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Q2: Consider continuous model of a system, $G(s) = \frac{-5s + 5}{(s + 2)(s + 4)}$ and its discrete-time transfer function obtained with sampling period T=0.2 as $G(z) = \frac{-0.4845z + 0.598}{z^2 - 1.12z + 0.3012}$ A discrete-time model matching controller is to be designed. The sampling period is given as T=0.2. Specifications for desired closed loop system are as follows. \begin{itemize} \item Damping ratio is $\zeta$=0.7 and settling time to be 3s. \item There shouldn't be steady state error for step input. \end{itemize} Construct the causal and internally stable discrete-time model matching controller that makes the closed-loop system satisfies the mentioned specifications. (20 points).

          Q2: Consider continuous model of a system,
$G(s) = \frac{-5s + 5}{(s + 2)(s + 4)}$
and its discrete-time transfer function obtained with sampling period T=0.2 as
$G(z) = \frac{-0.4845z + 0.598}{z^2 - 1.12z + 0.3012}$
A discrete-time model matching controller is to be designed. The sampling period is given
as T=0.2. Specifications for desired closed loop system are as follows.
\begin{itemize}
    \item Damping ratio is $\zeta$=0.7 and settling time to be 3s.
    \item There shouldn't be steady state error for step input.
\end{itemize}
Construct the causal and internally stable discrete-time model matching controller that
makes the closed-loop system satisfies the mentioned specifications. (20 points).

Q2: Consider continuous model of a system,
G(s) = (-5s + 5)/((s + 2)(s + 4))
and its discrete-time transfer function obtained with sampling period T=0.2 as
G(z) = (-0.4845z + 0.598)/(z^2 - 1.12z + 0.3012)
A discrete-time model matching controller is to be designed. The sampling period is given
as T=0.2. Specifications for desired closed loop system are as follows.

* Damping ratio is ζ=0.7 and settling time to be 3s.

* There shouldn't be steady state error for step input.

Construct the causal and internally stable discrete-time model matching controller that
makes the closed-loop system satisfies the mentioned specifications. (20 points).

Added by Jordi N.

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