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File mttroot/mtt/lib/examples/Control/SimpleStateSpace/TwoTanks/TwoTanks_desc.tex artifact fc1416584e part of check-in 7c9f228b82

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This is a simple teaching example to illustrate compensator design via
observer/state-feedback methods.

\begin{itemize}
\item Each tank is identical and of unit cross section.
\item Each tank has an identical inflow $f_1 = u$
\item Each outflow is different and given by $\sigma_i v_i$ for $i=1$
  and $i=2$ where $v_i$ is the volume of liquid in tank i and
  $\sigma_i$ the corresponding discharge coefficient. The net outflow
  is thus $y = f_2 = \sigma_1 v_1 + \sigma_2 v_2$.
\item The system states are taken to be:
  \begin{equation}
    x = 
    \begin{pmatrix}
      v_1 \\ v_2
    \end{pmatrix}
  \end{equation}
\end{itemize}




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