Abstract
The problem of Hinfin, state-feedback control synthesis for a subclass of rational LPV (linear varying parameter) systems is studied. It is shown first that rational LPV systems may be equivalently recast as an affine descriptor LPV system. Working on such realizations and under some simplifying assumptions, sufficient conditions for stability and Hinfin, performance are proposed in terms of LMI (linear matrix inequalities). Based on these conditions, a LMI problem is formulated in order to design constant or affine (in the varying parameters) Hinfin state-feedback. The effectiveness of the controllers so obtained is illustrated through academic examples
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