The problems of robust performance and feedback control synthesis for
a class of linear discrete-time systems with time-varying parametric u
ncertainties are addressed in this paper. The uncertainties are bound
and have a linear matrix fractional form. Based on the concept of stro
ngly robust H-infinity-performance criterion, results of robust stabil
ity and performance are developed and expressed in easily computable l
inear matrix inequalities. Synthesis of robust feedback controllers is
carried out for several system models of interest.