To set that up mathematically, introduce a binary column vector x of dimension = number of internal metabolites.
A design matrix was created, containing both main (or single) effects and interaction (or combinatorial) effects: each category within each cultivation parameter type is represented by a binary indicator column with 170 entries.
A designmatrix was created, containing both main (or single) effects and interaction (or combinatorial) effects: Each setting within each cultivation parameter is represented by a binary indicator column with 170 entries.
We transform Hmin (α i ) to its binary form by replacing the symbols in Hmin (α i ) by their binary column vector patterns according to the coding theory [25] and record it Hbmin (α i ).
The proposed approach is illustrated and tested with an experimental binary column.
The controller performance is evaluated by simulations conducted on a binary distillation column, which is characterised by a nonlinear and dynamic behaviour.
A discrete-time model a binary distillation column, obtained by parametric identification, is used for discrete-time control design.
Elution was performed onto an analytical column (BEH130 C18, Waters) by a binary gradient of buffer A (0.1% (v/v) acetic acid) and B (100% (v/v) acetonitrile, 0.1% (v/v) acetic acid) over a period of 50 min with a flow rate of 400 nl/min.
Elution from the analytical column was performed by a binary solvent mixture composed of water with 0.1% formic acid (solvent A) and acetonitrile with 0.1% formic acid (solvent B).
The proposed tuning method is demonstrated on a binary distillation column example.
