In this paper we present a design methodology for multivariable Quadratic Dynamic Matrix Control (QDMC) systems with more manipulated variables than outputs. The algorithm requires the utilization of an end-condition and calculates low bounds on the move suppression coefficients in the on-line objective function. We show that these bounds are the solutions of an off-line constrained nonlinear minimization problem. The technique guarantees the robust stability of the closed-loop system, when both input and output constraints are present. The success of the method is illustrated through the application to an industrial case.