denominator of G(s) to find its poles: G(s) = 2/(3s+1) * (s+15+2s^-2)/(s+2)(s+2i)(s-2i) where 2i and -2i are the complex conjugate poles. Show more…

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