Abstract: Refining industry uses advanced control techniques because of the need to improve processes and get better quality products at lower cost. Distillation consumes much energy, for that reason, new control alternatives that provide better process efficiency are being sought. The new control techniques are oriented to improve response times and reduce system the energy consumption. The application of adaptive controllers for this type of process opens a wide field of study to verify their versatility and robustness using simulation programs, through these is easy to test the effectiveness of the controller and determine, if their behavior are the desired. In this study, the performance of a MIMO MRAC controller is shown from Lyapunov laws applied to a binary distillation column, introducing the mathematical development of the plant, its linearization, decoupling and obtaining the controller functions. Also, implementation of the scheme plant-controller is performed and its subsequent simulation, analyzing the behavior of the responses to verify the effectiveness of this type of controller.