There has appeared in the past decade a quantitative feedback synthesis for uncertain multiple-input-multiple-outputn × nplants, based on Schauder's fixed point theorem. This paper is devoted to the extension of the quantitative feedback theory to uncertainm × nplantsP, m > n. Pis imbedded in a feedback system with compensation operators F, G and provision for command inputs r into the system. There is given a set of acceptable plant outputs. F and G are to be designed so that in response to r, the plant outputs y will be inside the assigned performance bounds, despite the uncertainty in P.