Weighted mixed-sensitivity approach

Multivartable robust control using H infinity %Singular value loop shaping using the weighted mixed %sensitivity approach nug=200 ... 

In this approach a mixed solvent is chosen so that the relative sedimentation of the two components may give rise to a density gradient. The solute from a band that centres at the point where its effective density is equal to that of the solvent mixture. The band has a Gaussian shape with respect to solute concentration, the half-width is inversely proportional to the molecule weight of solute. A major importance is its sensitivity to small differences in effective density among the solute species. 

The phenomenological theory has been applied by Skwierczynski to the Et values of the Dimroth-Reichardt betaine, a quantity sensitive to the polarity of the medium. The approach is analogous to the earher development. We need only consider the solvation effect. The solute is already in solution at extremely low concentration, so solute-solute interactions need not be accoxmted for. The solvent cavity does not alter its size or shape dining an electronic transition (the Franck-Condon principle), so the general medium effect does not come into play. We write Ej. of the mixed solvent as a weighted average of contributions from the three states ... 

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