This paper outlines designing a predictive control model (PCM) applied to a mathematical model of a falling film evaporator with mechanical steam compression like those used in the dairy industry. The controller was designed using the Connoisseur H software package and data gathered from the simulation of a non-linear mathematical model. A Control law was obtained from minimising a cost function subject to dynamic system constraints, using a quadratic programmed (QP) algorithm. A linear programming (LP) algorithm was used for finding a sub-optimal operation point for the process in stationary state.