static mixing + flow control: decoupling in direct/inverted form, linear and nonlinear

Antonio Sala, UPV

Difficulty: ***** ,       Relevance: ,      Duration: 18:54

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Summary:

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This video complements the video [mzratdc1EN] in which a ratio control structure was proposed, and its linearization could be interpreted as (partial) decoupling in inverted form.

Here, inspired by this, the complete inverted-form decoupling is proposed (an algebraic or parasite loop appears, of course) in linearized form and, subsequently, the ratio structure of the previous video is also modified to incorporate this complete inverse decoupling in NONlinear form.

The last part of the video discusses decoupling in a “direct” form (without looping back as the inverted-form structure), by using matrix inverse in the linear case, or by some straightforward calculations with proportions in the non-linear case.

Reverse decoupling creates a parasitic loop that needs to be broken or stability-checked but, on the other hand, it protects against saturation in some way (tracking-mode antiwindup would be needed, possibly); direct decoupling has no parasitic loops, but in case of saturation the ratios could drift away from the desired ones.

The generation of the “inversion” of the mixing equations to a “dynamic” case is called feedback linearization, see video [fblin1EN], for instance.

*Link to my [ whole collection] of videos in English. Link to larger [ Colección completa] in Spanish.