Comparative simulation of Natural Logic Control versus fuzzy and classical control on a distillation column model

MIMO (multi inputs multi outputs) systems are difficult to be handled by simple Fuzzy Controllers (CF), because of the dimension of the nonlinear hyper surface developed by such regulator. The Natural Logic Controller (NLC), presented by (Aceves and Aguilar 1999), overcomes this difficulty by considering the connection of all necessary outputs as a fuzzy- logic combination using t-norms. This approach propose an important simplification of the FC that allow easy-design for SISO, SIMO and MIMO control problems. In this paper we present a comparative simulation between our approach, the PID approach and the FC approach on a MIMO distillation column. Our works show that the NLC reaches similar performances as FC and better results than PI control.