This work shows a comparative assessment
of open-loop and closed-loop
processes to select, among a set of alternatives, the best distillation
scheme regarding its controllability. A new point of view to assess
the controllability using the information from the singular value
decomposition (SVD) technique is proposed. In the research, the techniques
for comparing the open-loop analysis and closed-loop analysis were
standardized. The open-loop controllability index was calculated from
the minimum singular value and the condition number of the certain
areas in the frequency domain and a simplified index for measuring
the singularity in SVD results. The derived controllability index
then was compared with the normalized value of the Integral Absolute
Error (IAE) of a proportional–integral (PI) controller obtained
under closed-loop operation. Several different frequency areas were
investigated to calculate the SVD and were used to compare the open-loop
and closed-loop behaviors. The selected best distillation scheme was
the same despite the chosen approach. Through the simulation study,
it is verified that the newly proposed controllability index based
on the condition number derived from open-loop responses can be useful
to predict the best performance under closed-loop operation. This
prediction is suitable to use in an optimization algorithm, because
of the structure of the proposed controllability index.