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This video continues the model-based theoretical analysis of static mixing at
the inlet of a 2-tank process, which began in the video [mzrgaEN]. There, we modelled and
linearized the static mixing stage, and derived the recommended pairing for
multi-loop control based on the relative gain array (RGA).
Here, we discuss the ratio control strategy for the concentration loop, starting
with a merely intuitive justification (similar to the model-free argumentation
made in the video [estrx2bEN]). But the main objective of this video is the theoretical
analysis of said ratio control, specifically its linearization: it can be observed that
the linearization of the ratio control can be understood as a multi-loop +
decoupling (inverse form) of the effect of the level loop on the concentration one.
With this interpretation, it is justified that the multi-loop concentration control
would be obtained from the ratio control one just by multiplying it by the
nominal water flow.
The relationship with decoupling is discussed in more depth in the video [mzratdc2EN], the
sequel to this one whose watching is recommended.